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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 - Page 9
by Edinburgh Mathematical Society - 1894
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Elements of Geometry: With Notes

John Radford Young - Euclid's Elements - 1827 - 208 pages
...inscribed angle subtended by the difference of the opposite intercepted arcs. PROPOSITION XVII. THEOREM. The opposite angles of a quadrilateral inscribed in...a circle, are together equal to two right angles. The opposite angles A, C, or ABC, ADC, of the inscribed quadrilateral ABCD, are together equal to two...
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The Elements of geometry [Euclid book 1-3] in general terms, with notes &c ...

Euclides - 1833 - 304 pages
...other given angle, to which it is external or internal, contrary to prop. 16, b. 1. PROP. 22. THEOR. The opposite angles of a quadrilateral inscribed in a circle, are together equal to two rig/it angles. For of either triangle, into which one of the diagonals resolves the quadrilateral,...
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The British Annals of Education for ...: Being The Scholastic ..., Volumes 1-2

Education - 1844 - 688 pages
...which joins their centres, shall pass through the point of contact. 10. The opposite angles of any quadrilateral inscribed in a circle, are together equal to two right angles. 11. If a straight line touch a circle, and from the point of contact a straight line be drawn cutting...
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The Principles of the Solution of the Senate-house 'riders,' Exemplified by ...

Francis James Jameson - Mathematics - 1851 - 144 pages
...Therefore zAOC + zBOD =* 2zEBC + 2/ECB, = 2ZAEC. 1851. (A). The opposite angles of any quadrilateral figure inscribed in a circle are together equal to two right angles, (in. 22.) (jB). If a polygon of an even number of sides be inscribed in a circle, the sum of the alternate...
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Papers for the schoolmaster, Volume 3

1867 - 336 pages
...the difference of the angles BDE, ADE, will be invariable. SECTION III. 1. The opposite angles of Buy quadrilateral inscribed in a circle, are together equal to two right angles. No parallelogram can be inscribed in a circle, unless it be rectangular. 2. In equal circles the angles...
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Liber Cantabrigiensis, an account of the aids afforded to poor students, the ...

Robert Potts - 1855
...the square on the other part. Deduce the same from the preceding propositions of the Second Book. 6. The opposite angles of a quadrilateral inscribed in...a circle, are together equal to two .right angles. Shew that no parallelogram, except a rectangle, can be inscribed in a circle. 7. If a straight line...
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Mathematical Questions and Solutions

Mathematics - 1865
...a; into — x, we have [-*]"" = (~1)a ; also, [-*] - 1. * 1531 (Proposed by Dr. BOOTH, FRS)— " The opposite angles of a quadrilateral inscribed in...a circle are together equal to two right angles." What is the more general theorem in the conic sections, of which this is a particular case P Solution...
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Calendar of the McGill University, Montreal

McGill University - 1865
...square of half the line is equal to the square of the line made up of the half and the produced part. 3. The opposite angles of a quadrilateral inscribed in a circle are together equal to two right angles. o. If the opposite angles of a quadrilateral are together equal to two right angles, the quadrilateral...
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Mathematical Questions and Solutions, from the "Educational Times ..., Volume 2

W. J. C. Miller - Mathematics - 1865
...into — x, we have [-*]-* = (~1) ; also, [-*]" = 1. O-rp 1 53 1 (Proposed by Dr. BOOTH, PES)— " The opposite angles of a quadrilateral inscribed in...a circle are together equal to two right angles." What is the more general theorem in the conic sections, of which this is a particular case ? Solution...
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The Madras University Calendar

University of Madras - 1873
...more than four aides, shew that at least one of its angles must be greater than a right angle. III. The opposite angles of a quadrilateral inscribed in a circle are together equal to two right angles. IV. The rectangle contained by the diagonals of a quadrilateral inscribed in a circle is equal to the...
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