 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
 | David Munn - 1873 - 160 pages
...To find the area of any polygon 43 EXERCISES (4) 44 VIII. 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 47 IX. The areas of similar triangles are to each other as the squares of their like... | |
 | William Chauvenet - Geometry - 1875 - 466 pages
...GEOMETRY.—BOOK IV. THEOREMS. 219. Two triangles which have an angle of the one equal to the supplo mcnt of an angle of the other are to each other as the products of the siiitM including the supplementary angles. (IV. 22.) 220. Prove, geometrically, that the square described... | |
 | 1876 - 646 pages
...two triangles are similar when they are mutually equiangular. 2. Two triangles having 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. 3. To inscribe A circle in a given triangle. 4. The side of a regular inscribed hexagon... | |
 | George Albert Wentworth - Geometry - 1877 - 416 pages
...^V + 4 4 QED GEOMETRY. BOOK IV. PROPOSITION XIII. THEOREM. 341. Two triangles having 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 AD E have the common angle A. We are to prove Draw B E.... | |
 | George Albert Wentworth - Geometry - 1877 - 416 pages
...SD* + 4 QED GEOMETRY. BOOK IV. PROPOSITION XIII. THEOREM. 341. Two triangles having an angle of the one equal to an angle of the other are to each other as the products cf t he sides including the equal angles. Let the triangles ABC and ADE have the common angle A. We... | |
 | George Albert Wentworth - Geometry - 1877 - 436 pages
...PROPOSITION XIX. THEOREM. 577. Two tetrahedrons 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 oî the two tetrahedrons D-ABC,... | |
 | William Frothingham Bradbury - Geometry - 1877 - 262 pages
...are respectively similar. 112. Two tetraedrons having a triedral angle of the one equal to a triedral angle of the other are to each other as the products of the edges of the equal triedral angles. (70 ; II. 116, 55.) 113. State and prove the converse of Theorem... | |
 | George Albert Wentworth - Geometry - 1877 - 416 pages
...4 ^ QED GEOMETRY. — BOOK IV. PROPOSITION XIII. THEOREM. 341. Two triangles having an angle of the one equal to an angle of the other are to each other as tAe products of the sides including the equal angles. D. Let the triangles ABC and ADE have the common... | |
 | George Albert Wentworth - 1879 - 196 pages
...PAGE 217. Ex. i. Show that two triangles which have an angle of the one equal to the supplement of the angle of the other are to each other as the products of the sides including the supplementary angles. Let A ABC and CDE have AACB and DCE supplements of each other. Place these... | |
 | William Frothingham Bradbury - Geometry - 1880 - 260 pages
...are respectively similar. 112. Two tetraedrons having a triedral angle of the one equal to a triedral angle of the other are to each other as the products of the edges of the equal triedral angles. (70 ; II. 116, 55.) 113i State and prove the converse of Theorem... | |
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