 | College Entrance Examination Board - Mathematics - 1915 - 72 pages
...locus. Find the locus of the center of a circle passing through two given points. 3. The areas of two triangles which have an angle of one equal to an angle of the other are to each other as the products of the side including those angles. 4. Construct a triangle ABC; given AB=2 in., angle... | |
 | Claude Irwin Palmer, Daniel Pomeroy Taylor - Geometry, Plane - 1915 - 320 pages
...in the figure. Find the area of the cross section in square feet. 375. Theorem. Two triangles that have 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. s Given AABC and ADEF with ZC = ZF. _, AABC... | |
 | Webster Wells, Walter Wilson Hart - Geometry, Plane - 1915 - 330 pages
...the same ratio as the squares of their perimeters. PROPOSITION XII. THEOREM 346. Two triangles having an angle of one equal to an angle of the other are to each other as the jproducts of the sides including these angles. Hypothesis. A ABC and A AB'C' have ZA common.... | |
 | Claude Irwin Palmer, Daniel Pomeroy Taylor - Geometry, Plane - 1915 - 336 pages
...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 - Geometry, Plane - 1915 - 282 pages
...= 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 - Geometry - 1916 - 298 pages
...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 - Geometry - 1916 - 490 pages
...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 - Geometry, Solid - 1916 - 214 pages
...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 - Geometry, Modern - 1916 - 292 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... | |
 | John Charles Stone, James Franklin Millis - Geometry, Solid - 1916 - 196 pages
...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... | |
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If two triangles have an angle of one equal to an angle of the other... 
