| College Entrance Examination Board - Mathematics - 1915 - 60 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 - 277 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 - 309 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 - 277 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 - 264 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 - 278 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 - 467 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 E. WEBB - 1916
...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... | |
| John Charles Stone, James Franklin Millis - Geometry, Solid - 1916 - 174 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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