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" 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. "
Euclid simplified. Compiled from the most important French works, approved ... - Page 56
by John Reynell Morell - 1875 - 16 pages
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Elements of Geometry

Adrien Marie Legendre - Geometry - 1819 - 574 pages
...an acute angle : Tor 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 iv....
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Elements of Geometry and Trigonometry: With Notes

Adrien Marie Legendre - Geometry - 1822 - 394 pages
...a segment greater than a semicircle, is an acute angle ; for it is measured by the half of the arc BOC, less than a semicircumference. And every angle...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...
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Elements of Geometry

Adrien Marie Legendre - 1825 - 570 pages
...segment greater than a semicircle, is an acute angle ; for it has for its measure the half of the arc BOC less than a semicircumference. And every angle...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 iv. The...
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Elements of Geometry...: Translated from the French for the Use of the ...

Adrien Marie Legendre, John Farrar - Geometry - 1825 - 294 pages
...segment greater than a semicircle, is an acute angle ; for it has for its measure the half of the arc BOC less than a semicircumference. And every angle...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 iv. The...
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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
...segment greater than a semicircle, is an acute angle; for it has for its measure the half of the arc BOC less than a semicircumference. And every angle...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 iv. The...
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Elements of Geometry

Adrien Marie Legendre - Geometry - 1825 - 276 pages
...it has for its measure the half of the arc BOC less than a semicircumference. And every angle BO C, 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 iv. The...
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Elements of Geometry and Trigonometry

Adrien Marie Legendre - Geometry - 1836 - 394 pages
...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...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...
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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 circle,...
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Elements of Geometry

Adrien Marie Legendre - Geometry - 1841 - 288 pages
...segment greater than a semicircle, is an acute angle ; for it has for its measure the half of the arc BOC less than a semicircumference. And every angle...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 iv. The...
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Elements of Geometry: On the Basis of Dr. Brewster's Legendre : to which is ...

James Bates Thomson - Geometry - 1844 - 268 pages
...GEOMETRY. B angle ; 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...
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