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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

Adrien Marie Legendre - Geometry - 1819 - 208 pages
...it has tor its measure the half of the arc BOC less than a semicircumferencc. And every angle BOC, inscribed in a segment less than a semicircle, is an obtuse angle; for it has for its measure the half of the arc II. 1C greater than a semicircumference. Fig. 68. 130. Corollary...
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Elements of Geometry and Trigonometry: With Notes

Adrien Marie Legendre - Geometry - 1822 - 367 pages
...for it is measured by the 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 the half of the arc BAC, greater than a semicircumference. Cor. 4. The opposite angles A and C, of...
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Elements of Geometry...: Translated from the French for the Use of the ...

Adrien Marie Legendre, John Farrar - Geometry - 1825 - 280 pages
...it has for its measure the 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 has for its measure the half of the arc BAC greater than a semicircumference. Fig. 68. 130. Corollary...
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Elements of Geometry

Adrien Marie Legendre - Geometry - 1825 - 224 pages
...it has for its measure the 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 has for its measure the half of the arc BAC greater than a semicircumference. Fig. 68. 130. Corollary...
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Elements of Geometry and Trigonometry

Adrien Marie Legendre - Geometry - 1836 - 359 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 BAC, greater than a semicircumference. Cor. 4. The opposite angles A and C, of an inscribed...
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An Elementary Treatise on Plane and Solid Geometry

Benjamin Peirce - Geometry - 1837 - 216 pages
...for its measure the half of an arc BEC less than a semicircumference. 110. Corollary. Every angle BEC 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. 111. Theorem. In the same...
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Elements of Geometry

Adrien Marie Legendre - Geometry - 1841 - 235 pages
...it has for its measure the 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 has for its measure the half of the arc BA C greater than a semicircumference. Fig. 68 130. Corollary...
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Elements of Geometry: On the Basis of Dr. Brewster's Legendre : to which is ...

James Bates Thomson - Geometry - 1844 - 237 pages
...for it is measured by the half of the arc BOC, 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 the half of the arc BAC, greater than a semi circumference. Cor. 4. The opposite angles A and C, of...
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Elements of plane (solid) geometry (Higher geometry) and trigonometry (and ...

Nathan Scholfield - 1845 - 894 pages
...for it is measured by half of the arc B( >C, less tliari a semi-circumference. And every angle HOC, 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. Cor. 4. The opposite angles A and C, of an...
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An Introduction to Geometry and the Science of Form: Prepared from the Most ...

Anna Cabot Lowell - Geometry - 1846 - 161 pages
...half of a semi-circumference, that is, a quadrant. 175. Cor. 3. Every angle, as ACD, CDB, (fig. 103,) inscribed in a segment less than a semi-circle is an obtuse angle, for it is measured by the half of an arc greater than a semi-circumference. 176. Cor. 4. Every angle, as ABC, ABD, inscribed...
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