Great challenge Acorn. I learned from this one. Here is a comparison of my eyeballed one to your correct one.
Attachment 122692
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Great challenge Acorn. I learned from this one. Here is a comparison of my eyeballed one to your correct one.
Attachment 122692
Larry, thank you for your approach.
I have been trying to avoid math / maths and approximations but as an engineer myself, I appreciate there is always another way.
Unfortunately, your sums have gone awry as the final rectangle has a side ratio of 1.79::1. We need 1.618::1.
Earlier, handrawn suggested 1.6::1 was good enough.
A similar construction to your could map out a ratio of 1.6.
Thereafter just increase the width by 1% to achieve 1.616::1, accurate to 0.1%.
Attachment 122694
My Yellow/Cyan blobs are a 3/5th scaled ruler.
Acorn
Here there is another way...
Attachment 122695
Marco, it is that.
Same construction really as Attachment 122666 where I dropped the Blue GR down out of the way and I used one Red square to your two ((1) & (2)). Both have the same underlying math / maths.
The point of these challenges is to discover Xara constructs that are useful to you.
Acorn
While drawing the circle (radius creation option) you can snap from the corner of the first to the corner of the second rectangle.
I thought that the problem in your construction was finding the center of the base of the square, but I now seen that you can easely snap there too, so it was already ok that way... ;)
Marco.
If you draw the circle and then you move it, you can snap the center of the circle with the center of the square base. After that (selecting the circle tool and holding the shift key) you can resize the circle to hit the square corner. That done, the only thing to do is to resize the square clicking on the right side handle until you reach the snap point at the circle.
Marco.