 | Edith Long, William Charles Brenke - 1916 - 292 páginas
...Corresponding altitudes 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... | |
 | Jacob William Albert Young, Lambert Lincoln Jackson - 1916 - 328 páginas
...triangles OHD and DEF 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... | |
 | John Charles Stone, James Franklin Millis - 1916 - 306 páginas
...^Z)Gf, Z 1)^= Z ^JE-G, ZF= Z ff. Def. congruence 11. .-.ZEDF=ZA,ZDEF=ZB,ZF=ZC. Ax. I 130. Theorem. — If two triangles have an angle of one equal to an angle of the other, and the including sides proportional, they are similar. C F Hypothesis. In A ABC and A DEF, ZC = ZF... | |
 | Fletcher Durell, Elmer Ellsworth Arnold - 1917 - 220 páginas
...309. If the corresponding sides of two triangles are proportional, the triangles are similar. 310. 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. 312. If two polygons... | |
 | Claude Irwin Palmer - 1918 - 192 páginas
...Theorem. If two 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... | |
 | Claude Irwin Palmer, Daniel Pomeroy Taylor - 1918 - 460 páginas
...ABAC^.APQC. What 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... | |
 | Herbert Edwin Hawkes, William Arthur Luby, Frank Charles Touton - 1920 - 328 páginas
...SnVvo C'G A'C' A'R , Jtll . /ON . EXERCISE 30. If two triangles have an angle of one supplementary to an angle of the other, they are to each other as the product of the sides including the angle of the first is to the product of the sides including the angle of the second. HINT. Place the... | |
 | Herbert Edwin Hawkes, William Arthur Luby, Frank Charles Touton - 1920 - 328 páginas
...sum of the other offsets and multiply the result by the distance between the offsets. Theorem S 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... | |
 | Arthur Sullivan Gale, Charles William Watkeys - 1920 - 464 páginas
...the angles of the one equal respectively to the angles of the other, the triangles are similar. (c) If two triangles have an angle of one equal to an angle of the other, and the including sides proportional, the triangles are similar. (d) If two triangles have their sides... | |
 | United States. Office of Education - 1921 - 1286 páginas
...similar if (a) they have two angles of one equal, respectively, to two angles of the other; (6) they have an angle of one equal to an angle of the other and the including sides are proportional; (c) their sides are respectively proportional. 14. If two... | |
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... they have an angle of one equal to an angle of the other and the including sides are proportional; (c) their sides are respectively proportional. 
