 | Claude Irwin Palmer, Daniel Pomeroy Taylor - 1915 - 336 σελίδες
...1 minute. 60 minutes = 1 degree. 60" 60' = 1'. = 1°. 28. Experiment. The two triangles ABC and GHK have an angle of one equal to an angle of the other. Are these two triangles equal? FIG. 3 The two triangles ABC and DEF have the three angles of one equal... | |
 | Edward Rutledge Robbins - 1915 - 282 σελίδες
...= ZB (67). .-. A AMN is similar to A ABC (303). QED PROPOSITION XXII. THEOREM 306. 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. D / \ BCEF Given : A... | |
 | John Charles Stone, James Franklin Millis - 1916 - 298 σελίδες
...drawing, is given in books on engineering. Prove this formula. 228. Theorem. — 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 those angles. M B D Hypothesis. Conclusion. In AABCand ADEF,... | |
 | Webster Wells, Walter Wilson Hart - 1916 - 490 σελίδες
...the squares of their perimeters. AREAS OF POLYGONS PROPOSITION XII. THEOREM 346. 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 these angles. Hypothesis. A ABC and A AB'C' have ZA common.... | |
 | William Betz, Harrison Emmett Webb - 1916 - 214 σελίδες
...one equal respectively to the angles of the other, the triangles are similar. 386. If two triangles have an angle of one equal to an angle of the other, and the including sides proportional, the triangles are similar. 391. The homologous altitudes of two... | |
 | Edith Long, William Charles Brenke - 1916 - 292 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... | |
 | John Charles Stone, James Franklin Millis - 1916 - 196 σελίδες
...triangles have their corresponding sides proportional, the triangles are similar. § 130. If two triangles have an angle of one equal to an angle of the other, and the including sides proportional, they are similar. § 146. The sum of any two sides of a triangle... | |
 | William Betz - 1916 - 536 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... | |
 | Edith Long, William Charles Brenke - 1916 - 292 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... | |
 | Jacob William Albert Young, Lambert Lincoln Jackson - 1916 - 328 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... | |
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If two triangles have an angle of one equal to an angle of the other... 
