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#1
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My math skills are non existent beyond basic math, and I'm trying to figure
out how to space holes evenly along a center line in an area. Let's say I have a rectulanglar block, 6" long ,less 1/4" on each end for a border and I want to evenly space 6- 3/4" holes. How do you figure that? My daughter-in-law says you can do that in one of those cheap home design programs. That would be ideal for me. Anyone use one of those programs that knows if they can be used for that? Thanks. -- Paul |
#2
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On 8/20/2011 12:46 PM, Paul wrote:
My math skills are non existent beyond basic math, and I'm trying to figure out how to space holes evenly along a center line in an area. Let's say I have a rectulanglar block, 6" long ,less 1/4" on each end for a border and I want to evenly space 6- 3/4" holes. How do you figure that? My daughter-in-law says you can do that in one of those cheap home design programs. That would be ideal for me. Anyone use one of those programs that knows if they can be used for that? Thanks. This will do the same thing for you: http://www.e-woodshop.net/files/SlatCalculation.xls I wrote this one to give me slat/spindle spacing for Arts and Crafts furniture projects, but it will work for holes, and fence posts if necessary. -- www.e-woodshop.net Last update: 4/15/2010 KarlC@ (the obvious) |
#3
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On 8/20/2011 1:00 PM, Swingman wrote:
On 8/20/2011 12:46 PM, Paul wrote: My math skills are non existent beyond basic math, and I'm trying to figure out how to space holes evenly along a center line in an area. Let's say I have a rectulanglar block, 6" long ,less 1/4" on each end for a border and I want to evenly space 6- 3/4" holes. How do you figure that? My daughter-in-law says you can do that in one of those cheap home design programs. That would be ideal for me. Anyone use one of those programs that knows if they can be used for that? Thanks. This will do the same thing for you: http://www.e-woodshop.net/files/SlatCalculation.xls I wrote this one to give me slat/spindle spacing for Arts and Crafts furniture projects, but it will work for holes, and fence posts if necessary. I forgot to mention: In Excel, right click on C7|Format Cell| and choose your desired fraction. I use 1/16 The last time it was used before it was uploaded years ago, someone obviously changed the fraction denominator. -- www.e-woodshop.net Last update: 4/15/2010 KarlC@ (the obvious) |
#4
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On 8/20/2011 12:46 PM, Paul wrote:
My math skills are non existent beyond basic math, and I'm trying to figure out how to space holes evenly along a center line in an area. Let's say I have a rectulanglar block, 6" long ,less 1/4" on each end for a border and I want to evenly space 6- 3/4" holes. How do you figure that? My daughter-in-law says you can do that in one of those cheap home design programs. That would be ideal for me. Anyone use one of those programs that knows if they can be used for that? Thanks. "Evenly spaced" how, precisely? 6"-2*(1/4") - 6*(3/4") -- only 5.5"-4.5" = 1" total space left between holes...is that what you really intend? An even number evenly spaced would be half the distance from the middle to each of the first; and odd number would have the midpoint of one in the middle of the length. It's not difficult but need more definition of the actual layout desired methinks; this doesn't sound like a useful arrangement even having no clue what the application is... -- |
#5
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Paul wrote:
My math skills are non existent beyond basic math, and I'm trying to figure out how to space holes evenly along a center line in an area. Let's say I have a rectulanglar block, 6" long ,less 1/4" on each end for a border and I want to evenly space 6- 3/4" holes. How do you figure that? My daughter-in-law says you can do that in one of those cheap home design programs. That would be ideal for me. Anyone use one of those programs that knows if they can be used for that? Thanks. Overkill. Easy if you just draw 6 holes on a piece of paper, just basic math. 6 holes = 7 non-hole spaces needed 6" - (1/4 + 1/4) = 5 1/2" for holes after accounting for 2 outside non-hole spaces 6 * 3/4 = 18/4 = 4 1/2" of space occupied by holes 5 1/2 - 4 1/2 = 1" of non-hole space of the 6 holes 1"/ 5 remaining non-hole spaces = 1/5 inch between holes. So... 1. Draw a horizontal line 2. Mark a hole center at 1/4 + (3/4/2) which = 5/8 3. Mark additional centers at 3/4 + 1/5 from preceding center mark 4. Drill holes Note: with dimensions like that it is unlikely you will wind up with 1/4" as a border for the last hole. -- dadiOH ____________________________ dadiOH's dandies v3.06... ....a help file of info about MP3s, recording from LP/cassette and tips & tricks on this and that. Get it at http://mysite.verizon.net/xico |
#6
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dadiOH wrote the following:
Paul wrote: My math skills are non existent beyond basic math, and I'm trying to figure out how to space holes evenly along a center line in an area. Let's say I have a rectulanglar block, 6" long ,less 1/4" on each end for a border and I want to evenly space 6- 3/4" holes. How do you figure that? My daughter-in-law says you can do that in one of those cheap home design programs. That would be ideal for me. Anyone use one of those programs that knows if they can be used for that? Thanks. Overkill. Easy if you just draw 6 holes on a piece of paper, just basic math. 6 holes = 7 non-hole spaces needed 6" - (1/4 + 1/4) = 5 1/2" for holes after accounting for 2 outside non-hole spaces 6 * 3/4 = 18/4 = 4 1/2" of space occupied by holes 5 1/2 - 4 1/2 = 1" of non-hole space of the 6 holes 1"/ 5 remaining non-hole spaces = 1/5 inch between holes. So... 1. Draw a horizontal line 2. Mark a hole center at 1/4 + (3/4/2) which = 5/8 3. Mark additional centers at 3/4 + 1/5 from preceding center mark 4. Drill holes Note: with dimensions like that it is unlikely you will wind up with 1/4" as a border for the last hole. I hate math. :-) -- Bill In Hamptonburgh, NY In the original Orange County. Est. 1683 To email, remove the double zeroes after @ |
