 | Euclides - Euclid's Elements - 1881 - 236 pages
...reciprocally proportional, they are equiangular. PROP. XV. THEOREM. triangles which have an angle of the one equal to an angle of the other, have their sides about the eqnal anglet reciprocally proportional; and convernely, triangles which have an angle in the one equal... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1883 - 428 pages
...found. QEF PROPOSITION 14. THEOREM. 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 which have one angle of the one equal to one angle of the other, and their sides about... | |
 | 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 angles 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... | |
 | 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... | |
 | 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... | |
 | 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... | |
 | Euclid - Geometry - 1890 - 442 pages
...Proposition 15. THEOREMS — (a) Triangles of equal area which have one angle of the one equal to one angle of the other, have their sides about the equal angles reciprocally proportional : (/3) and conversely, if two triangles have an angle of the one equal to an angle of the other, and... | |
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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... 
