 | Robert Potts - 1865 - 528 pages
...whole angle BED. (ax. 2.) Wherefore the angles in the same segment, &c. QED PROPOSITION XXn. THEOREM. 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 AB CD. Then any two of its opposite angles shall together... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 424 pages
...to the triangle is equal to four right angles. 211. A quadrilateral is inscribed in a circle: shew that the sum of the angles in the four segments of...to the quadrilateral is equal to six right angles. 212. Divide a circle into two parts so that the angle contained in one segment shall be equal to twice... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...whole angle BED. [Axiom 2. Wherefore, the angles in the same segment &c. QED PROPOSITION 22. THEOREM. The opposite angles of any quadrilateral figure inscribed...in a circle are together equal to two right angles. Let ABCD be a quadrilateral figure inscribed in the circle ABCD : any two of its opposite angles shall... | |
 | Robert Potts - 1868 - 434 pages
...angle BED. (ax. 2.) Wherefore the angles in the same segment, &c. QEI». PROPOSITION XXII. THEOREM. The opposite angles of any quadrilateral figure inscribed...a circle, are together equal to two right angles. Let AB CD be a quadrilateral figure in the circle A BCD. Then any two of its opposite angles shall... | |
 | James Maurice Wilson - Geometry - 1868 - 150 pages
.... 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... | |
 | E. M. Reynolds - Geometry - 1868 - 172 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.... | |
 | General Medical Council (Great Britain) - 1869 - 402 pages
...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... | |
 | Royal United Services Institute for Defence Studies - Military art and science - 1872 - 742 pages
...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... | |
 | Euclides, James Hamblin Smith - Geometry - 1872 - 376 pages
...triangles formed by joining their extremities are equiangular to each other. PROPOSITION XXII. THEOREM. The opposite angles of any quadrilateral figure, inscribed...a circle, are together 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... | |
 | Euclides - 1872 - 102 pages
...based on the same conceptions, of the important propositions xxn. and xxxi. PROPOSITION XXII. THEOREM. The opposite angles of any quadrilateral figure, 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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The opposite angles of any quadrilateral figure inscribed in a circle, are together equal to two right angles. 