#7
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In article , willshak wrote:
dadiOH wrote the following: Paul wrote: My math skills are non existent beyond basic math, and I'm trying to figure out how to space holes evenly along a center line in an area. Let's say I have a rectulanglar block, 6" long ,less 1/4" on each end for a border and I want to evenly space 6- 3/4" holes. How do you figure that? My daughter-in-law says you can do that in one of those cheap home design programs. That would be ideal for me. Anyone use one of those programs that knows if they can be used for that? Thanks. Overkill. Easy if you just draw 6 holes on a piece of paper, just basic math. 6 holes = 7 non-hole spaces needed 6" - (1/4 + 1/4) = 5 1/2" for holes after accounting for 2 outside non-hole spaces 6 * 3/4 = 18/4 = 4 1/2" of space occupied by holes 5 1/2 - 4 1/2 = 1" of non-hole space of the 6 holes 1"/ 5 remaining non-hole spaces = 1/5 inch between holes. So... 1. Draw a horizontal line 2. Mark a hole center at 1/4 + (3/4/2) which = 5/8 3. Mark additional centers at 3/4 + 1/5 from preceding center mark 4. Drill holes Note: with dimensions like that it is unlikely you will wind up with 1/4" as a border for the last hole. I hate math. :-) The proper conclusion to draw from the above is "I hate Imperial measurements." This problem is absolutely trivial with metric measurements (see my other post in this thread). |
#8
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On 8/20/2011 2:59 PM, Doug Miller wrote:
In articleVtudnVBHcYLpn83TnZ2dnUVZ_j2dnZ2d@supernews .com, wrote: dadiOH wrote the following: Paul wrote: My math skills are non existent beyond basic math, and I'm trying to figure out how to space holes evenly along a center line in an area. Let's say I have a rectulanglar block, 6" long ,less 1/4" on each end for a border and I want to evenly space 6- 3/4" holes. How do you figure that? My daughter-in-law says you can do that in one of those cheap home design programs. That would be ideal for me. Anyone use one of those programs that knows if they can be used for that? Thanks. Overkill. Easy if you just draw 6 holes on a piece of paper, just basic math. 6 holes = 7 non-hole spaces needed 6" - (1/4 + 1/4) = 5 1/2" for holes after accounting for 2 outside non-hole spaces 6 * 3/4 = 18/4 = 4 1/2" of space occupied by holes 5 1/2 - 4 1/2 = 1" of non-hole space of the 6 holes 1"/ 5 remaining non-hole spaces = 1/5 inch between holes. So... 1. Draw a horizontal line 2. Mark a hole center at 1/4 + (3/4/2) which = 5/8 3. Mark additional centers at 3/4 + 1/5 from preceding center mark 4. Drill holes Note: with dimensions like that it is unlikely you will wind up with 1/4" as a border for the last hole. I hate math. :-) The proper conclusion to draw from the above is "I hate Imperial measurements." This problem is absolutely trivial with metric measurements (see my other post in this thread). I agree ... further compounding the problem is it's unclear whether the OP really wants to: "evenly space (six)6- 3/4" holes" in 5 1/2" between the borders. It that is truly the case, my spreadsheet is correct: http://www.e-woodshop.net/files/Slat...finPudding.jpg - or 3.571875mm between each hole and the borders. If he want the edge of the circles to touch the 1/4" borders on either side, he wants 13/64" between the circles with the edges touching the 1/4" borders: http://www.e-woodshop.net/files/Slat...inPudding2.jpg -- www.e-woodshop.net Last update: 4/15/2010 KarlC@ (the obvious) |
#9
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On 8/20/2011 1:15 PM, dadiOH wrote:
Paul wrote: My math skills are non existent beyond basic math, and I'm trying to figure out how to space holes evenly along a center line in an area. Let's say I have a rectulanglar block, 6" long ,less 1/4" on each end for a border and I want to evenly space 6- 3/4" holes. How do you figure that? My daughter-in-law says you can do that in one of those cheap home design programs. That would be ideal for me. Anyone use one of those programs that knows if they can be used for that? Thanks. Overkill. Easy if you just draw 6 holes on a piece of paper, just basic math. 6 holes = 7 non-hole spaces needed 6" - (1/4 + 1/4) = 5 1/2" for holes after accounting for 2 outside non-hole spaces 6 * 3/4 = 18/4 = 4 1/2" of space occupied by holes 5 1/2 - 4 1/2 = 1" of non-hole space of the 6 holes 1"/ 5 remaining non-hole spaces = 1/5 inch between holes. So... 1. Draw a horizontal line 2. Mark a hole center at 1/4 + (3/4/2) which = 5/8 3. Mark additional centers at 3/4 + 1/5 from preceding center mark 4. Drill holes Note: with dimensions like that it is unlikely you will wind up with 1/4" as a border for the last hole. Using my spreadsheet will get you within 1/64". Which should be well within "not visually objectionable" range. Due to the displayed granularity/rounding error of Excel spreadsheet: Format Cell C7 = "as hundreds" S= 5 1/12" W= 3/4" n= 6 x= 14/100 or roughly 9/64" Starting with the left edge of the first hole at 9/64" from the left border, you will be 1/64" off, or 5/32" between the right edge of the sixth hole and the right hand border. -- www.e-woodshop.net Last update: 4/15/2010 KarlC@ (the obvious) |
#10
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On 8/20/2011 2:26 PM, Swingman wrote:
S= 5 1/12" ^^ S= 5 1/2" NOT 5 1/12"!! Damn typo fingers! W= 3/4" n= 6 x= 14/100 or roughly 9/64" Starting with the left edge of the first hole at 9/64" from the left border, you will be 1/64" off, or 5/32" between the right edge of the sixth hole and the right hand border. -- www.e-woodshop.net Last update: 4/15/2010 KarlC@ (the obvious) |
#11
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In article , "Paul" wrote:
