| Elias Loomis - Conic sections - 1849 - 252 pages
...their difference, BAD, is measured by half of BD. Therefore, an inscribed angle, &c. Cor. 3. Every **angle inscribed in a segment greater than a 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... | |
| Charles Davies - Trigonometry - 1849 - 384 pages
...semicircumference BOD, „ that is, by the fourth part of the whole circumference. Cor. 3. Every angle 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. And every angle BOC, inscribed in a segment less... | |
| Adrien Marie Legendre - Geometry - 1852 - 436 pages
...BOD, that is, by the fourth part of the whole circumference (P. 17, s. 2). Cor. 8. Every angle BAC, **inscribed in a segment greater than a semicircle, is an acute angle; for it is measured by** half the arc BOC, less than a semicircumference (p. 17, s. 2). And every angle BOC, inscribed in a... | |
| Charles Davies - Geometry - 1854 - 436 pages
...BOD, that is, by the fourth part of the whole circumference (P. 17, s. 2). Cor. 3. Every angle BAC, **inscribed in a segment greater than a semicircle, is an acute angle; for it is measured by** half the arc BOC, less than a semicircumference (p. 17, s. 2). And every angle BOC, inscribed 1n a... | |
| Elias Loomis - Conic sections - 1858 - 256 pages
...by half a semicircumference that is, the fourth part of a circumference. segment anarc Cor. 3. Every **angle inscribed in a segment greater than a semicircle is an acute angle, for it is measured by** half an arc less than a semicircumference. Every angle inscribed in a less than a semicircle is an... | |
| Benjamin Greenleaf - Geometry - 1861 - 628 pages
...semi-circumference, BOD ; that is, by the fourth part of the whole circumference. 203. Cor. 3. Every angle, BAG, **inscribed in a segment greater than a semicircle, is an acute angle ; for it is measured by** the half of the arc BOG, less than a semi-circumference. And every angle, BOG, inscribed in a segment... | |
| Benjamin Greenleaf - Geometry - 1862 - 520 pages
...semi-circumference, B0D ; that is, by the fourth part of the whole circumference. 203. Cor. 3. Every angle, BAC, **inscribed in a segment greater than a semicircle, is an acute angle ; for it is measured by** the half of the arc B0C, less than a semi-circumference. And every angle, B0C, inscribed in a segment... | |
| Benjamin Greenleaf - Geometry - 1863 - 504 pages
...semi-circumference, BOD ; that is, by the fourth part of the whole circumference. 203. Cor. 3. Every angle, B AC, **inscribed in a segment greater than a semicircle, is an acute angle ; for 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... | |
| Benjamin Greenleaf - Geometry - 1868 - 338 pages
...semi-circumference, B0D ; that is, by the fourth part of the whole circumference. 203. Cor. 3. Every angle, BAC, **inscribed in a segment greater than a semicircle, is an acute angle** j for it is measured by the half of the arc B0C, less than a semi-circumference. And every angle, BOC,... | |
| Elias Loomis - Geometry - 1871 - 302 pages
...segment are equal, for they are all measured by half the same arc BEC. (See next fig.) Cor. 3. Every **angle inscribed in a segment greater than a 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... | |
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