Αναζήτηση Εικόνες Χάρτες Play YouTube Ειδήσεις Gmail Drive Περισσότερα »
Είσοδος
 Βιβλία Βιβλία 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 ... - Σελίδα 172
των Euclid, Rev. John Allen - 1822 - 494 σελίδες
Πλήρης προβολή - Σχετικά με αυτό το βιβλίο ## Plane and Solid Geometry

William Betz - 1916 - 507 σελίδες
...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 - 1916 - 276 σελίδες
...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 - 1916 - 312 σελίδες
...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 - 1916 - 278 σελίδες
...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 - 1918 - 211 σελίδες
...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 - 1918 - 457 σελίδες
...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 - 1918 - 177 σελίδες
...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 - 1918 - 436 σελίδες
...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... ## School Education, Τόμος 17

1898
...number of triangles, similar each to each and similarly placed. 10. Show that two triangles having an angle of one equal to an angle of the other, are to each other as the products of the sides, including the equal angles. PHYSIOLOGY-First Grade. L Illustrate the... ## Plane Geometry

Herbert Edwin Hawkes, William Arthur Luby, Frank Charles Touton - 1920 - 305 σελίδες
...offsets and multiply the result by the distance between the offsets. Theorem 5 325. If two triangles have an angle of one equal to an angle of the other, their areas are to each other as the product of the sides including the angle of the first is to the...