My math skills are non existent beyond basic math, and I'm trying to figure out how to space holes evenly along a center line in an area. Let's say I have a rectulanglar block, 6" long ,less 1/4" on each end for a border and I want to evenly space 6- 3/4" holes. How do you figure that? My daughter-in-law says you can do that in one of those cheap home design programs. That would be ideal for me. Anyone use one of those programs that knows if they can be used for that? Thanks. Well, this *is* basic math: all you need is simple arithmetic (addition, subtraction, multiplication, and division). What complicates this one is the use of a measuring system that's approximately a thousand years old. You have a total of 6" less two 1/4" borders = 5 1/2" to put the holes in. Six 3/4" holes take up 6 * 3/4" = 4 1/2" of that 5 1/2", leaving 1" for spaces between the holes. Since there are 6 holes, there will be 5 spaces between them. You have 1" total to make 5 spaces, so each space will be 1/5". The distance between the centers of the holes will be 3/4" (the width of the hole) plus 1/5" (the spacing between holes) -- this will be difficult to measure with tapes or rules marked in inches. I suggest you choose one of the two options below instead. Option 1 ----------- Increase the size of the borders by 1/32" to 9/32". This will leave you 5 7/16" to put 4 1/2" worth of holes in, leaving 15/16" to divide among five spaces between holes. 15/16" divided among five spaces = 3/16" per space -- and *that* you *can* measure easily. This gives you a distance between centers of 3/4" + 3/16" = 15/16". So mark the center of the first hole at 9/32" (the width of the border) plus 3/8" (*half* the width of the hole) = 21/32" in from one end. (3/8 = 6/16 = 12/32; 9/32 + 12/32 = 21/32) Subsequent holes are centered every 15/16" from the 21/32 + 15/16 = 21/32 + 30/32 = 51/32 = 1 29/32 1 19/32 + 15/16 = 1 19/32 + 30/32 = 1 49/32 = 2 27/32 2 27/32 + 15/16 = 2 27/32 + 30/32 = 2 57/32 = 3 25/32 3 25/32 + 15/16 = 3 25/32 + 30/32 = 3 55/32 = 4 23/32 4 23/32 + 15/16 = 4 23/32 + 30/32 = 4 53/32 = 5 21/32 Option 2 ---------- Redo everything in metric. It's SO much easier. A number of years ago, I was in Toronto on business. Having utterly failed in my attempts to find a metric tape measure at home, I asked one of the guys I was working with where I could find a hardware store. He wondered why; I told him -- and he asked in honest bewilderment what on earth an American would want with a metric tape measure. My answer was that I'm a woodworker, and solving problems such as this is FAR easier with measurements in millimeters, rather than fractional inches -- as you're about to see, too. It's much easier to find metric tapes in American hardware stores now than it was in the 1980s. So go buy yourself a tape measure that has dual scales (inches and millimeters). That will make it easy to see the relationships between the two systems. Then remeasure. You will find that: - your block is 152mm long. - you want a 6mm border at each end. - you want to evenly space six 19mm holes. 152mm less two 6mm borders leaves (152mm - 6mm - 6mm) = 140mm. Six 19mm holes occupy 6 * 19mm = 114mm You have (140mm - 114mm) = 26mm available for the five spaces between the six holes, so there will be (26mm / 5) = 5.2mm between each hole. Ignore the point-two millimeters; you can't measure that fine anyway. The holes will be centered every (19mm + 5mm) = 24mm. The first hole should be a distance of 6mm (the width of the border) plus 9.5mm (half the width of the hole -- round it off to 10mm) = 16mm in from one end of the board. Subsequent holes are centered every 24mm after that: 16mm + 24mm = 40mm 40mm + 24mm = 64mm 64mm + 24mm = 88mm 88mm + 24mm = 112mm 112mm + 24mm = 136mm And looky the the last hole is (152mm - 136mm) = 16mm in from the end, same as the first one. Isn't that a lot simpler? |
#12
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Doug Miller wrote:
Then remeasure. You will find that: - your block is 152mm long. - you want a 6mm border at each end. No he doesn't, he wants 1/4" and 6mm doesn't equal that. Close but no cigar, so much for metric unless you can measure 6.35mm on that tape ![]() -- dadiOH ____________________________ dadiOH's dandies v3.06... ....a help file of info about MP3s, recording from LP/cassette and tips & tricks on this and that. Get it at http://mysite.verizon.net/xico |
#13
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In article , "dadiOH" wrote:
Doug Miller wrote: Then remeasure. You will find that: - your block is 152mm long. - you want a 6mm border at each end. No he doesn't, he wants 1/4" and 6mm doesn't equal that. Close but no cigar, so much for metric unless you can measure 6.35mm on that tape ![]() Do you *really* think that 0.35 millimeters (less than 14 thousandths of an inch) is going to be noticeable? Or are you just trying to be argumentative? Had enough of that from SWMBO this past week, don't need it from you too. |
#14
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![]() "Doug Miller" wrote in message ... In article , "dadiOH" wrote: Doug Miller wrote: Then remeasure. You will find that: - your block is 152mm long. - you want a 6mm border at each end. No he doesn't, he wants 1/4" and 6mm doesn't equal that. Close but no cigar, so much for metric unless you can measure 6.35mm on that tape ![]() Do you *really* think that 0.35 millimeters (less than 14 thousandths of an inch) is going to be noticeable? Or are you just trying to be argumentative? Had enough of that from SWMBO this past week, don't need it from you too. My guess is he wants them about "this far in" holding fingers apart about 1/4" or 6.35mm or 4.115 parsecs |
#15
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Doug Miller wrote:
In article , "dadiOH" wrote: Doug Miller wrote: Then remeasure. You will find that: - your block is 152mm long. - you want a 6mm border at each end. No he doesn't, he wants 1/4" and 6mm doesn't equal that. Close but no cigar, so much for metric unless you can measure 6.35mm on that tape ![]() Do you *really* think that 0.35 millimeters (less than 14 thousandths of an inch) is going to be noticeable? Or are you just trying to be argumentative? Had enough of that from SWMBO this past week, don't need it from you too. Just pointing out that metric isn't the be-all and end-all ![]() -- dadiOH ____________________________ dadiOH's dandies v3.06... ....a help file of info about MP3s, recording from LP/cassette and tips & tricks on this and that. Get it at http://mysite.verizon.net/xico |
