 | William Henry Harrison Phillips - Geometry - 1878 - 236 pages
...3). ABE BE .. . ABC ABD The same is true of parallelograms. BE BF' VI. Theorem. If two triangles have an angle of the one equal to an angle of the other, the ratio of their areas is equal to that of the products of the sides which contain those angles.... | |
 | J. G - 1878 - 408 pages
...contained between the point and the parallels. 14. // two parallelograms are equal in area, and have an angle of the one equal to an angle of the other, then tfie sides which contain Vie angle of the first are the extremes of a proportion of which the... | |
 | James Maurice Wilson - 1878 - 450 pages
...have two adjacent sides of the one respectively equal to two adjacent sides of the other, and likewise an angle of the one equal to an angle of the other ; the parallelograms are identically equal. Part. En. Let A BCD, EFGH be two parallelograms which have... | |
 | James McDowell - 1878 - 310 pages
...form a rectangle, then shall the triangles be equiangular (VI. 5, 16) 54 81. If two triangles have an angle of the one equal to an angle of the other and the rectangle under the sides about the equal angles equal, a side of each triangle being taken... | |
 | 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 A... | |
 | William Frothingham Bradbury - Geometry - 1880 - 260 pages
...their third angles are both acute, or both obtuse, the triangles are similar. Compare I. 96 - 100. 116. Two triangles having an angle of the one equal to an angle in the other are to each other as the rectangles of the sides containing the equal angles ; or (Fig.... | |
 | George Albert Wentworth - Geometry, Modern - 1881 - 266 pages
...But . AE - EH '•= Wo'' A'B' ~ We'Hyp. Ax. 1 Since AE = A' B', Cons. PROPOSITION VI. THEOREM. 284. Two triangles having an angle of the one equal to an angle of the other, and the including sides proportional, are similar. A A' In the triangles ABC and A' B' C' let -. A'B'... | |
 | District of Columbia. Board of Education - Education - 1881 - 314 pages
...plant analysis. TENTH GRADE. MAY itf. GEOMETRY AND TRIGONOMETRY. (Twenty credits.) 1. Theorem: — Two triangles having an angle of the one equal to an angle of the other, and the sides including these angles proportional, are similar. 2. If from the diagonal BD of a square... | |
 | George Albert Wentworth - Geometry, Modern - 1879 - 262 pages
...the squares on the diagonals. PEOPOSITION XIII. THEOREM. 341. Two triangles having an angle of ihe one equal to an angle of the other are to each other as the products of 1 fie sides including the egtial angles. Let the triangles ABC and AD E have the common angle A.... | |
 | Franklin Ibach - Geometry - 1882 - 208 pages
...AD or AC* : ~B(? :: AD : BD. THEOREM XXIV. 284. Two triangles having an angle in each the same are to each other as the products of the sides including the equal angles. In the As ABC and DEC let the angle c be common. 0 To prove that A ABC : A DEC :: CA X CB : CD X CE.... | |
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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. 
