 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.  The Eclectic School Geometry - Side 87av Evan Wilhelm Evans - 1884 - 149 siderUten tilgangsbegrensning - Om denne boken
 | George Clinton Whitlock - 1848 - 340 sider
...(147) with (148).] Of PROPOSITION III. Two triangles, having an angle of the one equal to an (159) angle of the other, are to each other as the products of the sides about the equal angles. Let the equal apgles of the triangles A, B, be made vertical, and join... | |
 | E. M. Reynolds - 1868 - 172 sider
...A'B'C'. Relation of Areas of Figures. THEOREM VI. Triangles which have one angle of the one equal to one angle of the other, are to each other as the products of the sides containing the equal angle. Let the triangles ABC, A'BC' have equal angles at B. Then shall ABC... | |
 | Trinity College (Hartford, Conn.) - 1870 - 1008 sider
...similar when they are mutually equiangular. 4. 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. 5. What is the length of the side of a regular decagon inscribed... | |
 | William Chauvenet - 1871 - 380 sider
...BOOK IV. THEOREMS. 219. Two triangles which have an angle of the one equal to the supplement of an angle of the other are to each other as the products of the sides including the supplementary angles. (IV. 22.) 220. Prove, geometrically, that the square described... | |
 | William Chauvenet - 1872 - 382 sider
...BOOK IV. THEOREMS. 219. Two triangles which have an angle of the one equal to the supplement of an angle of the other are to each other as the products of the sides including the supplementary angles. (IV. 22. ) 220. Prove, geometrically, that the square described... | |
 | David Munn - 1873 - 160 sider
...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... | |
 | 1876 - 646 sider
...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... | |
 | William Chauvenet - 1877 - 396 sider
...taken within it. \\ PROPOSITION XX.— THEOREM. 57. Two tetraedrons which have a triedral angle of tlie one equal to a triedral angle of the other, are to...other as the products of the three edges of the equal triedral angles. Let ABCD, AB'C'D', be the given tetraedrons, placed with their equal triedral angles... | |
 | William Frothingham Bradbury - 1877 - 262 sider
...the other, and the faces including these angles are respectively similar. 112. Two tetraedrons having a triedral angle of the one equal to a triedral angle...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 - 1877 - 436 sider
...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, D'-AB'C', having... | |
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