| Robert Potts - 1868 - 434 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... | |
| Edinburgh univ - 1868 - 336 pages
...contained by the whole, and one of the parts, may be equal to the square of the other part. 5. The **angles in the same segment of a circle are equal to one another.** 6. If a straight line touch a circle, and from the point of contact a straight line be drawn cutting... | |
| James Maurice Wilson - Geometry - 1868 - 150 pages
...arc of a circle is half of the angle subtended by the same arc at the centre . . . . . . 11 COR. 1. **Angles in the same segment of a circle are equal to one another** . . . . . . . . . .12 COR. i. If a circle is divided into any two segments by a chord, the angles in... | |
| Great Britain. Education Department. Department of Science and Art - 1869 - 98 pages
...and triangles upon the same base and between the same parallels are equal to one another. (10.) 23 5. **Angles in the same segment of a circle are equal to one another.** *6. Divide a" — SaV + 3aV — a6 by a3 — 3a?x + Sax* — ar>. (10.) 7. Solve the equations : —... | |
| Frederick Walter Simms - Leveling - 1870 - 220 pages
...as compared with its extent, and is deduced from the well-known theorem, that all angles contained **in the same segment of a circle are e'qual to one another.*** The method is as follows : — Place a theodolite at B and another at C, the two terminations of the... | |
| FREDERICK W. SIMMS - 1870 - 174 pages
...as compared with its extent, and is deduced from the well-known theorem, that all angles contained **in the same segment of a circle are equal to one another.*** The method is as follows :— Place a theodolite at B and another at 0, the two ter* Euclid, Book III,... | |
| Henry William Watson - Geometry - 1871 - 320 pages
...one, and only one, circumference can be drawn (Bk. II. Prop. 5, Cor.) ; let this be BPC. Because the **angles in the same segment of a circle are equal to one another,** if any point Q, different from P, be taken in the circumference BPC, the angle BQC will be equal to... | |
| John Fry Heather - Drawing instruments - 1871 - 236 pages
...may be accomplished without travelling beyond the limits of the drawing board. By Euclid iii. 36, the **angles in the same segment of a circle are equal to one another,** and the property demonstrated in this theorem has already been applied in the construction of the centrolinead,... | |
| Henry William Watson - Geometry - 1872 - 326 pages
...the exterior angle is double of either of the interior non-adjacent angles. PROPOSITION u. The angks **in the same segment of a circle are equal to one another. Let** BAC and BDC be angles in the same segment of the Fig. 12. Fig. 13. A ^ -^ DA First let the segment... | |
| Euclides - 1872 - 102 pages
...AOB is drawn a flat angle, and in fig. 2, AOB is drawn a reflex angle. PROPOSITION XXI. THEOREM. The **angles in the same segment of a circle are equal to one another.** Fig. 1. Let BAC, BDCb6 angles in the same segment BADC. Then must L BAG = L .BDC. First, when segment... | |
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