 | J. G - 1878 - 408 pagina’s
...secant 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... | |
 | Āryabhaṭa - 1878 - 100 pagina’s
...about th« equal angles, reciprocally proportional. And conversely triangles and parallelograms having an angle of the one equal to an angle of the other and their sides about the equal angles reciprocally proportional, are equal to one another. First,... | |
 | James Maurice Wilson - 1878 - 450 pagina’s
...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... | |
 | William Frothingham Bradbury - 1880 - 260 pagina’s
...we have AB:AG — AC:AH But by hypothesis AB : D F.= AC : DF THEOREM XXIV. 60i Two triangles having an angle of the one equal to an angle of the other, and the sides including these angles proportional, are similar. In the triangles ABC, DBF let the angle... | |
 | District of Columbia. Board of Education - 1881 - 314 pagina’s
...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 - 1881 - 266 pagina’s
...squares on the diagonals. GEOMETRY. — BOOK IV. PROPOSITION XIII. THEOREM. 3-41. Two triangles having an angle of the one equal to an angle of the other are to each other an the products of the sides including the equal angles. Let the triangles ABC and... | |
 | Great Britain. Education Department. Department of Science and Art - 1882 - 510 pagina’s
...same subject. The values attached to the questions differ little from one another. 1. Prove that two triangles, which have an angle of the one equal to an angle of the other, and the sides including the equal angles proportional, are similar. A diagonal of a parallelogram is... | |
 | Mathematical association - 1883 - 86 pagina’s
...two adjoining sides of the one respectively equal to two adjoining sides of the other, and likewise an angle of the one equal to an angle of the other; the parallelograms are identically equal. [By Superposition.] COR. Two rectangles are equal, if two... | |
 | Evan Wilhelm Evans - 1884 - 242 pagina’s
...equal to SB. Draw AO parallel to BC. ANC = ACN = CAO. ANC = CBA + BAN. Complete the proof. 24. 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 in- _ eluding the equal angles. See Theo. VII. BAC :... | |
 | Association for the improvement of geometrical teaching - 1884 - 150 pagina’s
...two adjoining sides of the one respectively equal to two adjoining' sides of the other, and likewise an angle of the one equal to an angle of the other ; the parallelograms are identically equal. Let ABCD, EFGH be two parallelograms having the angle ABC... | |
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Assuming that 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... 
