Elementary And Constructional Geometry

Cover Elementary And Constructional Geometry
Elementary And Constructional Geometry
Edgar H Edgar Hamilton Nichols
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In. ; explain your steps ; measure the resulting lines ; and compare the answers with those obtained in 506.
611. Can you draw a line that shall represent the V f sq. In. ; V { sq. In. ; V i sq. In. (See 454. ) In actu- ally doing this work, it is better to draw to scale, taking a line much longer than an inch to represent the side of the square inch.
512. On a line mark off lengths equal to V I sq. Dm. , V 2 sq. Dm. , V 3 sq. Dm. , etc. , up to V 10 sq. Din". _ 518* On a line mark off lengths
...equal to V J sq. Dm. , V I sq. Dm. , V } sq. Dm. , etc. , up to V ^ sq. Dnf.
514. With the scales you have just made in 512 and 513, and with the aid of what you know about adding and sub- tracting squares, you can find the square root of a great many surfaces with great rapidity. Use the scales in fiml- : \ 1 V 24 sq. Dm. ; V 5J sq. Dm. ; V 2J sq. Dm. ; V^aq. Dm. 515. In articles 501-505 you saw how to find the side of a square from its surface. The ability to do this adds greatly to the practical value of the Pythagorean principle that the square on the hypotenuse of a right triangle con- tains as much surface as the squares on the two legs.


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