#16
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In article , "dadiOH" wrote:
Doug Miller wrote: In article , "dadiOH" wrote: Doug Miller wrote: Then remeasure. You will find that: - your block is 152mm long. - you want a 6mm border at each end. No he doesn't, he wants 1/4" and 6mm doesn't equal that. Close but no cigar, so much for metric unless you can measure 6.35mm on that tape ![]() Do you *really* think that 0.35 millimeters (less than 14 thousandths of an inch) is going to be noticeable? Or are you just trying to be argumentative? Had enough of that from SWMBO this past week, don't need it from you too. Just pointing out that metric isn't the be-all and end-all ![]() No, but it sure makes the calculations a LOT easier. Reduces the risk of error, too, because you're always adding either integers or decimals -- not mixed fractions. |
#17
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On Sat, 20 Aug 2011 20:53:17 +0000, Doug Miller wrote:
No he doesn't, he wants 1/4" and 6mm doesn't equal that. Close but no cigar, so much for metric unless you can measure 6.35mm on that tape ![]() Do you *really* think that 0.35 millimeters (less than 14 thousandths of an inch) is going to be noticeable? Or are you just trying to be argumentative? I bought some wood taps and dies once to make some wooden vise screws. I used a 1" dowel (yes it was 1") for the screw. I cut threads in it and the hole to receive it with no problem. But the screw wouldn't fit. Turns out the tap and die were 25mm, not 1" (25.4). So yes, it can make a difference. I got a fresh dowel and turned it down to 25mm or a little less. -- Intelligence is an experiment that failed - G. B. Shaw |
#18
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In article , Larry Blanchard wrote:
On Sat, 20 Aug 2011 20:53:17 +0000, Doug Miller wrote: No he doesn't, he wants 1/4" and 6mm doesn't equal that. Close but no cigar, so much for metric unless you can measure 6.35mm on that tape ![]() Do you *really* think that 0.35 millimeters (less than 14 thousandths of an inch) is going to be noticeable? Or are you just trying to be argumentative? I bought some wood taps and dies once to make some wooden vise screws. I used a 1" dowel (yes it was 1") for the screw. I cut threads in it and the hole to receive it with no problem. But the screw wouldn't fit. Turns out the tap and die were 25mm, not 1" (25.4). So yes, it can make a difference. I got a fresh dowel and turned it down to 25mm or a little less. Totally different context. When you're talking about fitting a shaft into a hole, tolerances of 0.005" or less can be critical. When you're talking about a border around something, the difference between 1/4" and 6mm is unlikely to be important to anyone, or indeed even noticeable. |
#19
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On Saturday, August 20, 2011 at 3:53:17 PM UTC-5, Doug Miller wrote:
In article , "dadiOH" wrote: Doug Miller wrote: Then remeasure. You will find that: - your block is 152mm long. - you want a 6mm border at each end. No he doesn't, he wants 1/4" and 6mm doesn't equal that. Close but no cigar, so much for metric unless you can measure 6.35mm on that tape ![]() Do you *really* think that 0.35 millimeters (less than 14 thousandths of an inch) is going to be noticeable? Or are you just trying to be argumentative? Had enough of that from SWMBO this past week, don't need it from you too. This is an old, old, old theread. But could not resist. There are two types of countries in the world. The ones that use the metric systems, and the ones that have walked on the moon. You do the math. |
#20
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![]() "Doug Miller" wrote in message ... In article , "Paul" wrote: My math skills are non existent beyond basic math, and I'm trying to figure out how to space holes evenly along a center line in an area. Let's say I have a rectulanglar block, 6" long ,less 1/4" on each end for a border and I want to evenly space 6- 3/4" holes. How do you figure that? My daughter-in-law says you can do that in one of those cheap home design programs. That would be ideal for me. Anyone use one of those programs that knows if they can be used for that? Thanks. Well, this *is* basic math: all you need is simple arithmetic (addition, subtraction, multiplication, and division). What complicates this one is the use of a measuring system that's approximately a thousand years old. You have a total of 6" less two 1/4" borders = 5 1/2" to put the holes in. Six 3/4" holes take up 6 * 3/4" = 4 1/2" of that 5 1/2", leaving 1" for spaces between the holes. Since there are 6 holes, there will be 5 spaces between them. You have 1" total to make 5 spaces, so each space will be 1/5". The distance between the centers of the holes will be 3/4" (the width of the hole) plus 1/5" (the spacing between holes) -- this will be difficult to measure with tapes or rules marked in inches. I suggest you choose one of the two options below instead. Option 1 ----------- Increase the size of the borders by 1/32" to 9/32". This will leave you 5 7/16" to put 4 1/2" worth of holes in, leaving 15/16" to divide among five spaces between holes. 