| Robert Simson - Trigonometry - 1775 - 534 pages
...the angle at the center, &c. Q^ED PROP. XXL THEO R. angles in the fame fegment of a circle are qual **to one another. Let ABCD be a circle, and BAD, BED angles in the** fame fegment BAED : The angles BAD, BED are equal to one another. Take F the center of the circle ABCD... | |
| Euclid - 1781 - 552 pages
...BDC. Therefore the angle at the centre, &c. Q; ED PROP. XXI. THEO R. THE angles in the fame fegment **of a circle are equal to one another. Let ABCD be a circle, and BAD, BED** angK-s in the fame fegment BAED : j he angles BAD, BED are equal to one another. Take F the c.ntrc... | |
| Euclid, John Playfair - Euclid's Elements - 1795 - 462 pages
...another. , . ' ... ' . . "•.•-. it Let ABCD be a circle, and BAD, BED angles in the fame fegment **BAED : The angles BAD, BED are equal to one another. Take F the centre of the circle ABCD : And,** firft, let the fegment BAED be greater than a femicircle, and join BF, FD : And becaufe the angle BFD... | |
| Alexander Ingram - Trigonometry - 1799 - 374 pages
...equal to one another. Let ABC D be a circle, and BAED a fegment of it; the angks in the fegment BAED **are equal to one another. Take F the centre of the circle,** and .A. through it draw any ftraight line AC curring BD, and join BA, AD ; and let BED be any other... | |
| John Playfair, Euclid - Circle-squaring - 1804 - 468 pages
...Therefore the angle at the centre, &.c. Q..ED PROP. XXI. THEO R. r~|~'HE angles in the fame fegment **of a circle are •*- equal to one another. Let ABCD be a circle, and BAD, BED angles in the** fame fegment BAED : The angles BAD, BED are equal to one another. Take F the centre of the circle ABCD... | |
| Robert Simson - Trigonometry - 1804 - 530 pages
...center, &c. QJLD. PROP. XXI. THEOR. T HE angles in fhe fame fegment of a circle are See N. equal td **one another, Let ABCD be a circle, and BAD, BED angles in the** fame fegment B AED; the angles BAD, BED are equal to one another. Take F the center of the circle ABCD.... | |
| John Playfair - Euclid's Elements - 1806 - 320 pages
...double of the remaining angle BAC. Therefore, the angle at the centre, &;c. QED PROP. XXI. THEOR< THE **angles in the same segment of a circle are equal to...same segment BAED ; the angles BAD, BED are equal to** each otherTake F, the centre of the circle ABCD. Let the segment BAED be greater than a semicircle,... | |
| John Mason Good - 1813 - 714 pages
...circumference, upon the same ha.-e, that is, upon the same part of the circumference. Prop, XXI. Theor. The **angles in the same segment of a circle are equal to one another.** Prop. XXI I. Theor. The opposite angles of any quadrilateial figure described in a circle, are together... | |
| John Gummere - Surveying - 1814 - 398 pages
...same part of the circumference : thus the angle EEC is double of the angle BAG. Fig- 38. i • 11. The **angles in the same segment of a circle are equal to one another** : thus the angle BAD is equal to the angle BED ; also the angle BCD is equal to the angle BFD. Fig.... | |
| Euclides - 1816 - 588 pages
...the angle at the centre, &c. PROP. XXI. THEOR. THE angles in the same segment of a circle are See N. **equal to one another. Let ABCD be a circle, and BAD,...: And, first, let the segment BAED be greater than** a semicircle, , and join BF, FD: And because the " angle BFD is at the centre, and the angle BAD at... | |
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