Every point in the bisector of an angle is equally distant from the sides of the angle ; and every point not in the bisector, but within the angle, is unequally distant from the sides of the angle. Elements of Geometry - Page 72by George Albert Wentworth - 1881 - 250 pagesFull view - About this book
| George Albert Wentworth - Geometry - 1877 - 416 pages
...many sides has the polygon the sum of whose exterior angles is double that of its interior angles ? 7. **Every point in the bisector of an angle is equally...unequally distant from the sides of the angle. 8.** BAC is a triangle having the angle B double the angle A. If BD bisect the angle B, and meet AC in D,... | |
| George Albert Wentworth - Geometry - 1877 - 416 pages
...sides has the polygon the sum of whose exterior angles is double that of its interior angles? < 7. **Every point in the bisector of an angle is equally...is unequally distant from the sides of the angle.** |'.£ fj 8. BA С is a triangle having the angle B double the angle A. If BD bisect the angle B, and... | |
| William Frothingham Bradbury - Geometry - 1877 - 262 pages
...ABE and EBD> CBD (26) ; much more then isABC>CBD. THEOREM XXI. 103. Every point in a line bisecting **an angle is equally distant from the sides of the angle ; and every point** without the bisecting line but within the angle is unequally distant from tlie sides of the angle.... | |
| George Albert Wentworth - 1879 - 196 pages
...is double that of its interior angles? In this case 4 («— 2) = 4. .'. « = 3. Ex. 7. Every pokit **in the bisector of an angle is equally distant from...is unequally distant from the sides of the angle.** I. Let A be the given Z, and AB its bisector. From any point in AB, as O, draw OC and OD _L to the... | |
| William Frothingham Bradbury - Geometry - 1880 - 260 pages
...ABE and EBD> CBD (26); much more then isABC>CBD. THEOREM XXI. 103i Every point in a line bisecting **an angle is equally distant from the sides of the angle; and every point** without the bisecting line but within the angle is unequally distant from the sides of the angle. 1st.... | |
| Simon Newcomb - Geometry - 1881 - 418 pages
...from the extremities of a line lies upon the perpendicular bisector of the line. THEOREM XVIII. 106. **Every point in the bisector of an angle is equally...distant from the sides of the angle; and every point** within the angle, but not on the bisector, is nearer that side toward which it lies. Hypothesis. MON,... | |
| Franklin Ibach - Geometry - 1882 - 208 pages
...or BO AB. (98) (Ax. 11) QED ELEMENTS OF PLANE GEOMETRY. BISECTORS OF ANGLES. THEOREM XXXV. 101. Any **point in the bisector of an angle is equally distant from the sides of the angle.** Let BF be the bisector of the Z. ABC, P any point in it, and PD and PE _Ls to AB and EC. To prove that... | |
| George Albert Wentworth - Geometry - 1884 - 422 pages
...many sides has the polygon the sum of whose exterior angles is double that of its interior angles ? 7. **Every point in the bisector of an angle is equally...angle, is unequally distant from the sides of the** Jingle. 8. BA С is a triangle having the angle B double the angle A. If BD bisect the angle B, and... | |
| F. B. Stevens - Examinations - 1884 - 202 pages
...cylinder and sphere. September, 1883. [State what text-book you have studied, and to what extent.] 1. **Every point in the bisector of an angle is equally...distant from the sides of the angle ; and every point** within the angle, but not on the bisector, is nearer that side toward which it lies. 2. If the sum... | |
| Lewis Carroll - Geometry - 1885 - 318 pages
...I. 29. I see several Propositions which might well be inserted as exercises on Euclid (eg Pr. xxxix, **'Every point in the bisector of an angle is equally distant from the sides** '), but which are hardly of sufficient importance to be included as Propositions : and others (eg Pr.... | |
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