 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1901 - 396 pages
...PROPOSITION XX. THEOREM 605. TJie volumes of two triangular pyramids, that have a triedral angle of one equal to a triedral angle of the other, are to each other as the product of the three edges of these angles. Hyp. Fand V' are volumes of the triangular pyramids 0-ABC... | |
 | 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... | |
 | 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'... | |
 | 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... | |
 | 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... | |
 | Isaac Newton Failor - Geometry - 1906 - 440 pages
...theorems. 198 PROPOSITION VII. THEOREM 414 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. HYPOTHESIS. The & ABC and ADE have the ZA common. A ABC AB x AC CONCLUSION.... | |
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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. 
