| 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
...that the angle EDC is double of the angle DAC, and that EDB a part of the firft is double of DAB apart **of the other ; therefore the remaining angle BDC is double of the remaining angle BAC.** Therefore the angle at the centre, &c. Q^ED a 5. I. b 32. t. PROP. XXI. THEO R. HTHE angles in the... | |
| John Playfair, Euclid - Circle-squaring - 1804 - 468 pages
...in the firft cafe, that the angle EDC is double of the angle DAC, and that EDB a part of the firft, **is double of DAB, a part of the other ; therefore...remaining angle BDC is double of the remaining angle BAC.** Therefore the angle at the centre, &.c. Q..ED PROP. XXI. THEO R. r~|~'HE angles in the fame fegment... | |
| Robert Simson - Trigonometry - 1806 - 546 pages
...remaining angle BEC is double of the remaining angle BDC. Therefore, the angle at the centre, &c. QED **PROP. XXI. THEOR. THE angles in the same segment of a circle are** See K. equal to one another. Let ABCD be a circle, and BAD, BED angles in the same segment BAED: the... | |
| John Playfair - Mathematics - 1806 - 320 pages
...to E. It may be demonstrated, as in the first case, that the angle EDC is double of the angle DAC, **and that EDB, a part of the first, is double of DAB,** apart of the other; therefore the remaining angle BDC is double of the remaining angle BAC. Therefore,... | |
| Richard Watson (bp. of Llandaff.) - 1808 - 156 pages
...you here seem to confound it. We know that the whole is greater than its part ; and we know that all **the angles in the same segment of a circle are equal to** each other — we have intuition and demonstration as grounds of this knowledge; but, is there no ground... | |
| Sir John Leslie - Geometry, Plane - 1809 - 522 pages
...double of the excess of BDE above ADE, that is, of the angle ADB at the circumference. 03 PROP. XX. **THEOR. The angles in the same segment of a circle are equal.** Let ADB be the segment of a circle; the angles AFB, AGB contained in it, or which stand on the opposite... | |
| John Mason Good - 1813 - 714 pages
...angle at the 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 remaining angle BEC is double of the remaining angle BDC. Therefore 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, BED angles in the same segment BAED: The... | |
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