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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. "
Elements of Plane and Solid Geometry - Page 95
by George Albert Wentworth - 1877 - 398 pages
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Elements of Geometry and Conic Sections

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...
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Elements of Geometry and Trigonometry Translated from the French of A.M ...

Charles Davies - Trigonometry - 1849 - 372 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...
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Elements of Geometry and Trigonometry

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...
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Elements of Geometry and Trigonometry from the Works of A.M. Legendre ...

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...
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Elements of Geometry and Conic Sections

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...
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Elements of Plane and Spherical Trigonometry: With Practical Applications

Benjamin Greenleaf - Geometry - 1861 - 638 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...
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Elements of Geometry and Trigonometry: With Practical Applications

Benjamin Greenleaf - Geometry - 1862 - 518 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...
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Elements of Geometry: With Practical Applications to Mensuration

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...
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Elements of Geometry: With Practical Applications to Mensuration

Benjamin Greenleaf - Geometry - 1868 - 340 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,...
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Elements of Geometry, Conic Sections, and Plane Trigonometry

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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