Books Books If two triangles have an angle of one equal to an angle of the other... Euclid's Elements of Geometry: The Six First Books. To which are Added ... - Page 172
by Euclid, Rev. John Allen - 1822 - 494 pages Plane and Solid Geometry

William Betz - Geometry - 1916 - 507 pages
...successively 54, 68, 72, 72, 60, 44, 36, 28, and 20, measurements being in centimeters. 337. If two triangles have an angle of one equal to an angle of the other, their areas are to each other as the products of the sides including the equal angles. Given two triangles... Plane Geometry

Edith Long, William Charles Brenke - Geometry, Plane - 1916 - 276 pages
...of similar triangles are proportional to any two corresponding sides. Theorem XVI. If two triangles have an angle of one equal to an angle of the other, and the including sides proportional, the triangles are similar. Theorem XVII. If two triangles have... Plane Geometry

Jacob William Albert Young, Lambert Lincoln Jackson - Geometry, Plane - 1916 - 312 pages
...are siruilar. Hence, show that DG . DE = DH • DF. PROPOSITION XIII. THEOREM 316. If two triangles have an angle of one equal to an angle of the other and the sides including these angles proportional, the triangles are similar. A 3 A' . O' Given A ABC... Plane Geometry

John Charles Stone, James Franklin Millis - Geometry - 1916 - 278 pages
...DExDF~lDE DF AB AC 5. DE DF AABC =AB A DEF DE* DE' Def. sim. A Ax. XII EXERCISES 1. Two triangles that have an angle of one equal to an angle of the other, have the sides including the equal angles 4 in. and 9 in. and 12 in. and 5 in., respectively. Compare... Solid Geometry Developed by the Syllabus Method

Eugene Randolph Smith - Geometry, Solid - 1918 - 211 pages
...equal to, or less than, the opposite angle of the other, and conversely. (6) Areas of triangles having an angle of one equal to an angle of the other are to each other as the products of the including sides. B. PLANE GEOMETRY PROPOSITIONS THAT CAN BE USED IN SOLID GEOMETRY... Schultze and Sevenoak's Plane and Solid Geometry

Arthur Schultze, Frank Louis Sevenoak - Geometry - 1918 - 457 pages
...given squares. PROPOSITION XIII. THEOREM 378. The areas of two triangles which have an angle of the one equal to an angle of the other are to each other as the products of the sides including the equal angles. Given A ABC and A'B'C', Z. A = Z A'. To prove... Solid Geometry

Claude Irwin Palmer - Geometry, Solid - 1918 - 177 pages
...triangles have their corresponding sides proportional, they are similar. § 431. Theorem. If two triangles have an angle of one equal to an angle of the other and the including sides proportional, they are similar. . § 432. Theorem. The areas of two similar... Plane and Solid Geometry

Claude Irwin Palmer, Daniel Pomeroy Taylor - Geometry - 1918 - 436 pages
...measurements are necessan ? §422 §428 Given Whv? §400 §27 § HI 431. Theorem. // two triangles have an angle of one equal to an angle of the other and the including sides proportional, they are similar. Given A ABC and EKH having Zx = ,AB AC and... 