According to Wikipedia, Pathagoras of Samos was an ancient Greek Philosopher who lived from 570BC to 495 BC. Under Occupation, it lists Philosopher, Teacher and Mathematician……quite the trifecta!!! But this third occupation is the one that puts him squarely in the middle of a blog devoted to quilting!!!
Cast your mind back to my Color Wheel quilt that was started about this time last year. I dutifully appliqued all of the circles on and then things came to a grinding halt with studio renovation, tax season and, dare I say it, CORONA!!!!
This was the last post that I made about this quilt and it ended up with the idea of continuing the quilt by putting it on point and adding triangles to each corner. This was my final idea about how to proceed……
So today was the day to figure out what size the triangles would need to be and THAT is where Pathagoras comes in. As part of his discoveries, he found the Pathagorean Theorem, based on this diagram……
….which I don’t REALLY understand, but I did understand the formula where a and b equal to the sides of the triangle and c is the hypotenuse of the triangle……
Since I always loved Algebra, I was pretty sure that I could figure this out!!! Normally, I would have just used trial and error and then cut off any extra along the sides but this time I needed to have things a bit more precise.
The first thing that I did was to lay out the top as it stands right now and figure out exactly where the next border would be added on. I used my Laser Square Up to draw in some basic lines…..
And then measured to see how long each side would be. I found that the hypotenuse of the triangle was 59.5 so now I had to calculate the sides. I started with the formula and did the math…..
…finding that my square needed to be 42 inches. I then drew a 42 inch square on paper, divided it across the diagonal and, voila….it measured 59.5 inches…..
Since I am wanting to have circle made from the 4 triangle corners, I now needed to get the circle drafted. Since my triangle was only 1/2 of the square in the corner, I needed to complete the square to draft the circle. Of course, I had ALREADY cut the square apart and discarded the unused portion so I moved to the floor and “drew” out the other half of the square with painter’s tape……
….making sure that the diagonal was 59.5 inches.
The final set was to attach a pencil and cord that was the correct length……
….and draw the circle…..
These photos don’t look square but I promise that they are!!!
So, now I have a precise size template to use to cut the fabrics and can move on to the more exciting designing!!!
That is TOO much math for one day!!!
Let’s go do something else!!!