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Books Books 71 - 80 of 160 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. "
Pure Mathematics - Page 273
1874
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Elementary Geometry, Volume 2

James Maurice Wilson - Geometry - 1868
.... 13 COR. 3. The angle in a semicircle is a right angle . . 13 COR. 4. The opposite angles of every quadrilateral figure inscribed in a circle are together equal to two right angles . 14 COR. 5. The locus of a point at which a given straight line subtends a constant angle is an arc...
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Modern Methods in Elementary Geometry

E. M. Reynolds - Geometry - 1868 - 112 pages
...= the convex angle A OS. Therefore ADS + ACS = ^{AOS + AOB], Therefore ADB + ACS = 2fi. COR. 1. The opposite angles of any quadrilateral figure inscribed in a circle are equal to 2R. COB. 2. The angle on a semicircumference or in a semicircle is a right angle. COR. 3....
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Minutes Of The General Council Of Medical Education & Registration Of The ...

Dr. Francis Hawkins - 1869
...drawn from the centre to the point of contact is perpendicular to the line touching the circle. 8. The opposite angles of any quadrilateral figure inscribed...in a circle are together equal to two right angles. 9. From a given circle to cut off a segment which shall contain an angle equal to a given rectilineal...
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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - Geometry - 1872 - 349 pages
...the triangles formed by joining their extremities are equiangular to each other. PROPOSITION XXII. THEOREM. The opposite angles of any quadrilateral...equal to two right angles. Let ABCD be a quadrilateral fig. inscribed in a 0 . Then must each pair of its opposite is lie together equal to two rt. L s. Draw...
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Elements of geometry, containing the first two (third and fourth ..., Part 2

Euclides - 1872
...proofs, based on the same conceptions, of the important propositions xxn. and xxxi. PROPOSITION XXII. THEOREM. The opposite angles of any quadrilateral...inscribed in a circle, are together equal to two right angle*. Let ABCD be a quadrilateral fig. inscribed in a . Then must each pair of its opposite nbe...
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Journal of the Royal United Services Institute for ..., Volume 16, Issues 67-69

Royal United Services Institute for Defence Studies - Military art and science - 1872
...proves that the angles in the same segment of a circle are equal to one another. The 22nd proves that the opposite angles of any quadrilateral figure inscribed...in a circle are together equal to two right angles, and The 5th of the IV shows how to describe a circle about a given triangle. Sailing along a coast...
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The acting teacher's and student's in training guide and text book for ...

Henry Major - Student teachers - 1873
...semicircle, CAD, CED are equal. Therefore, the whole angle BAD is equal to the whole BED. XXII. — The opposite angles of any quadrilateral figure inscribed...angles. Let ABCD be a quadrilateral figure inscribed in ABCD , any two of its opposite angles shall be together equal to two right angles. Join AC, BD. The...
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the madras

c. foster and co - 1873
...together with three times the square on BD is equal to four times the square on AB. VIII. Prove that the opposite angles of any quadrilateral figure inscribed...in a circle are together equal to two right angles. (a.) ABCD is a quadrilateral figure inscribed in a circle ; the opposite sides AB and DC are produced...
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The Elements of Euclid, containing the first six books, with a selection of ...

James Martin (of the Wedgwood inst, Burslem) - 1874
...angle BAD is equal to the whole angle BED (Ax. 2). Wherefore, the angles in the same segment, &c. Q ED PROPOSITION 22. — Theorem. The opposite angles of...two right angles. Let ABCD be a quadrilateral figure in the circle ABCD. Then any two of its opposite angles shall together be equal to two right angles....
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Euclidian geometry

1874
...of the : and join QH. Then segment APQBH is > a semicircle; . ..-. LAPH= L PROPOSITION XV. 77/i? opposite angles of any quadrilateral figure inscribed...circle are together equal to two right angles. Let ABFG be a quadrilateral figure inscribed in the circle ABF. Then shall the L s ABF, AGF be together...
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