15/16" divided among five spaces = 3/16" per space -- and *that* you *can* measure easily. This gives you a distance between centers of 3/4" + 3/16" = 15/16". So mark the center of the first hole at 9/32" (the width of the border) plus 3/8" (*half* the width of the hole) = 21/32" in from one end. (3/8 = 6/16 = 12/32; 9/32 + 12/32 = 21/32) Subsequent holes are centered every 15/16" from the 21/32 + 15/16 = 21/32 + 30/32 = 51/32 = 1 29/32 1 19/32 + 15/16 = 1 19/32 + 30/32 = 1 49/32 = 2 27/32 2 27/32 + 15/16 = 2 27/32 + 30/32 = 2 57/32 = 3 25/32 3 25/32 + 15/16 = 3 25/32 + 30/32 = 3 55/32 = 4 23/32 4 23/32 + 15/16 = 4 23/32 + 30/32 = 4 53/32 = 5 21/32 Option 2 ---------- Redo everything in metric. It's SO much easier. A number of years ago, I was in Toronto on business. Having utterly failed in my attempts to find a metric tape measure at home, I asked one of the guys I was working with where I could find a hardware store. He wondered why; I told him -- and he asked in honest bewilderment what on earth an American would want with a metric tape measure. My answer was that I'm a woodworker, and solving problems such as this is FAR easier with measurements in millimeters, rather than fractional inches -- as you're about to see, too. It's much easier to find metric tapes in American hardware stores now than it was in the 1980s. So go buy yourself a tape measure that has dual scales (inches and millimeters). That will make it easy to see the relationships between the two systems. Then remeasure. You will find that: - your block is 152mm long. - you want a 6mm border at each end. - you want to evenly space six 19mm holes. 152mm less two 6mm borders leaves (152mm - 6mm - 6mm) = 140mm. Six 19mm holes occupy 6 * 19mm = 114mm You have (140mm - 114mm) = 26mm available for the five spaces between the six holes, so there will be (26mm / 5) = 5.2mm between each hole. Ignore the point-two millimeters; you can't measure that fine anyway. The holes will be centered every (19mm + 5mm) = 24mm. The first hole should be a distance of 6mm (the width of the border) plus 9.5mm (half the width of the hole -- round it off to 10mm) = 16mm in from one end of the board. Subsequent holes are centered every 24mm after that: 16mm + 24mm = 40mm 40mm + 24mm = 64mm 64mm + 24mm = 88mm 88mm + 24mm = 112mm 112mm + 24mm = 136mm And looky the the last hole is (152mm - 136mm) = 16mm in from the end, same as the first one. Isn't that a lot simpler? I used to work designing and creating artwork for business forms. If they were to be run through a computer printer they had to be designed and created with precision. I still have a number of forms design rulers that have scales in various inch units such as 5/32", 5/64", 1/12", 1/6", 1/3", 1/10", 1/5", all the regular multiples of 1/32" common most rulers in addition to metric. Spacing in typesetter's points where 72 equal one inch, with scales in units such as 5 pt, 5 1/2 pt, 6, 7, 8, 9, 10, 12, 13, and 16 point multiples. I find that these scales are valuable in woodworking as one can find a scale to fit any need, plus they are stainless steel and almost indestructible. |
#21
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I'm surprised that no one has yet mentioned (unless I missed it) the old
trick of using a ruler, selecting a number of arbitrary evenly spaced markings corresponding to the number of holes needed, then angling the ruler diagonally across the workpiece (or on a bench where the workpiece is laying, if necessary) until lines drawn perpendicular to a line parallel to the holes match up with the selected ruler marks. No math or arithmetic necessary. Unfortunately easier shown than explained, but some older woodworking books have pictures of the technique. -- Better to be stuck up in a tree than tied to one. Larry Wasserman - Baltimore Maryland - lwasserm(a)sdf. lonestar.org |
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![]() "Larry W" wrote in message I'm surprised that no one has yet mentioned (unless I missed it) the old trick of using a ruler, selecting a number of arbitrary evenly spaced markings corresponding to the number of holes needed, then angling the ruler diagonally across the workpiece (or on a bench where the workpiece is laying, if necessary) until lines drawn perpendicular to a line parallel to the holes match up with the selected ruler marks. No math or arithmetic necessary. Unfortunately easier shown than explained, but some older woodworking books have pictures of the technique. This method has been mentioned. The problem is that even though the hole centers are spaced equally the spaces between the holes differs. i.e. The space between the left border and the first hole as well as the space between the last hole and the right border are twice the space between the other holes. It's up to the OP to decide if that is acceptable. phil k. |
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On Saturday, August 20, 2011 10:46:19 AM UTC-7, Paul wrote:
My math skills are non existent beyond basic math, and I'm trying to figure out how to space holes evenly along a center line in an area. Let's say I have a rectulanglar block, 6" long ,less 1/4" on each end for a border and I want to evenly space 6- 3/4" holes. First, locate hole #1 and #6 (mark the centers on the work). Then connect those centers with a line. Draw a second line through #1, and mark off six equal spacings on that second line (any spacing that comes out evenly on your ruler will do). Adjust a bevel so that one arm is on the secondary line, and the other arm connects #6 secondary to #6-actual. Then with that bevel set, trace from the other marks on the secondary line to the original line. |
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whit3rd wrote:
On Saturday, August 20, 2011 10:46:19 AM UTC-7, Paul wrote: My math skills are non existent beyond basic math, and I'm trying to figure out how to space holes evenly along a center line in an area. Let's say I have a rectulanglar block, 6" long ,less 1/4" on each end for a border and I want to evenly space 6- 3/4" holes. First, locate hole #1 and #6 (mark the centers on the work). Then connect those centers with a line. Draw a second line through #1, and mark off six equal spacings on that second line (any spacing that comes out evenly on your ruler will do). Adjust a bevel so that one arm is on the secondary line, and the other arm connects #6 secondary to #6-actual. Then with that bevel set, trace from the other marks on the secondary line to the original line. I hope the OP could follow that - cause I sure couldn't... -- -Mike- |
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On Saturday, August 20, 2011 3:41:49 PM UTC-7, Mike Marlow wrote:
