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" The angles in the same segment of a circle are equal to one another. "
The elements of plane geometry, from the Sansk. text of Ayra Bhatta, ed. by ... - Página 59
por Āryabhaṭa - 1878
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Solutions of the Cambridge Senate-house Problems and Riders for the Year 1875

Sir George Greenhill - 1876 - 318 páginas
...that 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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The Madras University Calendar, Volumen1

University of Madras - 1876 - 580 páginas
...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, Volumen1

1876 - 400 páginas
...angles 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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Examination Christmas,1875

Education Department,London - 1876 - 1010 páginas
...the 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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Hermathena, Volumen3

1877 - 626 páginas
...subject is mentioned ; and we shall see later that Hippocrates of Chios did not know the theorem — that the angles in the same segment of a circle are equal to each other. Though this be so, there is, as we have seen, a tradition (t) that the problem of the quadrature...
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Complete guide to the certificate and scholarship examinations, by a head ...

J T. Amner - 1878 - 226 páginas
...angles 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. CERTIFICATE CANDIDATES....
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Civil Service of India: Open Competition for the Regulations, Examinations ...

1878 - 228 páginas
...obtuse, 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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Mathews' Euclid examination papers ... on Euc. i.-iv

Edward Harri Mathews - 1879 - 94 páginas
...corresponding angular points of the former -triangle will be bisected by the sides of the former. 3. The angles in the same segment of a circle are equal to one another. x The point, in which the external bisector of one angle of a triangle again cuts the circumscribed...
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The Elements of Plane and Solid Geometry: With Chapters on Mensuration and ...

Isaac Sharpless - 1879 - 282 páginas
...(last case) EDB-2EAB and EDC = 2EAC, subtracting (Ax. 3) BDC = 2BAC. Proposition 17. Theorem.—The angles in the same segment of a circle are equal to one another. Let ABCD be a circle, and BAD, BED angles in the same segment BAED ; the angles BA D, BED are equal to...
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Queen's scholarship examination. Amner's eight years' scholarship questions ...

Joseph Wollman - 1879 - 120 páginas
...in a circle from their middle points meet in a point, and this point is the centre of the circle. 3. The angles in the same segment of a circle are equal to one another. Given three points in the circumference of a circle, find a fourth. Let A, B, and C be the three given...
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