 | Elias Loomis - Geometry - 1871 - 302 pages
...semicircle is an acute angle, for it is measured by half an arc less than a semicircumference. Every angle inscribed in a segment less than a semicircle is an obtuse angle, for it is measured by half an arc greater than a semicircumference. Cor. 4. The opposite angles of an inscribed quadrilateral,... | |
 | Benjamin Greenleaf - Geometry - 1873 - 202 pages
...for it is measured by the half of the arc BOC, less than a semi-circumference. And every angle, BOC, inscribed in a segment less than a semicircle, is an obtuse angle ; for it is measured by half of the arc BAC, greater than a semi-circumference. 164. Cor. 4. The opposite angles, A and D,... | |
 | Benjamin Greenleaf - Geometry - 1874 - 206 pages
...for it is measured by the half of the arc BOC, less than a semi-circumference. And every angle, BOG, inscribed in a. segment less than a semicircle, is an obtuse angle ; for it is measured by half of the arc BAC, greater than a semi-circumference. 164. Cor. 4. The opposite angles, •A• and... | |
 | John Reynell Morell - 1875 - 220 pages
...angle, for it has for measure half the are BOC, less than a semi-circumference ; and every angle BOC inscribed in a segment less than a semicircle is an obtuse angle, for it has for measure half the arc BAC, greater than a semi-circumference. COROLLARY IV. — Every angle... | |
 | William Henry Harrison Phillips - Geometry - 1878 - 236 pages
...the arc, the angle AGB >ADB (I., 19). CoR. 3. An angle inscribed in a semicircle is a right angle ; an angle inscribed in a segment less than a semicircle is an obtuse angle ; and an angle inscribed in a segment greater than a semicircle is an acute angle. COR. 4. In an inscribed... | |
 | Charles Scott Venable - 1881 - 380 pages
...for it is measured by the half of the arc BOC, less than a semi-circumference. And every angle, BOC, inscribed in a segment less than a semi-circle is an obtuse angle ; for it is measured by the half of the arc BAC, greater than a semi-circumference. COR. 4. The opposite angles, A and C, of... | |
 | George Albert Wentworth - Geometry, Modern - 1882 - 268 pages
...semicircle is a right angle, for it is measured by one-half a semi-circumference, or by 90°. 205. COR. 2. An angle inscribed in a segment greater than a...207. COR. 4. All angles inscribed in the same segment aro equal, for they are measured by one-half the same arc. PROPOSITION XV. THEOREM. 208. An angle formed... | |
 | George Albert Wentworth - Geometry - 1888 - 264 pages
...acute angle. For it is measured by an arc less than half a semi-circumference ; as, Z CAD. Fig. 2. 266. COR. 3. An angle inscribed in a segment less than...obtuse angle. For it is measured by an arc greater than half a semi-circumference ; as, Z CBD. Fig. 2. PROPOSITION XVIII. THEOREM. 268. An angle formed by... | |
 | George Albert Wentworth - Geometry - 1890 - 296 pages
...angle. For it is measured by an arc less than half a semi-circumference; as, Z CAD. Fig. 2. 266. COE. 3. An angle inscribed in a segment less than a semicircle...obtuse angle. For it is measured by an arc greater than half a semi-circumference ; as, Z CBD. Fig. 2. PROPOSITION XVIII. THEOREM. 268. An angle formed by... | |
 | Edward Albert Bowser - Geometry - 1890 - 418 pages
...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 than a semicircle, is an obtuse angle; for it is measured by onehalf the arc BAC, which is greater than a quadrant. 242. COR. 4. The opposite angles of an inscribed... | |
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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. 
