 | Woolwich roy. military acad - 1884 - 148 pages
...circumscribing circle of the triangle CDE. 10. Equal triangles which have one angle of the one equal to one angle of the other, have their sides about the equal...reciprocally proportional ; and triangles which have one angle of the one equal to one angle of the other, and their sides about the equal angles reciprocally... | |
 | Evan Wilhelm Evans - Geometry - 1884 - 242 pages
...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 :... | |
 | Euclides - 1884 - 434 pages
...numbers. PROPOSITION 14. THEOREMS. Equal parallelograms, which have one angle of the one equal to one angle of the other, have their sides about the equal angles reciprocally proportional. Conversely ; Parallelograms which have one angle of the one equal to one angle of the other, and the... | |
 | University of Cambridge - 1884 - 624 pages
...the sides through the vertex. 9. Equal parallelograms, which have one angle of the one equal to one angle of the other, have their sides about the equal angles reciprocally proportional. WEDNESDAY, December 5, 1883. 12$ — 3. EUCLID. (B) 1. DRAW a straight line perpendicular to a given... | |
 | 1884 - 610 pages
...figure of ten sides in a given circle. 3. Equal triangles which have one angle of the one equal to one angle of the other have their sides about the equal angles reciprocally proportional. If one of the said sides in the one triangle be equal to one of the said sides in the other triangle... | |
 | Benjamin Franklin Finkel - Mathematics - 1888 - 518 pages
...5. Two polygons that are similar to a third polygon ale similar to each other. 6. If two triangles have an angle of the one equal to an angle of the other, their areas are to each other as the rectangles of the sides including those angles. 7. The ratio of... | |
 | George Albert Wentworth - Geometry - 1888 - 264 pages
...proportional, but the homologous angles are not equal. PROPOSITION VII. THEOREM. V 326. If two triangles have an angle of the one equal to an angle of the othcr, and the including sides proportional, they are similar. In the triangles ABC and A'B'C ' , let... | |
 | E. J. Brooksmith - Mathematics - 1889 - 356 pages
...that PQ_ is parallel to AC and BD. 10. Equal triangles, which have one angle of the one equal to one angle of the other, have their sides about the equal angles reciprocally proportional ; and, conversely, triangles which have one angle of the one equal to one angle of the other, and their sides... | |
 | New Brunswick. Board of Education - Education - 1889 - 1004 pages
...are to one another as their bases. 6. Equal triangles which have one angle of the one equal to one angle of the other, have their sides about 'the equal angles reciprocally proportional. NB — Female candidates will receive credit for any correct work on the last two of the foregoing... | |
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Equal parallelograms which have one angle of the one equal to one angle of the other, have their sides about the equal angles reciprocally proportional ; and parallelograms that have one angle of the one equal to one angle of the other, and their sides... 
