 | Bengal council of educ - 1848 - 394 σελίδες
...of the tests of the former. 2. Give a proof of the following proposition : " If two triangles have one angle of the one equal to one angle of the other, and the sides about two other angles proportionals ; then, if each of the remaining angles be either... | |
 | 1851 - 268 σελίδες
...the whole triangle and to one another. PAPERS FOE THE SCHOOLHASTEB. 2. Equal triangles, which have one angle of the one equal to one angle of the other, have their sides about their equal angles reciprocally proportional. .3. Equiangular paralellograms have to one another the... | |
 | Harvey Goodwin - 1851 - 196 σελίδες
...shall have to the second a greater ratio than the fifth has to the sixth. 8. Equal triangles which have one angle of the one equal to one angle of the other have the sides about the equal angles reciprocally proportional ; and conversely. 9. If two planes which... | |
 | 1852 - 316 σελίδες
...About a given circle, to describe i triangle equiangular to a given triangle. 3. If two triangles have one angle of the one equal to one angle of the other, and the sides about the equal angles proportionals the triangles shall be equiangular, and shall have... | |
 | 1852 - 512 σελίδες
...each side of it are similar to the whole triangle and to one another. 2. Equal triangles which have one angle of the one equal to one angle of the other, have their sides about their equal angles reciprocally proportional. 3. Equiangular paralellograras have to one another the... | |
 | 1852 - 1080 σελίδες
...A b : : A" E": A" F". Now it is demonstrated in treatises on geometry,* that if two triangles have one angle of the one equal to one angle of the other, and the sides about the equal angles proportionals, the triangles are equiangular, and consequently... | |
 | Sir James Kay-Shuttleworth - 1853 - 524 σελίδες
...each side of it are similar to the whole triangle and to one another. 2. Equal triangles which have one angle of the one equal to one angle of the other, have their sides about their equal angles reciprocally proportional. 3. Equiangular parallelograms hare to one another the... | |
 | Euclides - 1853 - 334 σελίδες
...the three angles DEF, EFD, FDE. "Which -was to be proved. PEOP. VI. THEOE. If two triangles have (1) one angle of the one equal to one angle of the other ; (2) the sides about this pair of angles proportional : then these two triangles shall be similar,... | |
 | Euclides - 1853 - 176 σελίδες
...the triangle def Wherefore, if the sides, &c. QED PROPOSITION VI. — THEOREM. If two triangles have one angle of the one equal to one angle of the other, and the sides about the equal angles proportionals, tJie triangles shall be equiangular, and shall... | |
 | Royal Military Academy, Woolwich - 1853 - 400 σελίδες
...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 about the equal angles reciprocally proportional, are equal to one another. Let AB,... | |
| |
IF two triangles have one angle of the one equal to one angle of the other, and the sides about the equal angles proportionals : the triangles shall be equiangular, and shall have those angles equal which are opposite to the homologous sides. 
