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Books Books 1 - 10 of 121 on The opposite angles of any quadrilateral figure inscribed in a circle, are together....
" The opposite angles of any quadrilateral figure inscribed in a circle, are together equal to two right angles. "
New series of The mathematical repository - Page 25
by Thomas Leybourn - 1835
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The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - Trigonometry - 1827 - 513 pages
...t2Ax. to the whole angle BED. Wherefore the angles in the same segment, &c. QED PROP. XXII. THEOR. The opposite angles of any quadrilateral .figure inscribed...a circle, are together equal to two right angles. 1 20. 3. Let ABCD be a quadrilateral figure in the circle ABCD; any two of its opposite angles shall...
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Philosophical Magazine

Science - 1828
...the solidity. 10 70. Parallelograms upon equal bases and between the same parallels are equal. 80. The opposite angles of any quadrilateral figure, inscribed...a circle, are together equal to two right angles. 81. If two triangles have one angle in one equal to one angle in the other, and the sides about the...
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Register

University of Cambridge, Sir Thomas Gery Cullum - 1830
...EXAMINATION. MODERATORs. Mr. CHALLIS, Trinity. Mr. BOWSTEAD, Corpus. ExAMINERs. Mr. KING, Queens'. Mr. HANSON, Caius. FRIDAY MORNING, January 14, 1831....given circle. 3. What sum must be paid for 439. 12s. 5d., 3i per cent, stock, at 92-J per cent.? 4. Shew that %. ,- = 16.746, &c.; also prove that...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair, James Ryan - Euclid's Elements - 1835 - 316 pages
...CAD, CED are equal ; Therefore the whole angle BAD is equal to the whole angle BED. PROP. XXII. THEOR. The opposite angles of any quadrilateral figure inscribed...a circle, are together equal to two right angles. Let ABCD be a quadrilateral figure in the circle ABCD ; any two of its opposite angles are together...
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Mathematical problems and examples, arranged according to subjects, from the ...

Mathematics - 1836
...two, the plane which passes through them, is parallel to the plane passing through the others. 1831 9. The opposite angles of any quadrilateral figure inscribed...in a circle are together equal to two right angles. 10. Describe an equilateral and equiangular pentagon about a given circle. 11. Triangles and parallelograms...
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A System of Popular Geometry: Containing in a Few Lessons So Much of the ...

George Darley - Geometry - 1836 - 128 pages
...situated in the circumference of that circle. ART. 69. The opposite angles of a four-sided rectilineal figure inscribed in a circle, are together equal to two right angles. Let ABCD be a four-sided rectilineal figure inscribed in the circle ACD. Then the angles ABC, ADC,...
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Lessons on form; or, Introduction to geometry as given in a Pestalozzian ...

Charles Reiner - 1837
...intersect each other at right angles, the four straight lines joining their extremities form a square. 15. The opposite angles of any quadrilateral figure inscribed...in a circle are together equal to two right angles. 16. A square,—a rectangle,—and a trapezium of which the opposite angles are together equal to two...
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A companion to Euclid: being a help to the understanding and remembering of ...

Euclides - 1837
...that, similarly, Z CAD, =: Z CED, 3. that .'. whole Z BAD — whole Z BED. PROPOSITION XXII. Theorem. The opposite angles of any quadrilateral figure inscribed...in a circle are together equal to two right angles. Steps of the Demonstration. 1. Prove that whole Z ADC = Zs BAG + ACB, 2. that Zs ADC + CBA = the 3...
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Euclid's Elements [book 1-6] with corrections, by J.R. Young

Euclides - 1838
...equal to the whole angle BED. Therefore the angles in the same segment, &c. QE n. PROP. XXII. THEOR. The opposite angles of any quadrilateral figure inscribed...in a circle are together equal to two right angles. Let ABCD be a quadrilateral figure in the circle ABCD; any two of its opposite angles shall together...
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The figures of Euclid with the enunciations, as printed in Euclid's Elements ...

Euclides - 1840
...XXI. THEOR. All angles in the same segment of a circle are equal to one another. PROP. XXII. THEOR. The opposite angles of any quadrilateral figure inscribed...a circle, are together equal to two right angles. PROP. XXIII. THEOR. Upon the same straight line, and upon the same side of it, there cannot be two...
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