| Sir Frederick George Denham Bedford - Naval art and science - 1875 - 532 pages
...distance of light-house. The Danger Angle. The application of this is based on Euclid III., prop. 21, that **angles in the same segment of a circle are equal to one another.** The Danger Angle should only be used with two well-defined points on a well-constructed chart. Example.... | |
| Edward Atkins - 1876 - 130 pages
...remaining angle BAC. Therefore, the angle at the centre, <tc. 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. CASE I. — First, let the segment BAED be greater than a semicircle.... | |
| Francis Cuthbertson (geometer.) - 1876 - 102 pages
...APB is a right angle. Wherefore the angle in a semicircle is a right angle. QED PROPOSITION VII. The **angles in the same segment of a circle are equal to one another. Let** APB, AQB be angles in the same segment APQB. Then shall the L s APS, AQB be equal to one another. First,... | |
| Education Department,London - 1876 - 1010 pages
...lines formed by joining these points with the centre will be double of the original triangle. 2. The **angles in the same segment of a circle are equal to one another.** Find the point through which all the linea bisecting the right angle in all right angled triangles... | |
| University of Madras - 1876 - 580 pages
...other: the base of that which has the greater angle shall be greater than the base of the other. II. The **angles in the same segment of a circle are equal to one another.** From the intersection of the diagonals of a quadrilateral inscribed in a circle, perpendiculars are... | |
| 1876 - 400 pages
...to the sides of any figure inscribed in a circle from their middle points meet in one point. 3. The **angles in the same segment of a circle are equal to one another.** Given three points in the circumference of a circle, required to find a fourth. ALGEBEA. The solution... | |
| Sir George Greenhill - Mathematics - 1876 - 318 pages
...Cab is a straight line. And A Bbc = &BbC, taking away the common part A Bba ; therefore Also 2. The **angles in the same segment of a circle are equal to one another.** If the diagonals AC, BD of the quadrilateral ABCD, inscribed in a circle the centre of which is at... | |
| Robert Potts - Geometry - 1876 - 446 pages
...PROPOSITION XXI. THEOREM. The. angles in the tame 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 equal to one another. First, let the segment BAED be greater than... | |
| Āryabhaṭa - 1878 - 100 pages
...circumference standing upon the same arc, that is, upon tha same part of the circumference. And the **angles in the same segment of a circle are equal to one another. Let** ABC be a circle, BEC an angle at the centre, and BAC an angle at the circumference, standing upon the... | |
| Civil service - 1878 - 228 pages
...according as AD is greater than, equal to, or less than BD, the half of the base. 5. Prove that the **angles in the same segment of a circle are equal to one another.** BAG, BA'C are two angles in the same segment of a circle, and AP, A'P' are drawn cutting BC in P and... | |
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