whit3rd wrote: On Saturday, August 20, 2011 10:46:19 AM UTC-7, Paul wrote: My math skills are non existent beyond basic math, and I'm trying to figure out how to space [6] holes evenly First, locate hole #1 and #6 (mark the centers on the work). Then connect those centers with a line. Draw a second line through #1, and mark off six equal spacings on that second line (any spacing that comes out evenly on your ruler will do). Adjust a bevel so that one arm is on the secondary line, and the other arm connects #6 secondary to #6-actual. Then with that bevel set, trace from the other marks on the secondary line to the original line. I hope the OP could follow that - cause I sure couldn't... It's the compass-and-straightedge method to evenly divide a line segment: make a second line that is measured off into N equal bits, connect the Nth mark on second line to the end of the primary line segment to make a triangle, then (using a bevel in this case to replicate the angle) by simlar triangles, construct the equally spaced points on the original line segment. It doesn't really need any ruler at all (dividers can make equal-size divisions). |
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whit3rd wrote in
. com: First, locate hole #1 and #6 (mark the centers on the work). Then connect those centers with a line. Draw a second line through #1, and mark off six equal spacings on that second line (any spacing that comes out evenly on your ruler will do). Adjust a bevel so that one arm is on the secondary line, and the other arm connects #6 secondary to #6-actual. Then with that bevel set, trace from the other marks on the secondary line to the original line. I hope the OP could follow that - cause I sure couldn't... It's the compass-and-straightedge method to evenly divide a line segment: make a second line that is measured off into N equal bits, connect the Nth mark on second line to the end of the primary line segment to make a triangle, then (using a bevel in this case to replicate the angle) by simlar triangles, construct the equally spaced points on the original line segment. It doesn't really need any ruler at all (dividers can make equal-size divisions). An interesting method. Here's the first hit for a webpage describing the method: http://www.mathopenref.com/constdividesegment.html Sometimes geometry is much easier than algebra. I apologize in advance if the flash app at the top is something undesired. I don't have flash installed on my system so I can't see it. Puckdropper |
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Puckdropper wrote:
whit3rd wrote in . com: First, locate hole #1 and #6 (mark the centers on the work). Then connect those centers with a line. Draw a second line through #1, and mark off six equal spacings on that second line (any spacing that comes out evenly on your ruler will do). Adjust a bevel so that one arm is on the secondary line, and the other arm connects #6 secondary to #6-actual. Then with that bevel set, trace from the other marks on the secondary line to the original line. I hope the OP could follow that - cause I sure couldn't... It's the compass-and-straightedge method to evenly divide a line segment: make a second line that is measured off into N equal bits, connect the Nth mark on second line to the end of the primary line segment to make a triangle, then (using a bevel in this case to replicate the angle) by simlar triangles, construct the equally spaced points on the original line segment. It doesn't really need any ruler at all (dividers can make equal-size divisions). An interesting method. Here's the first hit for a webpage describing the method: http://www.mathopenref.com/constdividesegment.html Sometimes geometry is much easier than algebra. I apologize in advance if the flash app at the top is something undesired. I don't have flash installed on my system so I can't see it. Now that's a method I was not at all familiar with. I didn't get that from whit3rd's description, but that method would require a lot more description for me to have understood that. -- -Mike- |
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On Aug 20, 8:02*pm, whit3rd wrote:
It's the compass-and-straightedge method I recall reading somewhere that you could accomplish this task w/o the math. It involved drawing a line diagonally through the rectangular area intended to receive the holes. It was explaining, as I recall, how to evenly space shelf support pin holes on the interior sides of a bookshelf. As I recall. you measured the resulting line and divided it in half at the middle, then repeated this with the resulting segments on either side (marking the "center points" as you went along. Then, taking a square to the edge of the board and through each point along the diagonal line, made a hash mark at the center of the board. Each of these would, then be the center of your evenly-spaced holes. Anyone know of something like this (recalling it from distant memory). |
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On Sun, 21 Aug 2011 09:44:08 -0700 (PDT), Hoosierpopi
wrote: On Aug 20, 8:02*pm, whit3rd wrote: It's the compass-and-straightedge method I recall reading somewhere that you could accomplish this task w/o the math. It involved drawing a line diagonally through the rectangular area intended to receive the holes. It was explaining, as I recall, how to evenly space shelf support pin holes on the interior sides of a bookshelf. As I recall. you measured the resulting line and divided it in half at the middle, then repeated this with the resulting segments on either side (marking the "center points" as you went along. Then, taking a square to the edge of the board and through each point along the diagonal line, made a hash mark at the center of the board. Each of these would, then be the center of your evenly-spaced holes. Anyone know of something like this (recalling it from distant memory). That works for certain number of holes (2^n-1) holes but not for an arbitrary number of holes. The OP wants six holes. This problem is essentially the "trisecting the angle" geometry problem, which has no solution (bisection is possible, but an arbitrary number is not). |
#30
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if you are just trying to "do it", then here is a very easy way...
