 | Yale University. Sheffield Scientific School - 1905 - 1074 pages
...corresponding altitudes have the same ratio as any two homologous sides. 3. To construct a rectangle equivalent to a given square and having the sum of its base and altitude equal to a given line. 4. The area of a regular polygon is equal to half the product of its apothem and perimeter. 5. The... | |
 | Education - 1910 - 920 pages
...secants give copious supplies of quadratics. "Construct a parallelogram equivalent to a given square, having the sum of its base and altitude equal to a given line," and its companion problem are comparatively unimportant as geometry. The only excuse for teaching them... | |
 | Education - 1910 - 994 pages
...secants give copious supplies of quadratics. "Construct a parallelogram equivalent to a given square, having the sum of its base and altitude equal to a given line," and its companion problem are comparatively unimportant as geometry. The only excuse for teaching them... | |
 | Edward Rutledge Robbins - Geometry, Plane - 1906 - 268 pages
...PROBLEM. To construct a parallelogram (or a rectangle) equivalent to a given square, and having : I. The sum of its base and altitude equal to a given line. II. The difference of its base and altitude equal to a given line. I . Given : Square S and line CD.... | |
 | Edward Rutledge Robbins - Geometry - 1907 - 428 pages
...PROBLEM. To construct a parallelogram (or a rectangle) equivalent to a given square, and having : I. The sum of its base and altitude equal to a given line. II. The difference of its base and altitude equal to a given line. BC C I. Given : Square S and line... | |
 | Webster Wells - Geometry, Plane - 1908 - 208 pages
.../OD AREAS OF POLYGONS PROP. XIV. PROBLEM 299. To construct a rectangle equivalent to a given square, having the sum of its base and altitude equal to a given line. /'" I B M, having the sum of AE Given square M, and line AB. Required to construct a rectangle its... | |
 | Webster Wells - Geometry - 1908 - 336 pages
...triangle. AREAS OF POLYGONS PROP. XIV. PROBLEM 299. To construct a rectangle equivalent to a given square, having the sum of its base and altitude equal to a given line. CD,- . M Jl AE Given square M, and line AB. Required to construct a rectangle =0= M, having the sum... | |
 | Grace Lawrence Edgett - Geometry - 1909 - 104 pages
...parallelogram. 7. To construct a square equivalent to a given polygon. 8. To construct a rectangle equivalent to a given square, and having the sum of its base and altitude equal to a given line. 9. To construct a rectangle equivalent to a given square, and having the difference of its base and... | |
 | William Herschel Bruce, Claude Carr Cody (Jr.) - Geometry, Modern - 1910 - 286 pages
...of a triangle, 21, 28, and 60 ft. Find the sides of the triangle. H Ex. 405. Construct a rectangle equivalent to a given square, and having the sum of its base and altitude equal to a given line. Let AB be side of given square, S, and CD the given line. Describe semicircle on CD. Draw CE ± CD and... | |
 | George Albert Wentworth, David Eugene Smith - Geometry, Plane - 1910 - 287 pages
...But P = AQ x QB, § 322 and S = CA*. § 320 .'. P= S, by Ax. 8. QBD » PROPOSITION XIX. PROBLEM 353. To construct a parallelogram equivalent to a given square, and having the difference of its base and altitude equal to a given line. ^ v ..B i ^—y rx N /"" 7 17 Given the... | |
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To construct a parallelogram equivalent to a given square, and having the sum of its base and altitude equal to a given line. 
