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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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Plane and Solid Geometry

George Albert Wentworth - Geometry - 1904 - 496 pages
...semicircumference (Fig. 4). 291. COR. 2. An angle inscribed in a segment greater than a semieircle is an 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 than...
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Plane and Solid Geometry

Isaac Newton Failor - Geometry - 1906 - 431 pages
...is a right angle * (AA, B, Fig. 2). For it is measured by half a semicircumference. 278 COROLLARY 3. An angle inscribed in a segment greater than a semicircle is an acute angle (ZA, Fig. 3) ; and an angle inscribed in a segment less than a semicircle is an obtuse angle (ZB, Fig....
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Plane and Solid Geometry

Isaac Newton Failor - Geometry - 1906 - 440 pages
...is a right angle* (AA, B, Fig. 2). For it is measured by half a semicircumference. 278 COROLLARY 3. An angle inscribed in a segment greater than a semicircle is an acute angle (ZA, Fig. 3) ; and an angle inscribed in a segment less than a semicircle is an obtuse angle (ZB, Fig....
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Exercises in Geometry

Grace Lawrence Edgett - Geometry - 1909 - 104 pages
...to one half the radius. 5. Angles inscribed in the same segment or in equal segments are equal. 6. An angle inscribed in a segment greater than a semicircle is an acute angle. 7. An angle inscribed in a segment less than a semicircle is an obtuse angle. 8. Two chords drawn perpendicular...
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Wentworth's Plane Geometry

George Albert Wentworth, David Eugene Smith - Geometry, Plane - 1910 - 287 pages
...semicircle is a right angle. For it is half of a central straight angle, as in Fig. 4. 216. COROLLARY 2. An angle inscribed in a segment greater than a semicircle is an acute angle, and an angle inscribed in a segment less than a semicircle is an obtuse angle. See AA and B in Fig....
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Plane Geometry

Clara Avis Hart, Daniel D. Feldman - Geometry, Modern - 1911 - 332 pages
...angle inscribed in a segment less than a semicircle is an obtuse angle. (See Fig. 3.) 370. Cor. V. Any angle inscribed in a segment greater than a semicircle is an acute angle. (See Fig. 3.) Ex. 480. If an inscribed angle contains 24 angle degrees, how many arc degrees are there...
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Plane Geometry

William Betz, Harrison Emmett Webb, Percey Franklyn Smith - Geometry, Modern - 1912 - 360 pages
...measured by half a semicircle (Fig. 4). See also 262. 287. COROLLARY 2. An angle inscribed in an arc greater than a semicircle is an acute angle. For it is measured by one half an arc less than a semicircle ; as /.A (Fig. 5). A FIG. 4 FIG. 5 288. COROLLARY 3. An angle...
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Plane Geometry

William Betz, Harrison Emmett Webb - Geometry, Modern - 1912 - 368 pages
...measured by half a semicircle (Fig. 4). See also 262. 287. COROLLARY 2. An angle inscribed in an arc greater than a semicircle is an acute angle. For it is measured by one half an arc less than a semicircle ; as /A (Fig. 5). A FIG. 4 FIG. 5 288. COROLLARY 3. An angle...
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Plane and Solid Geometry

George Albert Wentworth, David Eugene Smith - Geometry - 1913 - 491 pages
...semicircle is a right angle. For it is half of a central straight angle, as in Fig. 4. 216. COROLLARY 2. An angle inscribed in a segment greater than a semicircle is an acute angle, and an angle inscribed in a segment less than a semicircle is an obtuse angle. See AA and B in Fig....
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Plane and Solid Geometry

George Albert Wentworth, David Eugene Smith - Geometry - 1913 - 496 pages
...semicircle is a right angle. For it is half of a central straight angle, as in Fig. 4. 216. COROLLARY 2. An angle inscribed in a segment greater than a semicircle is an acute angle, and an angle inscribed in a segment less than a semicircle is an obtuse angle. See AA and B in Fig....
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