mark your left starting edge and right starting edge, then lay a ruler diagonal from the left edge to the right edge in such a way that the whole numbers (1,2,3.. ) line up perfectly and divisible by whatever spacing you want. for example -- say you have a board that is 9.939 (the point being, it does not matter) and you want to come in .5" from the left and .5" from the right -- mark those left and right margins on the board. now say you want to divide that space by 5. so you have 9.939 -1 or 8.939 of material to divide. take a ruler and place the "0" on the left margin that you marked and just let the right side of the ruler come down diagonally to align the 10" measurement on the ruler to the right side margin. the ruler will now be at some angle -- does not matter what. simple mark the 2", 4", 6", and 8" markings of the ruler onto the material. you have just equally spaced the material between your left and right margin into 5 equal parts. If you wanted to make it 6 equal parts then bring the 12" ruler marking down to the right margin line. now mark the material at 2, 4, 6, 8, and 10 -- giving you 6 equal parts. hopefully you get the idea. you can use whatever ruler markings you want -- 1,2,3,4 or 2,4,6,8, etc or 1.5, 3, 4.5, 6, etc so long as you use the same increment and the ruler is on some (any) diagonal (must be diagonal -- straight across does not work). now center up a hole on those lines and they will be perfectly aligned. the key with circles is to work off of the center points whenever possible. good luck -- credit for this goes to some article i've read in the last few months -- dont recall where -- absolutely brilliant though. |
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On 8/20/2011 12:46 PM, Paul wrote:
My math skills are non existent beyond basic math, and I'm trying to figure out how to space holes evenly along a center line in an area. Let's say I have a rectulanglar block, 6" long ,less 1/4" on each end for a border and I want to evenly space 6- 3/4" holes. How do you figure that? My daughter-in-law says you can do that in one of those cheap home design programs. That would be ideal for me. Anyone use one of those programs that knows if they can be used for that? Thanks. Start first hole center 29/32" from the end. Center each of the remaining hole 25/32" from the first hole center. |
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On 8/20/2011 4:42 PM, Leon wrote:
On 8/20/2011 12:46 PM, Paul wrote: My math skills are non existent beyond basic math, and I'm trying to figure out how to space holes evenly along a center line in an area. Let's say I have a rectulanglar block, 6" long ,less 1/4" on each end for a border and I want to evenly space 6- 3/4" holes. How do you figure that? My daughter-in-law says you can do that in one of those cheap home design programs. That would be ideal for me. Anyone use one of those programs that knows if they can be used for that? Thanks. Start first hole center 29/32" from the end. Center each of the remaining hole 25/32" from the first hole center. See pdf in a.b.p.wppdwprking hole spacing. |
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Leon wrote the following:
On 8/20/2011 4:42 PM, Leon wrote: On 8/20/2011 12:46 PM, Paul wrote: My math skills are non existent beyond basic math, and I'm trying to figure out how to space holes evenly along a center line in an area. Let's say I have a rectulanglar block, 6" long ,less 1/4" on each end for a border and I want to evenly space 6- 3/4" holes. How do you figure that? My daughter-in-law says you can do that in one of those cheap home design programs. That would be ideal for me. Anyone use one of those programs that knows if they can be used for that? Thanks. Start first hole center 29/32" from the end. Center each of the remaining hole 25/32" from the first hole center. See pdf in a.b.p.wppdwprking hole spacing. You like that 'p' key, huh? -- Bill In Hamptonburgh, NY In the original Orange County. Est. 1683 To email, remove the double zeroes after @ |
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On 8/20/2011 5:03 PM, willshak wrote:
Leon wrote the following: On 8/20/2011 4:42 PM, Leon wrote: On 8/20/2011 12:46 PM, Paul wrote: My math skills are non existent beyond basic math, and I'm trying to figure out how to space holes evenly along a center line in an area. Let's say I have a rectulanglar block, 6" long ,less 1/4" on each end for a border and I want to evenly space 6- 3/4" holes. How do you figure that? My daughter-in-law says you can do that in one of those cheap home design programs. That would be ideal for me. Anyone use one of those programs that knows if they can be used for that? Thanks. Start first hole center 29/32" from the end. Center each of the remaining hole 25/32" from the first hole center. See pdf in a.b.p.wppdwprking hole spacing. You like that 'p' key, huh? Some times the keys on my key board trade places. '~) |
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On 8/20/2011 4:55 PM, Leon wrote:
On 8/20/2011 4:42 PM, Leon wrote: On 8/20/2011 12:46 PM, Paul wrote: My math skills are non existent beyond basic math, and I'm trying to figure out how to space holes evenly along a center line in an area. Let's say I have a rectulanglar block, 6" long ,less 1/4" on each end for a border and I want to evenly space 6- 3/4" holes. How do you figure that? My daughter-in-law says you can do that in one of those cheap home design programs. That would be ideal for me. Anyone use one of those programs that knows if they can be used for that? Thanks. Start first hole center 29/32" from the end. Center each of the remaining hole 25/32" from the first hole center. See pdf in a.b.p.wppdwprking hole spacing. That's the same thing my spreadsheet came up with a couple of hours ago, in about 1/10 and 1/2 seconds. LOL The question remains ... is it really what the OP is asking for? He could want the edge of the holes 1/4" from the edge of the 6" board. -- www.e-woodshop.net Last update: 4/15/2010 KarlC@ (the obvious) |
