 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. B' ADC A' D' C' Hyp. In triangles ABC and A'B'C', ZA = ZA'. To prove = — • A A'B'C'...  Solid Geometry - Page 446by John Charles Stone, James Franklin Millis - 1916 - 174 pagesFull view - About this book
 | George Albert Wentworth - 1900 - 344 pages
...quadrilateral ABCE. 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... | |
 | Arthur Schultze - 1901 - 392 pages
...three given squares. 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. B' ADC A' D' C' Hyp. In triangles ABC and A'B'C', ZA = ZA'. To prove = — • A... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1901 - 396 pages
...three given squares. PROPOSITION XV. THEOREM 369. H4e 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' D. G' Hyp. In triangles ABC and A'B'C', ZA To prove *ABC = ABxAC. A A'B'C' A'B'xA'C'... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1902 - 394 pages
...three given squares. 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'... | |
 | Arthur Schultze - 1901 - 260 pages
...three given squares. 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 B' A' D' Hyp. In triangles ABC and A'B'C', ZA •. To prove AABC = ABxAC. A A'B'C'... | |
 | Massachusetts - 1902 - 1258 pages
...product of the whole secant and its external segment is equal to the square of the tangent. 4. The triangles having an angle of one equal to an angle...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... | |
 | George Albert Wentworth - Geometry, Solid - 1902 - 248 pages
...658. The volumes of two triangular pyramids, having a trihedral angle of the one equal to a trihedral angle of the other, are to each other as the products of the three edges of these trihedral angles. Let V and V denote the volumes of the two triangular pyramids... | |
 | George Albert Wentworth - Geometry - 1904 - 496 pages
...658. The volumes of two triangular pyramids, having a trihedral angle of the one equal to a trihedral angle of the other, are to each other as the products of the three edges of these trihedral angles. Let V and V denote the volumes of the two triangular pyramids... | |
 | Education - 1921 - 970 pages
...Wendell Phillips HS, Chicago using the theorem: two triangles having an angle "f one equal to an agle of the other are to each other as the products of the sides including the equal angles; and by .\'. Anning, Ann Arbor. Mich., using BD/DC = ABDA/AADO = ABDO/AODC = ABOA/... | |
 | Yale University. Sheffield Scientific School - 1905 - 1074 pages
...from two intersecting lines. 4. Two tetraedrons which haVe a tricdral angle of one equal to a triedral angle of the other are to each other as the products of the three edges about the equal triedral angles. 5. Find the volume of a regular tetraedron whose edge... | |
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