 | Euclides - 1881 - 236 σελίδες
...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 - 1883 - 428 σελίδες
...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 σελίδες
...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 σελίδες
...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 σελίδες
...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 σελίδες
...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 - 1889 - 356 σελίδες
...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 - 1889 - 1004 σελίδες
...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 - 1890 - 442 σελίδες
...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... 
