| Henry S. Merrett - 1863 - 428 pages
...6, С d, С с, &с. See the 21st proposition of the third book of Euclid, that all angles contained **in the same segment of a circle are equal to one another.** The radius is equal to 20 chains, or 1320 feet The angles E В С and E С В are each 30 degrees,... | |
| Henry S. Merrett - 1863 - 476 pages
...B 6, C rf, C c, &c. See the 21st proposition of the third book of Euclid, that all angles contained **in the same segment of a circle are equal to one another.** The radius is equal to 20 chains, or 1320 feet. The angles EBC and ECB are each 30 degrees, which,... | |
| Euclides - 1864 - 262 pages
...the remaining angle BA C. Therefore the angle at the center, &c. QED PROPOSITION XXI. THEOREM. The **angles in the same segment of a circle are equal to one another. Let** AB CD be a circle, and BAD, BED angles in the same segment BAED. Then the angles BAD, BED shall be... | |
| Euclides - 1864 - 448 pages
...the remaining angle BA C. Therefore the angle at the center, &c. QED PROPOSITION XXI. THEOREM. The **angles in the same segment of a circle are equal to one another.** "LetABCD\ie a circle, and BAD, BED angles in the same segment BAED. Then the angles BAD, BED shall... | |
| University of Calcutta - 1864 - 388 pages
...alternate angles equal to one another. Trisect, (1) a right angle, (2) one-fourth of a right angle. 2. The **angles in the same segment of a circle are equal to one another.** If two circles cut each other the line joining their centres bisects their common chord ; and the common... | |
| Euclides - 1865 - 402 pages
...double of the remaining angle BAC. Therefore, the angie at the centre, &c. QED PROP. XXI THEOREM. The **angles in the same segment of a circle are equal to one another.** (References — Prop. m. 1, 20.) Let ABCD be a circle, and BAD, BED, angles in the same segment BAED.... | |
| Robert Potts - 1865 - 528 pages
...remaining angle BA C. Therefore the angle at the center, &c. QED PROPOSITION XXI. THEOREM. The angle! **in the same segment of a circle are equal to one another. Let** A BCD be a circle, and BAD, BED angles in the same segment BAED. Then the angles BAD, BED shall be... | |
| John Playfair - Geometry - 1855 - 350 pages
...therefore the remaining angle BDC is double of the remaining angle BAC. B PROP. XXI. THEOR. The angles m **the same segment of a circle are equal to one another....centre of the circle ABCD: And, first, let the segment** 15 A HI) be greater than a semicircle, and join BF, FD : and because the angle li FD is at the centre,... | |
| Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...of the remaining angle BA C. Wherefore, the angle at the centre &c. QED PROPOSITION 21. THEOREM. The **angles in the same segment of a circle are equal to...angles in the same segment BAED: the angles BAD, BED** shall be equal to one another. Take F the centre of the circle ABCD. [III. 1. First let the segment... | |
| Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 424 pages
...angle BAC. Wherefore, the angle at the centre &c. QED PROPOSITION 21. THEOREM. The angles in the tame **segment of a circle are equal to one another. Let...angles in the same segment BAED: the angles BAD, BED** shall be equal to one another. Take F the centre of the circle ABCD. [III. 1. First let the segment... | |
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