The opposite angles of a quadrilateral inscribed in a circle are together equal to two right angles, with converse. Calendar - Side 286av University of St. Andrews - 1896Uten tilgangsbegrensning - Om denne boken
| John Radford Young - 1827 - 208 sider
...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... | |
| Hirsh - 1827 - 304 sider
...324', 6 = 137', с = 431', d = 122', then q = 44079-76 D'. SECTION XXXI. Рвов. All the sides of **a quadrilateral, whose opposite angles are together equal to two right angles** (about which, consequently, a circle may be described), are given: required to find its area. SOLUT.... | |
| Meyer Hirsch - 1827 - 264 sider
...324', b = 137', с = 431х, d = 122х, then q = 44079-76 Dх. ' SECTION XXXI. PHOB. All the sides of **a quadrilateral, whose opposite angles are together equal to two right angles** (about which, consequently, a circle may be described), are given: required to ßnd us area. SOLUT.... | |
| 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... | |
| ...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... | |
| Edward Butler (A.M.) - 1862
...will become Q=i&2 sec20 secsx t»n Q5 which is calculable by logarithms. 73. Given the four sides of **a quadrilateral whose opposite angles are together equal to two right angles,** to find the angles and the area. Let the sides AB, BC, CD, and DA, of the quadrilateral be represented... | |
| 1863
...the squares of the lines joining the angular points with the middle points of the opposite sides. 12. **The opposite angles of a quadrilateral inscribed in...a circle are together equal to two right angles. A** segment of a circle rolls upon a plane from one end of its circumference to the other. Shew that the... | |
| 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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