 | George Albert Wentworth - 1900 - 344 pages
...QED Ex. 354. The areas of two triangles which have an angle of the one supplementary to an angle of the other are to each other as the products of the sides including the supplementary angles. Let the A ABC and A'B'C' have the AA CB and A'C'B' supplements ,4 of each other.... | |
 | Alan Sanders - Geometry, Modern - 1901 - 260 pages
...sides is 7 in. What is the other parallel side? PROPOSITION VIII. THEOREM 613. Triangles that have an angle in one equal to an angle in the other, are to each other as the products of the including sides. B C Let To Prove &ABC and DEF have ZB = AABC AB . BC A DEF DE . EF Proof. Lay off... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1902 - 394 pages
...PROPOSITION XV. THEOREM 369. The areas of two triangles which have an angle of the one equal to an angle of the other are to each other as the products of the sides including the equal angles. D c A' D' Hyp. In triangles ABC and A'B'C', ZA = ZA'. To prove AABC = ABxAC. A A'B'C' A'B'xA'C' Proof.... | |
 | Arthur Schultze - 1901 - 260 pages
...PROPOSITION XV. THEOREM 369. The areas of two triangles which have an angle of the one equal to an angle of the other are to each other as the products of the sides including the equal angles. A D A' Hyp. In triangles ABC and A'B'C', To prove AABC A A'B'C' A'B' x A'C ' Proof. Draw the altitudes... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1901 - 394 pages
...PROPOSITION XV. THEOREM 369. The areas of two triangles which have an angle of the one equal to an angle of the other are to each other as the products of the sides including the equal angles. D A' £>' G' Hyp. In triangles ABC and A'B'C', To prove AABC = AB . ' A A'B'C' A'B'xA'C' Proof. Draw... | |
 | George Albert Wentworth - Geometry, Solid - 1902 - 246 pages
...their altitudes. 410. The areas of two triangles which have an angle of the one equal to an angle of the other are to each other as the products of the sides including the equal angles. 412. The areas of two similar polygons are to each other as the squares of any two homologous sides.... | |
 | Massachusetts - 1902 - 1258 pages
...is equal to the square of the tangent. 4. The triangles having 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. 5. A circle can be circumscribed about, or inscribed in, any regular polygon. PHYSICAL GEOGRAPHY. 1.... | |
 | Alan Sanders - Geometry - 1903 - 396 pages
...sides is 7 in. What is the other parallel side ? PROPOSITION VIII. THEOREM 613. Triangles that have an angle in one equal to an angle in the other, are to each other as the products of the including sides. B <f C Let To Prove A ABC and DEF have ZB = Z X. AABC AB • BC A DEF DE • EF Proof.... | |
 | George Albert Wentworth - Geometry - 1904 - 496 pages
...PROPOSITION VII. THEOREM. 410. The areas of two triangles which have an angle of the one equal to an angle of the other are to each other as the products of the sides including the equal angles. Let the triangles ABC and ADE have the common angle A. A ABC AB X AC To prove that Proof. Now A ADE... | |
 | Fletcher Durell - Geometry, Plane - 1904 - 382 pages
...THEOBEM 397. 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. A Given the A ABC and ADF having ZA in common/ _, A ABC ABXAC T°prOVe ~K~ADF'= ADXAF Proof. Draw the... | |
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The areas of two triangles which have an angle of the one equal to an angle of the other are to each other as the products of the sides including the equal angles. 
