| Euclid, John Playfair - Euclid's Elements - 1826 - 320 pages
...aright angle; whieh is absurd. Therefore the angles ABC, D .:iF are not unequal, that is, they are **equal : And the angle at A is equal to the angle at...the remaining angle at C is equal to the remaining** (Ingle atF: Therefore the triangle ABC is equiangular to the triangle DEF. Next, let eaeh of the angles... | |
| Euclides - 1826
...unequal to the angle DEF, that is, it is equal. But the angle at A is equal to the angle at o, therefore **the remaining angle at c is equal to the remaining angle at F** ; hence the triangle ABC is equiangular to the triangle DEF. If, therefore, two triangles, Scc. QED... | |
| Robert Simson - Trigonometry - 1827 - 513 pages
...angles ABC, DEF are not unequal, that is, they are equal : and the angle at A is equal f to the t Hyp. **angle at D ; wherefore the remaining angle at C is...equal -)- to the remaining angle at F: therefore the** ^32.t.& triangle ABC is equiangular to the triangle DEF. 3 Ax. Next, let each of the angles at C, F... | |
| Robert Simson - Trigonometry - 1835 - 513 pages
...the angles ABC, Book vI. DEF are not unequal, that is, they are equal ; and the angle v•— v™-' **at A is equal to the angle at D ; wherefore the remaining...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. The... | |
| Euclid - 1835 - 513 pages
...to it : and the angle at A is half the angle BGC, and the angle at D half 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... | |
| John Playfair - Euclid's Elements - 1836 - 471 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 D** ; wnerefore the remaining angle at C is equal to the remaining angle at F : Therefore the triangle... | |
| John Playfair - Geometry - 1836 - 114 pages
...: 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. XIX. THEOR. In equal circles, equal straight lines cut off equal circumferences,... | |
| George Darley - Euclid's Elements - 1836 - 128 pages
...equal to DE. Then, if GC were drawn, the sides AG, AC would be respectively equal to the sides DE, DF; **and the angle at A is equal to the angle at D.** Therefore, on this supposition, the angle GCA would be equal to EFD by ART. Ji; and consequently to... | |
| John Playfair - Geometry - 1837 - 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...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.... | |
| Andrew Bell - Euclid's Elements - 1837 - 240 pages
...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...therefore the triangle ABC is equiangular to the triangle** DEP. Next, let each of the angles at O, F, be not less than a right angle ; the triangle ABC is also... | |
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