| Euclid, John Keill - Geometry - 1723 - 442 pages
...the Angle at A is one half of the Angle BGC; and the Angle at D one half of the Angle EHF. Therefore **the Angle at A is equal to the Angle at D. Wherefore** Angles, that ftand upon equal Circumferences in equal Circles•, are equal to each other, whether... | |
| Euclid, John Keill - Geometry - 1733 - 448 pages
...the Angle at A is one half of the Angle BGC; and the Angle at D one half of the Angle EHF. Therefore **the Angle at A is equal to the Angle at D. Wherefore** Angles, that ft and upon equal Circumferences in equal Circles, are equal to each other, whether they... | |
| Robert Simson - Trigonometry - 1762 - 466 pages
...than a right angle ; which is abfurd. 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** ; Book VI. wherefore the remaining angle at C is equal to the remaining angle at F. therefore the triangle... | |
| Euclid - Geometry - 1765 - 464 pages
...is abfurd: "Therefore the angle ABC is not unequal to the angle DEF ; they are therefore equal. But **the angle at A is equal to the angle at D ; wherefore...equal to the remaining angle at F : Therefore the** triangles ABc, DEF are equiangular. Again, let us fuppofe each of the angles c, F to be not iels than... | |
| Euclid - 1781 - 550 pages
...it : And the angle A is half of the angle BGC, and the angle at D half of the angle EliF : Therefore **the angle at A is equal to the angle at D Wherefore,** in equal circles, &e. Q. E D. PROP. .1. i PROP. XXVIII. THEO R. Book in. "IN equal circles, equal ftraight... | |
| Robert Simson - Trigonometry - 1781 - 466 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. ( ED _J Book I II. PROP. XXVIH. THEO R. IN equal circles, equal ftraight lines... | |
| Euclid, James Williamson - Euclid's Elements - 1781 - 324 pages
...and the angle at A is half of the angle BGC ; and the angle at D is half of the angle EHF : wherefore **the angle at A is equal to the angle at D. Wherefore** in equal circles, the angles which ftand upon equal cir- Book in. cumferences are equal to one another... | |
| John Playfair - Trigonometry - 1795 - 444 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. THE OR. TN equal circles, equal ftraight lines cut off equal... | |
| Alexander Ingram - Trigonometry - 1799 - 351 pages
...i7- 1• h i3. i. BooK VI. Therefore the angles ABC, DEF are not unequal, that is, \~s*,T>*J they are **equal; and the angle at A is equal to the angle at D** • therefore the remaining angle at C is equal to the remaining angle at F : Wherefore the triangle... | |
| John Playfair - Euclid's Elements - 1804 - 470 pages
...than a right angle; which is abfurd. 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 remaining angle at F : "Therefore the triangle** ARC is equiangular to the triangle DEF. Next, let each of the angles at C, F be not lefs than a righ;... | |
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