| Euclides - 1853
...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 each of the third... | |
| Euclides - 1853 - 147 sider
...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 angles... | |
| Sir James Kay-Shuttleworth - 1853 - 500 sider
...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... | |
| Royal Military Academy, Woolwich - 1853
...proportional DB is found. Which was to be done. PROPOSITION XIV. THEOR. Equal parallelograms which **have one angle of the one equal to one angle of the other,** have their sides about the equal angles reciprocally proportional : and parallelograms that have one... | |
| John Playfair - 1855 - 318 sider
...the remaining angle at E. Therefore th« triangle ABC is equiangular to the triangle DEF PROP. VII. **THEOR. If two triangles have one angle of the one...two other angles proportionals, then, if each of the** remainmg angles be either less, or not less, than a right angle, the triangles shaU 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, and shall have those angles equal... | |
| Euclides - 1855
...extremity of one of the 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 the same affection... | |
| Great Britain. Committee on Education - 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,... | |
| 1857
...lesson on the bent lever. BIGHEB MATHEMATICS AND MATHEMATICAL PHYSICS. SECOND YEAR. SECTION I. — 1. **If two triangles have one angle of the one equal to...of the other and the sides about two other angles** proportional ; then if each of the remaining angles be less or not less than a right angle, or if one... | |
| 1857
...a right angle ; and the angle in a segment less than a semicircle is greater than a right angle. 9. **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... | |
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