| Bengal council of educ - 1848 - 396 pages
...definition will satisfy one 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... | |
| Bengal (India) - 1848 - 520 pages
...definition will satisfy one 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... | |
| Euclides - 1848 - 52 pages
...equiangular, and shall have those angles equal which are opposite to the homologous sides. PROP. VII. THEOREM. **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... | |
| 1852
...to one another. 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,... | |
| Baptists - 1852
...: A b,. that is, 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,... | |
| Royal Military Academy, Woolwich - Mathematics - 1853
...ABC is equiangular to the triangle DEF. Wherefore, if two triangles, etc. QED PROPOSITION VII. THEOR. **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... | |
| Euclides - Geometry - 1853 - 147 pages
...equiangular to the triangle def Wherefore, if two triangles, &c. QED PROPOSITION VII. — THEOREM. **If two triangles have one angle of the one equal to one** angle of tJie other, and the sides about two other angles proportionals, then if each of tlie remaining... | |
| Euclides - Geometry - 1853 - 334 pages
...hence AB is to BC as DE to EF, and BC to CA as EF to FD. . Which was to be proved. PEOP. VII. THEOE. **If two triangles have (!•) one angle of the one equal to one** angle of the other ; (2) the sides about one of the other two pairs of angles proportionals ; and if... | |
| Great Britain. Committee on Education - School buildings - 1855
...; the segments of the base shall have the same ratio which the other sides of the triangle have. 2. **If two triangles have one angle of the one equal to one** angh of the other, and the sides about the equal angles proportionals, the triangles shall be equiangular,... | |
| 1855
...the segments of 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,... | |
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