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23 replies
4k views
23 replies
How to calculate the diagonals in an oblique rectangle?
The fundamental problem is this -- I'm going to cut OSB boards to cover a wall surface where no corners are 90 degrees.
I know that the horizontal measurement at the top is 736 mm, at the bottom 729 mm, and the vertical measurement on the left 2288 mm and on the right 2290 mm. Pythagoras can take a hike because his theorem only applies to right-angled triangles.
If I had the diagonal measurements, I could measure up to the intersection points where the diagonals meet the length measurements, but I don't know how to calculate them.
There might be other, better, ways?
Yes, I know it's not that critical to have a gap here and there, but since it's vacation and I have the time, I want to do it nicely!
I know that the horizontal measurement at the top is 736 mm, at the bottom 729 mm, and the vertical measurement on the left 2288 mm and on the right 2290 mm. Pythagoras can take a hike because his theorem only applies to right-angled triangles.
If I had the diagonal measurements, I could measure up to the intersection points where the diagonals meet the length measurements, but I don't know how to calculate them.
There might be other, better, ways?
Yes, I know it's not that critical to have a gap here and there, but since it's vacation and I have the time, I want to do it nicely!
You need to measure something more in order to calculate it in a reasonable way. Either the diagonal measurement or the angle.
Can you measure an angle with a plumb line?
Maybe... I can level out (i.e., use a cross-line laserD Daniel 109 said:
View your wall surface as two triangles sharing a side on the diagonal.
Use a string to measure one 2.3m side and mark it on the edge of the OSB board.
With the string, determine the 0.7m side. Lock one end of the string at the corner of the 2.3m line, use the string like a compass and draw a curve inside on the board.
Then find the diagonal with the string, lock it at the other end of the 2.3m line and measure the intersection with the previous circle segment.
(If you're unlucky now, the intersection point will be outside the board. Then you'll have to redo the trick from the other direction.)
Repeat the trick with the two remaining sides, now using the diagonal as a reference.
Use a string to measure one 2.3m side and mark it on the edge of the OSB board.
With the string, determine the 0.7m side. Lock one end of the string at the corner of the 2.3m line, use the string like a compass and draw a curve inside on the board.
Then find the diagonal with the string, lock it at the other end of the 2.3m line and measure the intersection with the previous circle segment.
(If you're unlucky now, the intersection point will be outside the board. Then you'll have to redo the trick from the other direction.)
Repeat the trick with the two remaining sides, now using the diagonal as a reference.
...don't understand why you should try to figure this out.
Place the sheet on the floor as your reference. If you have a parallel measure on the height, cut it. Place the sheet there and push it to one side, measure how large the gap is and parallel shift your diagonal line corresponding to this. Do the same on the other side.
Place the sheet on the floor as your reference. If you have a parallel measure on the height, cut it. Place the sheet there and push it to one side, measure how large the gap is and parallel shift your diagonal line corresponding to this. Do the same on the other side.
The simplest way is to use a bevel and a protractor.FemTummar said:
The basic problem is this -- I need to cut OSB boards to cover a wall surface where no corners are 90 degrees.
I know the horizontal measurement at the top is 736 mm, at the bottom 729 mm, and the vertical measurement on the left 2288 mm and on the right 2290 mm. Pythagoras can go jump in a lake since his theorem only applies to right-angled triangles.
If I had the diagonal measurements, I could measure my way to the intersection points where the diagonals meet the length measurements, but I don't know how to calculate them.
There might be other, better, ways?
Yes, I know it's not so critical, but a gap here and there, but since it's vacation and I have time, I want to do it neatly!
Alternatively, take 2 pieces of paper and place the long side of the paper against the respective wall/ceiling and tape the papers together; then you have a template for the angle you need in that corner. You can then use the taped papers to determine the angle by placing a long ruler along the long side of the paper and marking the length measurements.
Place the cross laser in the middle of the wall
Make a cross in the middle of the board
Measure on the wall, between laser lines and wall ceiling floor, and transfer the measurements to the board
Cut the board
Or am I thinking wrong?
Make a cross in the middle of the board
Measure on the wall, between laser lines and wall ceiling floor, and transfer the measurements to the board
Cut the board
Or am I thinking wrong?