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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
...therefore the angle BAD is a right angle. B Fig. 66. 129. Corollary in. Every angle BAC (Jig. 66), inscribed in a segment greater than a semicircle, is an acute angle : Tor it has tor its measure the half of the arc BOC less than a semicircumferencc. And every angle...
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Elements of Geometry and Trigonometry: With Notes

Adrien Marie Legendre - Geometry - 1822 - 367 pages
...right angles ; therefore BAD is equal to one. Cor. 3. Every angle BAG (see the diagram of Cor. 1.) inscribed in 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 BOC, inscribed in a segment...
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Elements of Geometry

Adrien Marie Legendre - Geometry - 1825 - 224 pages
...there- y fore the angle BAD is a right angle. Fig. 68. 129. Corollary m. Every angle BAC (Jig. 66), inscribed in a 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 BOC, inscribed...
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Elements of Geometry

Adrien Marie Legendre - 1825 - 570 pages
...; therefore the angle BAD is a right angle. Fig. 66. 129. Corollary in. Every angle BAC (Jig. 66), inscribed in a 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 BOC, inscribed...
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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
...; therefore the angle BAD is a right angle. Fig. 66. 129. Corollary HI. Every angle BAC (fig. G6), inscribed in a 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 BOC, inscribed...
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Elements of Geometry and Trigonometry

Adrien Marie Legendre - Geometry - 1836 - 359 pages
...semicircumference BOD, „ that is, by the fourth part of the .wjiole 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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An Elementary Treatise on Plane and Solid Geometry

Benjamin Peirce - Geometry - 1837 - 216 pages
...measure the half of the. semicircumfcrence BED, or a quadrant. 109. Corollary. Every angle BAC (fig. 50) inscribed in a * segment greater than a semicircle is an acute angle, for it has for its measure the half of an arc BEC less than a semicircumference. 110. Corollary. Every angle...
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Elements of Geometry

Adrien Marie Legendre - Geometry - 1841 - 235 pages
...; therefore the angle BAD is a right angle. Fig. 66. 129. Corollary in. Every angle BAC (fig. 66), inscribed in a 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 BOC, inscribed...
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An Introduction to Geometry and the Science of Form: Prepared from the Most ...

Anna Cabot Lowell - Geometry - 1846 - 161 pages
...measured by the half of an arc greater than a semi-circumference. 176. Cor. 4. Every angle, as ABC, ABD, inscribed in a segment greater than a semi-circle is an acute angle, for it is measured by the half of an arc less than a semi-circumference. 177. Cor. 5. In every quadrilateral inscribed in...
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An Elementary Treatise on Plane and Solid Geometry

Benjamin Peirce - Geometry - 1847 - 150 pages
...measure the half of the semicircumference BED, or a quadrant. 110. Corollary. Every angle BAC (fig. 50) inscribed in a segment greater than a semicircle is an acute angle, for it has for its measure the half of an arc It EC less than a semicircumference. 111. Corollary. Every angle...
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