 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 - Σελίδα 72των George Albert Wentworth - 1881 - 250 σελίδεςΠλήρης προβολή - Σχετικά με αυτό το βιβλίο
 | Webster Wells - 1908 - 208 σελίδες
...either of the opposite int. A.] (§ 8C) 3. Since 6 is an ext. Z of A ABE, PROP. XXVII. THEOREM 98. Any point in the bisector of an angle is equally distant from the sides of the angle. Construct any Z ABC. Draw BD, the bisector of Z ABC; from any point P in the bisector, draw lines PM... | |
 | Webster Wells - 1908 - 336 σελίδες
...either of the opposite int. 4.] (§ 80) 3. Since b is an ext. Z of A ABE, PROP. XXVII. THEOREM 98. Any point in the bisector of an angle is equally distant from the sides of the angle. Construct any Z ABC. Draw BD, the bisector of ZABC; from any point P in the bisector, draw lines PM... | |
 | Webster Wells - 1909 - 154 σελίδες
...CD, respectively. Also drop perpendicular KT to YY1, and connect T with J and L. Then, TJ= TL. (Any point in the bisector of an angle is equally distant from the sides of the angle.) § 98. 2. Since MN±. to plane of AB and CD, Z KTJ= Z KTL = rt. Z. (If two planes are perpendicular... | |
 | George William Myers - 1910 - 304 σελίδες
...PE4=PF. QED 1. Repeat the proof taking P on the left of B D. PROPOSITION XI 213. Theorem: Any point on the bisector of an angle is equally distant from the sides of the angle. Prove. (See FYM, § 294.) Using this conclusion and Proposition X, what can be said about the location... | |
 | 1911 - 192 σελίδες
...One question may be omitted. (In solving problems use for n the approximate value 3^.) 1. Prove that every point in the bisector of an angle is equally distant from the sides of the angle. State the converse of this proposition. Is this converse true? 2. Prove that an angle formed by two... | |
 | United States. Office of Education - 1911 - 1154 σελίδες
...angles of any polygon, made by producing the sides in succession, is four right angles. 2. Prove that every point in the bisector of an angle is equally distant from the sides of the angle. 3. Prove that the medians of a triangle intersect in a point which is twothirds of the length of each... | |
 | 1911 - 1030 σελίδες
...angles of any polygon, made by producing the sides in succession, is four right angles. 2. Prove that every point in the bisector of an angle is equally distant from the sides of the angle. 3. Prove that the medians of a triangle intersect In a point which is twothirds of the length of each... | |
 | Horace Wilmer Marsh - 1914 - 306 σελίδες
...large angle by drawing a line from the vertex of the large angle to the opposite side. II THEOREM 13 Every point in the bisector of an angle is equally distant from the sides of the angle. Represent by solid lines the distances* specified, and demonstrate. II THEOREM 14 Write this theorem... | |
 | John Wesley Young, Albert John Schwartz - 1915 - 250 σελίδες
...this. See also Ex. 7, § 49.) 74. We may now prove the following important proposition : Every point on the bisector of an angle is equally distant from the sides of the angle. In the figure let OE be the bisector of " ' E angle AOB, and let Pbe any point on OE. The distance... | |
 | Edward Rutledge Robbins - 1915 - 282 σελίδες
...the point is said to be equally distant from the lines. PROPOSITION XXIX. THEOREM 94. Every point hi the bisector of an angle is equally distant from the sides of the angle. Proof : A PBC and PDC are rt. A. In rt. A PBC and PDC, PC=PC (Iden.). ZPCB = ZPCD (Hyp.). .-. A PBC... | |
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