 | William Chauvenet - 1871 - 380 pagina’s
...parallelograms, we have Ab = A'B', Bo = B'C', Cd — C'D'; therefore, PROPOSITION XXXIX.— THEOREM. 126. 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. 1st. Let... | |
 | William Chauvenet - 1872 - 382 pagina’s
...Ab = A'B', Be = B'C', Cd = C'D'; therefore, A'B' = B'C' = C'D'. PROPOSITION XXXIX.— THEOREM. 126. 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. 1st. Let... | |
 | William Frothingham Bradbury - 1872 - 88 pagina’s
...the centre, and DF the radius, of the required circumference. For, as shown in (16), a line bisecting an angle is equally distant from the sides of the angle, and hence С Е, В F are tangents to the circumference whose radius is DF and centre Z>. BOOK VI. It С... | |
 | L J V. Gerard - 1874 - 428 pagina’s
...of section are symmetric to the bisectrix, and conversely. THEOREM 10. Each point of the bisectrix of an angle is equally distant from, the sides of the angle, Let ABC be an angle and B 0 its bisectrix. From any point O of the bisectrix BO let there be drawn... | |
 | William Chauvenet - 1875 - 390 pagina’s
...parallelograms, we have Ab = A'B', Be — B'C', Cd = C'D'; therefore, PROPOSITION XXXIX.— THEOREM. 126. I/very 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 th& angle, is unequally distant from the sides of the angle. 1st. Let... | |
 | 1876 - 646 pagina’s
...Sphere. GEOMETRY. SKPTEMBEK, 1883. [State what text-book you have studied, and to what extent.] 1. Every point in the bisector of an angle is equally...bisector, is nearer that side toward which it lies. 2. If the sum of two opposite angles of a quadrilateral is equal to two right angles, the vertices... | |
 | Aaron Schuyler - 1876 - 384 pagina’s
...is parallel to the bases, and equal to one-half their sum. (?) 105. Proposition XLVII.— Theorem. Every point in the bisector of an angle is equally distant from the sides of the angle. Let E be any point of AD, the bisector of the angle BAC, and EF, EG, the perpendiculars from E to AB,... | |
 | George Albert Wentworth - 1877 - 416 pagina’s
...sides has the polygon the sum of whose exterior angles is double that of its interior angles t Ч 7. 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. 8. BA С... | |
 | William Frothingham Bradbury - 1877 - 262 pagina’s
...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 pagina’s
...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 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. I. Let... | |
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Every point in the bisector of an angle is equally distant from the sides of the angle... 
