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" The angles in the same segment of a circle are equal to one another. "
The Elements of Euclid: Viz, the First Six Books, Together with the Eleventh ... - Page 81
by Euclid, Robert Simson - 1829 - 516 pages
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The Sailor's Pocket Book: a Collection of Practical Rules, Notes, and Tables ...

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....
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Elements of geometry, based on Euclid, books i-iii

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....
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Primer of geometry

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,...
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Examination Christmas,1875

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...
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The Madras University Calendar, Volume 1

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...
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The Teachers' assistant and pupil teachers' guide, Volume 1

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...
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Solutions of the Cambridge Senate-house Problems and Riders for the Year 1875

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...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

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...
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The elements of plane geometry, from the Sansk. text of Ayra Bhatta, ed. by ...

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...
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Civil Service of India: Open Competition for the Regulations, Examinations ...

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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