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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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A Text-book of Geometry

George Albert Wentworth - Geometry - 1888 - 466 pages
...one-half a semi-circumference. 265. COR. 2. An angle inscribed in a segment greater than a se'nicircle is an acute angle. For it is measured by an arc less than half a semi-circumference ; as, Z OAD. Fig. 2. 266. COR. 3. An angle inscribed in a segment less than...
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Syllabus of Geometry

George Albert Wentworth - Mathematics - 1896 - 68 pages
...intercepted between its sides. 264. Cor. 1. An angle inscribed in a semicircle is a right angle. 265. Cor. 2. An angle inscribed in a segment greater than a semicircle is an acute angle. 266. Cor. 3. An angle inscribed in a segment less than a semicircle is an obtuse angle. 267. Cor. 4....
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Elements of Geometry

Andrew Wheeler Phillips, Irving Fisher - Geometry - 1896 - 570 pages
...angle (A, B, Fig. 2) inscribed in a semicircle is a right angle. 203. COR. III. An angle (A, Fig. 3) inscribed in a segment greater than a semicircle is an acute angle. 204. COR. IV. An angle (B, Fig. 3) inscribed in a segment iess than a semicircle is an obtuse angle....
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Elements of Geometry: Plane geometry

Andrew Wheeler Phillips, Irving Fisher - Geometry - 1896 - 276 pages
...angle (A, .5, Fig. 2) inscribed in a semicircle is a right angle. 203. COR. III. An angle (A, Fig. 3) inscribed in a segment greater than a semicircle is an acute angle. 204. COR. IV. An angle (B, Fig. 3) inscribed in a segment less than a semicircle is an obtuse angle....
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Plane and Solid Geometry

James Howard Gore - Geometry - 1898 - 232 pages
...for it is measured by one-half a semi-circumference, or by a quadrant. 178. COR. 3. Every angle BAC, inscribed in a segment greater than a semicircle, is an acute angle; for it is measured by one-half the arc BDC, which, is less than a quadrant. Every angle BDC, inscribed in a segment less...
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Plane Geometry

George Albert Wentworth - Geometry, Modern - 1899 - 272 pages
...inscribed in a semicircle is a right angle. For it is measured by half a semicircumference (Fig. 4). 291. COR. 2. An angle inscribed in a segment greater than...acute angle. For it is measured by an arc less than half a semicircumference; as, Z CAD (Fig. 5). 292. COE. 3. An angle inscribed in a segment less than...
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Plane and Solid Geometry

George Albert Wentworth - Geometry - 1899 - 496 pages
...inscribed in a semicircle is a right angle. For it is measured by half a semicircumference (Fig. 4). 291. COR. 2. An angle inscribed in a segment greater than...acute angle. For it is measured by an arc less than half a semicircumference; as, Z CAD (Fig. 5). • 292. COR. 3. An angle inscribed in a segment less...
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Plane and Solid Geometry

George Albert Wentworth - Geometry - 1899 - 498 pages
...in a semicircle is a right angle. For it is measured by half a semicircumference (Fig. 4). 291. COB. 2. An angle inscribed in a segment greater than a...acute angle. For it is measured by an arc less than half a semicircumference; as, Z CAD (Fig. 5). 292. COB. 3. An angle inscribed in a segment less than...
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Plane Geometry

Fletcher Durell - Geometry, Plane - 1904 - 382 pages
...one-half a semicircumference. Thus FH (Fig. 5) is a diameter .'. /.FGH is a rt. Z . . 262. COR. 3. An angle inscribed in a segment greater than a semicircle is an acute angle; an angle inscribed in a segment less than a semicircle is an obtuse angle. how many degrees PROPOSITION...
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Plane and Solid Geometry

Fletcher Durell - Geometry - 1911 - 553 pages
...by one -half a semicircumference. Thus FH (Fig. 5) is a diameter .'. ^FGHis a rt. Z . 262. COR. 3. An angle inscribed in a segment greater than a semicircle is an acute angle; an angle inscribed in a segment less than a semicircle is an obtuse angle. PROPOSITION XX. THEOREM...
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