| Benjamin Greenleaf - Geometry - 1873 - 202 pages
...semi-circumference, BOD; that is, by the fourth part of the whole circumference. 163. COT.. 3. Every angle, BAC, **inscribed in a segment greater than a semicircle, is an acute angle ; for it is measured by** the half of the arc BOC, less than a semi-circumference. And every angle, BOC, inscribed in a segment... | |
| Benjamin Greenleaf - Geometry - 1874 - 206 pages
...semi-circumference, BOD ; that is, by the fourth part of the whole circumference. 163. Cor. 3. Every angle, BAC, **inscribed in a segment greater than a semicircle, is an acute angle ; for it is measured by** the half of the arc BOC, less than a semi-circumference. And every angle, BOG, inscribed in a. segment... | |
| John Reynell Morell - 1875 - 220 pages
...for it has as measure half the semicircumference, or a quadrant. COROLLARY III. — Every angle BAC **inscribed in a segment greater than a semi-circle is an acute angle, for it** has for measure half the are BOC, less than a semi-circumference ; and every angle BOC inscribed in... | |
| Aaron Schuyler - Geometry - 1876 - 384 pages
...one-half of a semi-circumference ; that is, by a quadrant which is the measure of a right angle. 3. Any **angle inscribed in a segment greater than a semicircle is an acute angle.** (?) 4. An angle inscribed in a segment tea than a semicircle is an dbtuse angle. (?) ~>. Two inscribed... | |
| Wm. H. H. Phillips - Geometry - 1878 - 236 pages
...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 quadrilat- j eral, ABCD, two opposite angles, A and C, are together equal to... | |
| George Albert Wentworth - 1881 - 266 pages
...I.) .-.Z PBF-¿ РПA is measured by £ (arc PF— arc PA). .-. ZABF is measured by ¿ arc A F. QED **204. COROLLARY 1. An angle inscribed in a semicircle...angle inscribed in a segment less than a semicircle** is an obtuse angle, for it is measured by an arc greater than one-half a semi-circumference ; ie by... | |
| Charles Scott Venable - 1881 - 380 pages
...by a reference to the Theorem 33, Exercises on Book I. COR. 3. Every angle, BAC (See Fig., Cor. 1), **inscribed in a segment greater than a semi-circle is an acute angle, for it is measured by** the half of the arc BOC, less than a semi-circumference. And every angle, BOC, inscribed in a segment... | |
| George Albert Wentworth - Geometry, Modern - 1879 - 262 pages
...is measured by\pne-half a semi-circumference, or by 90°. Ljf) 205. COR. 2. An angle inscribe?R*rra **segment greater than a semicircle is an acute angle...angle inscribed in a segment less than a semicircle** is an obtuse angle, for it is measured by an arc greater than one-half a semi-circumference ; ie by... | |
| George Albert Wentworth - Geometry - 1888 - 264 pages
...inscribed in a semicircle is a right angle. For it is measured by one-half a semi-circumference. 265. **COR. 2. An angle inscribed in a segment greater than...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... | |
| Edward Albert Bowser - Geometry - 1890 - 420 pages
...measured by one-half a semi-circumference, or by a quad- A rant. (237) 241. 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 than... | |
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