 | Benjamin Peirce - Geometry - 1847 - 204 pages
...its measure the half of an arc It EC less than a semicircumference. 111. Corollary. Every angle BE C inscribed in a segment less than a semicircle is an obtuse angle ; for it has for its measure the half of an arc greater than a semicircumference. 112. Theorem. In the same... | |
 | Elias Loomis - Conic sections - 1849 - 252 pages
...semicircle is an acute angle, for it is measured by half an arc less than a semicircumference. Every angle inscribed in a segment less than a semicircle is an obtuse angle, for it is measured by half an arc greater than a semicircumference. Cor. 4. The opposite angles of an inscribed quadrilateral,... | |
 | Almon Ticknor - Measurement - 1849 - 156 pages
...part of the whole circumference = 90°, that is one-half of 180°, 1 of 360°. 38. Every angle B0C, inscribed in a segment less than a semicircle, is an obtuse angle ; for it is measured by half of the arc BAC, greater than a circumference. g 39. COR. The opposite angles A and C of an inscribed... | |
 | Charles Davies - Trigonometry - 1849 - 372 pages
...angle ; for it is measured by half of the arc BOC, less than a semicircumference. And every angle BOC, inscribed in a segment less than a semicircle, is an obtuse angle ; for it is measured by half of the arc BAG, greater than a semicircumference. Cor. 4. The opposite angles A and C, of an inscribed... | |
 | Adrien Marie Legendre - Geometry - 1852 - 436 pages
...is measured by half the arc BOC, less than a semicircumference (p. 17, s. 2). And every angle BOC, inscribed in a segment less than a semicircle, is an obtuse angle ; for it is measured by half the arc greater than a semicircumference. G BAG, COT. 4. The opposite angles A and C, of an inscribed... | |
 | Charles Davies - Geometry - 1854 - 436 pages
...by half the arc BOC, less than a semicircumference (p. 17, s. 2). And every angle BOC, inscribed 1n a segment less than a semicircle, is an obtuse angle ; for it is measured by half the arc greater than a semicircumference. C BAC, Cor. 4. The opposite angles A and C, of an inscribed... | |
 | Adrien Marie Legendre, Charles Davies - Geometry - 1857 - 442 pages
...is measured by half the arc BOC, less than a semicircumference (P. 17, s. 2). And every angle BOC, inscribed in a segment less than a semicircle, is an obtuse angle ; for it i& measured by half the arc BA C, greater than a semicircumference. Cor. 4. The opposite angles A and... | |
 | Benjamin Greenleaf - Geometry - 1862 - 518 pages
...for it is measured by the half of the arc B0C, less than a semi-circumference. And every angle, B0C, inscribed in a segment less than a semicircle, is an obtuse angle ; for it is measured by half of the arc BAC, greater than a semi-circumference. 204. Cor. 4. The opposite angles, A and D,... | |
 | Benjamin Greenleaf - Geometry - 1861 - 638 pages
...for it is measured by the half of the arc BOG, less than a semi-circumference. And every angle, BOG, inscribed in a segment less than a semicircle, is an obtuse angle ; for it is measured by half of the arc BAG, greater than a semi-circumference. 204. Cor. 4. The opposite angles, A and D,... | |
 | Benjamin Greenleaf - Geometry - 1863 - 504 pages
...it is measured by the half of the arc B 0 C, less than a semi-circumference. And every angle, BOC, inscribed in a segment less than a semicircle, is an obtuse angle ; for it is measured by half of the arc BAC, greater than a semi-circumference. 204. Cor. 4. The opposite angles, A and D,... | |
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BAC, inscribed in a segment greater than a semicircle, is an acute angle ; for it is measured by half of the arc BOC, less than a semicircumference. 
