| 1851
...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 - Mathematics - 1851 - 173 pages
...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
...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... | |
| Education - 1852
...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... | |
| Rev. William R. Williams - 1852
...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 - Church and education - 1853 - 500 pages
...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 - Geometry - 1853
...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 - Geometry - 1853 - 147 pages
...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 - Mathematics - 1853
...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,... | |
| John Playfair - Geometry - 1855 - 318 pages
...parallelogram AB is equal (9. 5.) to the parallelogram BC. PROP. XV. THEOR. Equal triangles which have **one angle of the one equal to one angle of the other have their** sfdes about the equal angles reciprocally proportional; And triangles which have one angle in the one... | |
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