I discovered the Delian Solution long before the master plate of 1999. I kept working on it because I wanted to figure out every thing about the ellipse which does the job. I wanted major and minor axis, and all that. That is what took so long. So, I decided to parse all that out and show it step by step in the next essay I do. Everything is given in the simple I was working with, I just had to figure out how it fit into the big version of the problem. There are connections which had to be discovered step by step. And since the Chernobyl Virus hit my computer thanks to my sister who took it to a game site, I had to recall every step from memory. It was not on back up. That added to the delay in what I now have.
At that time, I was doing the drawing from right to left. After I developed the geometric grammar for all mathematics, I had to change it to left to right.
In terms of computing power, about any computer can do the math geometrically, however, the algebraic steps to reduce the equations to the simple algebraic expression were beyond the computing power of pc's then, and are still beyond it now. Just too much is involved. This requires a piecemeal approach. Our pcs can do each step, it is the reduction to the simple expression which it cannot yet do. That is why we have multiple systems of grammar, we use logic and analogic, and is often called a heuristic approach.
The Delian Solution
Step One
I used the Delian Solution Figure to construct, to write the Algebra which makes the figure an expression of y/z.
The next step I will use the resulting equations for any point d, duplicate that ratio, making a triplicate ratio series, or a cubic series with it, which can now be projected to the same line without the geometric figure.
Just for fun, but it also proves the Delian Solution also.
The ratio 1 to 5 gives 3, 9, 27.
The ratio 8 to 5 gives .5, .25, .125.
The ratio, is produced from the perpendicular of the point on the circumference which makes the root series of the geometric figure. So, you want whole number results, whole number series, the ratio has to be expressed in whole numbers.
The next step I will use the resulting equations for any point d, duplicate that ratio, making a triplicate ratio series, or a cubic series with it, which can now be projected to the same line without the geometric figure.
Just for fun, but it also proves the Delian Solution also.
The ratio 1 to 5 gives 3, 9, 27.
The ratio 8 to 5 gives .5, .25, .125.
The ratio, is produced from the perpendicular of the point on the circumference which makes the root series of the geometric figure. So, you want whole number results, whole number series, the ratio has to be expressed in whole numbers.
Re: The Delian Solution
Step two is done, I did the Sketchpad having the algebra place the vertex. Now, I going to play with the latest version of Inkscape. See if I can get the mathcad into Word as an svg.
Re: The Delian Solution
Installed the latest Inkscape, and the svg and the finished Word doc, printed flawlessly to pdf.