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On 8/20/2011 5:14 PM, Swingman wrote:
On 8/20/2011 4:55 PM, Leon wrote: On 8/20/2011 4:42 PM, Leon wrote: On 8/20/2011 12:46 PM, Paul wrote: My math skills are non existent beyond basic math, and I'm trying to figure out how to space holes evenly along a center line in an area. Let's say I have a rectulanglar block, 6" long ,less 1/4" on each end for a border and I want to evenly space 6- 3/4" holes. How do you figure that? My daughter-in-law says you can do that in one of those cheap home design programs. That would be ideal for me. Anyone use one of those programs that knows if they can be used for that? Thanks. Start first hole center 29/32" from the end. Center each of the remaining hole 25/32" from the first hole center. See pdf in a.b.p.wppdwprking hole spacing. That's the same thing my spreadsheet came up with a couple of hours ago, in about 1/10 and 1/2 seconds. LOL The question remains ... is it really what the OP is asking for? He could want the edge of the holes 1/4" from the edge of the 6" board. Spread sheet! I dont need no stinking Spread sheet. LOL I took 6" -1/2" for both borders - 4 1/2" for the holes and ended up with 1. Divided 1 by the number of spaces, 7, and got .014285" for the spaces, then I drew it. '~0 |
#37
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![]() "Leon" lcb11211@swbelldotnet wrote in message ... On 8/20/2011 5:14 PM, Swingman wrote: On 8/20/2011 4:55 PM, Leon wrote: On 8/20/2011 4:42 PM, Leon wrote: On 8/20/2011 12:46 PM, Paul wrote: My math skills are non existent beyond basic math, and I'm trying to figure out how to space holes evenly along a center line in an area. Let's say I have a rectulanglar block, 6" long ,less 1/4" on each end for a border and I want to evenly space 6- 3/4" holes. How do you figure that? My daughter-in-law says you can do that in one of those cheap home design programs. That would be ideal for me. Anyone use one of those programs that knows if they can be used for that? Thanks. Start first hole center 29/32" from the end. Center each of the remaining hole 25/32" from the first hole center. See pdf in a.b.p.wppdwprking hole spacing. That's the same thing my spreadsheet came up with a couple of hours ago, in about 1/10 and 1/2 seconds. LOL The question remains ... is it really what the OP is asking for? He could want the edge of the holes 1/4" from the edge of the 6" board. Spread sheet! I dont need no stinking Spread sheet. LOL I took 6" -1/2" for both borders - 4 1/2" for the holes and ended up with 1. Divided 1 by the number of spaces, 7, and got .014285" for the spaces, then I drew it. '~0 6" - 1/2" = 5.50" /7 = .7857 inch = 1.9956 cm so 2 cm spacing then drill each hole. http://www.seoconsultants.com/charts/inches-decimal/ or 25/32 = ..78125 closest to .7857 Pin |
#38
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On 8/21/2011 6:40 AM, Leon wrote:
On 8/20/2011 5:14 PM, Swingman wrote: On 8/20/2011 4:55 PM, Leon wrote: On 8/20/2011 4:42 PM, Leon wrote: On 8/20/2011 12:46 PM, Paul wrote: My math skills are non existent beyond basic math, and I'm trying to figure out how to space holes evenly along a center line in an area. Let's say I have a rectulanglar block, 6" long ,less 1/4" on each end for a border and I want to evenly space 6- 3/4" holes. How do you figure that? My daughter-in-law says you can do that in one of those cheap home design programs. That would be ideal for me. Anyone use one of those programs that knows if they can be used for that? Thanks. Start first hole center 29/32" from the end. Center each of the remaining hole 25/32" from the first hole center. See pdf in a.b.p.wppdwprking hole spacing. That's the same thing my spreadsheet came up with a couple of hours ago, in about 1/10 and 1/2 seconds. LOL The question remains ... is it really what the OP is asking for? He could want the edge of the holes 1/4" from the edge of the 6" board. Spread sheet! I dont need no stinking Spread sheet. LOL I took 6" -1/2" for both borders - 4 1/2" for the holes and ended up with 1. Divided 1 by the number of spaces, 7, and got .014285" for the spaces, then I drew it. '~0 Except that it's .140xxx". LOL -- www.e-woodshop.net Last update: 4/15/2010 KarlC@ (the obvious) |
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On 8/21/2011 6:40 AM, Leon wrote:
Spread sheet! I dont need no stinking Spread sheet. LOL Getting older each day, I simply got damned tired of rebuilding the wheel every time I needed to _quickly_, and evenly, space slats between table or chair legs _without fuss_. .... and without putting the decimal place in the wrong spot. ![]() So I sat down, expressed how I came up with a solution algebraically one that ALWAYS works, to the decimal point each time I had to do it, and in less time that it takes to tell, and put it in a spreadsheet. It's called making technology work for you ... when you get old enough to experience old timer's disease, you'll understand, you young whippersnapper! may be sooner than you think with that B'day within a week ![]() -- www.e-woodshop.net Last update: 4/15/2010 KarlC@ (the obvious) |
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![]() "Leon" lcb11211@swbelldotnet wrote in message ... On 8/20/2011 4:42 PM, Leon wrote: On 8/20/2011 12:46 PM, Paul wrote: My math skills are non existent beyond basic math, and I'm trying to figure out how to space holes evenly along a center line in an area. Let's say I have a rectulanglar block, 6" long ,less 1/4" on each end for a border and I want to evenly space 6- 3/4" holes. How do you figure that? My daughter-in-law says you can do that in one of those cheap home design programs. That would be ideal for me. Anyone use one of those programs that knows if they can be used for that? Thanks. Start first hole center 29/32" from the end. Center each of the remaining hole 25/32" from the first hole center. See pdf in a.b.p.wppdwprking hole spacing. What is a.b.p.woodworking or a.b.o.woodworking? I look for binaries groups but see none Pin |
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