|colin calver||03/09/2019 11:02:04|
|28 forum posts|
How would you go about establishing marking out lines on a piece of stock 3 inches square to achieve biggest equilateral triangle. Thanks
16530 forum posts
Draw 60 deg line up from one corner then a 60 deg line from opposite corner, two lines will meet about 10mm down from the top.
EDIT you could actually get bigger by tilting the base side
Edited By JasonB on 03/09/2019 11:16:56
|David Jupp||03/09/2019 11:47:47|
|701 forum posts|
Taking that a bit further.
So if stock is a square, or you have a square marked out. Start in one corner - draw 2 lines at 15 degrees to sides of square, join the points where these 2 cross the other sides to make 3rd side of triangle..
Or set callipers/compasses to 3.106" , start from one corner of square, where compass arc crosses sides of square gives other 2 corners of triangle.
Edited By David Jupp on 03/09/2019 11:48:18
Edited By David Jupp on 03/09/2019 11:52:25
627 forum posts
You can get a bit bigger triangle by rotating it about one apex (not sure if that is the right term but one corner) , don't ask me how you would set it out except by trial and error.
David beat me to it!
Edited By Journeyman on 03/09/2019 11:49:43
|Andrew Johnston||03/09/2019 11:56:07|
4936 forum posts
Simple geometry, for a unit square the side of the largest equilateral triangle that can be inscribed is:
2*SQRT(2-SQRT(3)) ~ 1.0353
and the angle is 15 degrees as illustrated by David.
|Nicholas Farr||03/09/2019 12:54:21|
1997 forum posts
Hi, if your piece of stock isn't exactly square on any corner or if it is longer one way and you don't do cad, you can draw a square on a piece of paper that will fit onto your stock and mark the 15 degree lines off with a protractor and then cut the triangle shape out and glue it onto you stock and follow the edges to cut it out.
Edited By Nicholas Farr on 03/09/2019 13:01:58
|colin calver||03/09/2019 13:59:29|
|28 forum posts|
Thanks guys. Hours of beffudlement sorted in minutes.
|larry phelan 1||03/09/2019 19:02:20|
|527 forum posts|
As I have found out many times, it.s all part of the service !
Long may it last !!
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