| 1851 - 268 pages
...side of it are 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... | |
| Harvey Goodwin - Mathematics - 1851 - 196 pages
...sixth, the 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 - 316 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 - 522 pages
...base, the triangles on each side of it arc 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... | |
| Euclides - Geometry - 1853 - 176 pages
...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,... | |
| 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... | |
| Euclides - Geometry - 1853 - 334 pages
...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... | |
| 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... | |
| Euclides - 1855 - 270 pages
...parallels passes through the extremities of all the parallels. PROP VII. THEOREM. If two triangles **have one angle of the one equal to one angle of the other,** and the sides about another angle in each, proportionals ; and if the remaining angle in each be of... | |
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