| Euclides - 1838
...at A is equalt to the angle at D : wheretssPi. fore the remaining angle at C is equalt to the c«"i **remaining angle at F : therefore the triangle ABC...triangle DEF. Next, let each of the angles at C, F be not** less than a right angle : the triangle ABC shall also in this case be equiangular to the triangle DEF.... | |
| Euclid, Robert Simson - Geometry - 1838 - 416 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. XXVIII. THEOR. IN equal circles, equal straight lines cut off equal... | |
| Euclides - Geometry - 1841 - 351 pages
...at * 20. s. A is half* of the angle BGC, and the angle at D half * 7 Ax. 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... | |
| John Playfair - Euclid's Elements - 1842 - 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 be not** less than a right angle ; the triangle ABC is also, in this case, equiangular to the triangle DEF.... | |
| Euclides - 1842
...the angle at A (20. 3.) 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... | |
| John Playfair - Euclid's Elements - 1844 - 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...the triangle ABC is equiangular to the triangle DEF.** wherefore (4. 6.), AB : BG :: DE : EF; but, by hypothesis, DE : EF :: AB : BC, therefore, AB : BC :... | |
| Euclides - 1845
...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** : (hyp.) wherefore the remaining angle at C is equal to the remaining angle at F: (i. 32.) therefore... | |
| Euclid - Geometry - 1845 - 199 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 PROPOSITION XXVIII. THEOB. — In equal circles, equal straight lines cut... | |
| Euclid, John Playfair - Euclid's Elements - 1846 - 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 be not** less than a right angle ; the triangle ABC is also, in this case, equiangular to the triangle DEF.... | |
| Euclides - 1846
...the angle at A is half of the angle BGC, aad the angle at D half of the angle EHF ; therefore also **the angle at A is equal to the angle at D. Wherefore,** In equal circles §c. QED PROP. XXVIII. In equal circles, equal straight lines cut off equal circumferences,... | |
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