| John Playfair - Euclid's Elements - 1847 - 317 pages
...than a right angle ; which is absurd. Therefore the angles ABC, DEF are not unequal, that is, they are **equal : And the angle at A is equal to the angle at...triangle DEF. Next, let each of the angles at C, F** bo not less than a right angle ; the triangle ABC is also, in this case, equiangular to the triangle... | |
| Euclides, Thomas Tate - 1849 - 108 pages
...it: And the angle at A is half of the angle BGC, and the angle at D half of the angle EHF : Therefore **the angle at A is equal to the angle at D. Wherefore** in equal circles, &c. QED PROP. XXVIII. THEOR. In equal circles, equal straight lines cut off" equal... | |
| Royal Military Academy, Woolwich - Mathematics - 1853
...: And the angle at A is half of the angle BGC, and the angle at D half of the angle EHF ; therefore **the angle at A is equal to the angle at D. Wherefore,** in equal circles, etc. QED PROPOSITION XXVIII. THEOR. In equal circles, equal straight lines cut off"... | |
| Euclides - 1853
...angle at A is half of the angle BGC, and the angle at D half of the angle EHF; therefore (Ax. 7.) 4. **The angle at A is equal to the angle at D. Wherefore,** in equal circles, &c. QED PROP. XXVIII. THEOREM. In equal circles, equal straight lines cut off equal... | |
| Euclides - Geometry - 1853 - 147 pages
...it. And the angle at a is half of the angle bgС, and the angle at d half of the angle ehf: therefore **the angle at a is equal to the angle at d. Wherefore,** in equal circles, &c. QED PROPOSITION XXVIII. — THEOREM., In equal circles, equal straight lines... | |
| Euclides - 1855
...same manner it may be shown that the angle at E is not greater than the angle ABC; therefore they are **equal, and the angle at A is equal to the angle at...remaining angle at C is equal to the remaining angle at F** ; and the triangles ABC and DEF are equiangular, and therefore have the sides about the equal angles... | |
| John Playfair - Geometry - 1855 - 318 pages
...than a right angle; which is absurd. Therefore the angles ABC, DEF are not unequal, that is, they are **equal: And the angle at A is equal to the angle at...remaining angle at C is equal to the remaining angle** atF; Therefore the triangle ABC is equiangular to the triangle DEF. wherefore (4. 6.), AB : BG :: DE... | |
| Euclides - 1855
...equal to the angle D EF (I. Ax. 1). For the same reason, the angle A С B is equal to the angle D FE, **and the angle at A is equal to the angle at D.** Therefore the triangle AB С is equiangular to the triangle DE F. Wherefore, if the sides, &e. QED... | |
| John Playfair - Euclid's Elements - 1856 - 318 pages
...at A is equal to the angle at D ; wherefore the remaining angle at C is equal to the remaining anglo **at F ; Therefore the triangle ABC is equiangular to...triangle DEF. Next, let each of the angles at C, F be not** less than a right angle ; the triangle ABC is also, in this case, equiangular to the triangle DEF.... | |
| Euclides - 1860
...right angle, which is absurd ; therefore the angles ABC and DEF are not unequal ; that is, they are **equal ; and the angle at A is equal to the angle at...the triangle DEF. Next, let each of the angles at C** and F be given not less than a right angle ; to prove that the triangle ABC is also in this case equiangular... | |
| |