 | Fletcher Durell - Geometry - 1911 - 553 pages
...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 263e An angle formed by two chords Intersecting ivithin a circumference is... | |
 | Isaac Newton Failor - Geometry - 1906 - 440 pages
...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. 3). For the first Z is measured by an arc less than a quadrant, and the second is measured... | |
 | Isaac Newton Failor - Geometry - 1906 - 431 pages
...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. 3). For the first Z is measured by an arc less than a quadrant, and the second is measured... | |
 | Grace Lawrence Edgett - Geometry - 1909 - 104 pages
...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 to a third chord at its extremities are equal. 9. Two parallel chords... | |
 | George Albert Wentworth, David Eugene Smith - Geometry, Plane - 1910 - 287 pages
...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. 5. 217. COROLLARY 3. Angles inscribed in the same segment or in equal segments... | |
 | Clara Avis Hart, Daniel D. Feldman - Geometry - 1912 - 504 pages
...given hypotenuse as base is the circumference having the same hypotenuse as diameter. 369. Cor. IV. Any 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.... | |
 | George Albert Wentworth, David Eugene Smith - Geometry - 1913 - 496 pages
...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. 6. 217. COROLLARY 3. Angles inscribed in the same segment or in equal segments... | |
 | George Albert Wentworth, David Eugene Smith - Geometry - 1913 - 496 pages
...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. 5. 217. COROLLARY 3. Anyles inscribed in the name segment or in equal segments... | |
 | George Albert Wentworth, David Eugene Smith - Geometry - 1913 - 491 pages
...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. 5. 217. COROLLARY 3. Angles inscribed in the same segment or in equal segments... | |
 | Jacob William Albert Young, Lambert Lincoln Jackson - Geometry, Plane - 1916 - 328 pages
...the hypotenuse of a right triangle as diameter passes through the vertex of the 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... | |
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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. 
