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" The opposite angles of a quadrilateral inscribed in a circle are together equal to two right angles, with converse. "
Proceedings of the Edinburgh Mathematical Society - Página 9
por Edinburgh Mathematical Society - 1894
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Philosophical Magazine

1845
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Calendar

University of Sydney - 1913
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Geometry Civilized: History, Culture, and Technique

J. L. Heilbron - 2000 - 309 páginas
...ends of the diameters pass through the point of tangency: and probable Junior Optimes had to prove that the opposite angles of a quadrilateral inscribed in a circle are supplementary. Figures ii7-ii9 show what is required in these problems. None is difficult. All are...
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Exercises in Mathematics

David Beveridge Mair - 1914 - 469 páginas
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The Mathematics of Egypt, Mesopotamia, China, India, and Islam: A Sourcebook

Victor J. Katz, Annette Imhausen - 2007 - 685 páginas
...matriculation examination at Madras University in 1903 included typical Euclidean problems such as "Prove that the opposite angles of a quadrilateral inscribed...in a circle are together equal to two right angles" [Berndt and Reddi 2004, 334]. This Westernized mathematical training naturally influenced the practice...
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Calendar

University of St. Andrews - 1904
...r/p. Prove that the equation whose roots are a4 and ,3* is (p'x + f-)2 - (2pr - <?)*x = 0. & 7. Prove that the opposite angles of a quadrilateral inscribed...in a circle are together equal to two right angles. A, B, C, D are i'our points on a circle. If AB and BC be joined and from D perpendiculars DE, DF be...
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The Aberdeen University Calendar

University of Aberdeen - 1904
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Calendar

University of St. Andrews - 1898
...square on this straight line is equal to the sum of the squares on the segments of the hypotenuse. 3. The opposite angles of a quadrilateral inscribed in a circle are together equal to two right angles. State as many as you know of the properties of a cyclic quadrilateral. ACB is a right-angled triangle...
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a gemoetry for schools

...the angle at the circumference (on the same arc). 4. The angle in a semicircle is a right angle. 5. The opposite angles of a quadrilateral inscribed in a circle are together equal to two right angles. 6. If the opposite angles of a quadrilateral make up two right angles, a circle can be described about...
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The Calendar of the University of Toronto ...

University of Toronto. Faculty of Arts - 1906
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