| 1851 - 268 pages
...similar to 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 - 196 pages
...first 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 - 314 pages
...2. 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... | |
| Baptists - 1852 - 1080 pages
...A c : 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 - 554 pages
...triangles on 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 have to one another the... | |
| Euclides - Geometry - 1853 - 334 pages
...straight lines A, B has been found a mean proportional HE. Which was to be done. PEOP. XIV. THEOE. If two **parallelograms, which have one angle of the one equal to one angle of** tie other, be equal : then they shall have their sides about this pair of equal angles reciprocally... | |
| Royal Military Academy, Woolwich - Mathematics - 1853 - 400 pages
...equiangular to the triangle DEF. Wherefore, if the sides, etc. QED PROPOSITION VI. THEOR. 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... | |
| William Somerville Orr - Science - 1854 - 532 pages
...PROPOSITION XV.— THEOKBM. Equal triangles (ABC, ADE), which have an angle (A) of the one equal to au **angle of the other, have their sides about the equal angles reciprocally proportional ; and** triangles which have an angle of the one equal to an angle of the other, and their sides about those... | |
| John Playfair - Geometry - 1855 - 334 pages
...wherefore the 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... | |
| 1855 - 264 pages
...the hase shall have the same ratio which the other sides of thi; triangle have. 2. 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 bhall be equiangular, and shall have... | |
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