Universal Analysis of Equations

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PROBLEM X.

A circular diagram shows an inscribed trapezoid labeled ABCD, where line AD acts as the diameter of the circle.

Let ABCD be a trapezoid inscribed in a circle, of which one side is the Diameter of the circle = a. What is it?

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— bb Equation aaa — cc } a = 2 cbd — dd

or aaa — q a = r
In numbers aaa — 50 a = 120

g = 8 r + qg — ggg = + 8. ------------------- = + .05 = x 3gg — q = 142) + 8 00 ( 8. + .05 ----- g = 8.05

r + qg — ggg = + .839875
------------------------ = + .0058 = x
3gg — q = 144.4) + .839875 (

8.05 + .0058 ------- g = 8.0558

r + qg — ggg = + .00149889888
----------------------------- = + .000010359 = x
3gg — q = 144.6877) + .00149889888 (

8.0558 + .000010359 ------------ a = 8.055810359