| John Radford Young - 1827 - 208 páginas
...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... | |
| Euclides - 1833
...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,... | |
| 1844
...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... | |
| FRANCIS J. JAMESON - 1851
...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... | |
| 1867
...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... | |
| 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... | |
| 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... | |
| 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... | |
| W. J. C. Miller - 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... | |
| 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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