| 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 - 426 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 - 354 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 - 1006 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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