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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, David Eugene Smith - Geometry - 1913 - 500 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

William Betz - Geometry - 1916 - 536 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

Jacob William Albert Young, Lambert Lincoln Jackson - Geometry, Plane - 1916 - 328 pages
...right angle. 2. Any angle inscribed in a segment less than a semicircle is an obtuse angle. 3. Any angle inscribed in a segment greater than a semicircle is an acute angle. Throughout the following exercises, C denotes the center of the circle. In Fig. 1 : 4. Name two right...
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Essentials of Plane Geometry

David Eugene Smith - Geometry, Plane - 1923 - 314 pages
...may be shown that ZA is measured by half of what arc ? It is then what kind of Z ? 174. Corollary. 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. In giving the proof...
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Plane Geometry

William Betz, Harrison Emmett Webb, Percey Franklyn Smith - Geometry, Modern - 1912 - 356 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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