 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.  Essentials of Solid Geometry - Page 176by David Eugene Smith - 1924 - 238 pagesFull view - About this book
 | 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... | |
 | George Albert Wentworth - Geometry, Solid - 1902 - 246 pages
...PROPOSITION XXII. THEOREM. 658. The volumes of two triangular pyramids, having a trihedral angle of the one equal to a trihedral angle of the other, are to...products of the three edges of these trihedral angles. Let V and V denote the volumes of the two triangular pyramids S-ABC and S'-A'B'C', having the trihedral... | |
 | George Albert Wentworth - Geometry, Solid - 1902 - 248 pages
...bases by 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... | |
 | Massachusetts - 1902 - 1258 pages
...segment 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... | |
 | Alan Sanders - Geometry - 1903 - 396 pages
...bases 30 ft. and 12 ft. Find its volume. PROPOSITION XXI. THEOREM 976. Two triangular pyramids that have a trihedral angle of one equal to a trihedral angle of the otlier are to each other as tJie products of the edges including the equal angles. C Let the triangular... | |
 | Fletcher Durell - Geometry - 1911 - 553 pages
...COMPARISON OF POLYHEDRONS. SIMILAR POLYHEDRONS PROPOSITION XXVII. THEOREM 669. // two tetrahedrons have a trihedral angle of one equal to a trihedral angle of the other, they are to each other as the products of the edges including the equal trihedral angles. Given the... | |
 | Fletcher Durell - Geometry, Solid - 1904 - 232 pages
...COMPARISON OF POLYHEDRONS. SIMILAR POLYHEDRONS PROPOSITION XX VI I. THEOREM 669. // two tetrahedrons have a trihedral angle of one equal to a trihedral angle of the other, they are to each other as the products of the edges including the equal trihedral angles. Given the... | |
 | 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... | |
 | Yale University. Sheffield Scientific School - 1905 - 1074 pages
...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 to be the locus of a point satisfying a... | |
 | 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... | |
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