| Fletcher Durell - Geometry, Solid - 1904 - 232 pages
...326. // two triangles have their homologous sides proportional they are similar. 327. // two triangles **have an angle of one equal to an angle of the other,** and the including sides proportional, the triangles are similar. 328. // two triangles have their sides... | |
| Fletcher Durell - Geometry - 1911 - 553 pages
...8. (/or its equal A AFH is similar to A ABC). QED PROPOSITION XVII. THEOREM 327. 7/ jfwo triangles **have an angle of one equal to an angle of the other,** and the including sides proportional, the triangles are similar. A Given the A ABC and A'B'C', in which... | |
| Yale University. Sheffield Scientific School - 1905 - 1074 pages
...hypotenuse of a similar triangle is 1o in. What is the area of the second triangle? 6. 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 sides including the equal angles. 7. When is a circle said... | |
| Education - 1922 - 948 pages
...and C; draw OD J.AC; since <B = <AOD, \ve may apply to AsABC and AOD the theorem: If two triangles **have an angle of one equal to an angle of the other,** the ratio of their areas equals the ratio of the products of the sides including this angle. Hence... | |
| Walter Nelson Bush, John Bernard Clarke - Geometry - 1905 - 378 pages
...proportional between their diameters. XVI. GROUP ON AREAL RATIOS PROPOSITIONS XVI. 1. If two triangles **have an angle of one equal to an angle of the other,** they are to each other as the rectangles of the sides respectively including the equal angles. A c... | |
| George Clinton Shutts - 1905 - 260 pages
...circumferences are parallel. Prove AD parallel to B C. PROPOSITION XIX. 303. Theorem. // two triangles **have an angle of one equal to an angle of the other,** and the sides including the equal angles proportional, the triangles are similar. A A' In the triangles... | |
| David Sands Wright - Geometry - 1906 - 104 pages
...similar if — 1. They are mutually equiangular. 2. Their homologous sides are proportional. 3. They **have an angle of one equal to an angle of the other,** and the sides including the equal angles are proportional. 4. The homologous sides are parallel. 5.... | |
| Edward Rutledge Robbins - Geometry, Plane - 1906 - 268 pages
...AMN — ZB ; Z ANM = ZC (?) (98). .-. A are similar (?) (313). QED B C 317. THEOREM. 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. BCE r Given : A ABC and... | |
| Edward Rutledge Robbins - Geometry - 1907 - 428 pages
...AMN = ZB; Z ANM = ZC (?) (98). ... A are similar (?) (313). QED B C 317. THEOREM. 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 BCE Given : A ABC and... | |
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