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
| Henry W. Keigwin - Geometry - 1897 - 254 pages
...a line- is equally distant from the extremities of the line. PROPOSITION XXIX. THEOREM. 121. I. Any **point in the bisector of an angle is equally distant from the** si/lcs nf the angle. II. Am/point outside tin 1 binector of an angle is unequally distant from the... | |
| Yale University - 1898 - 212 pages
...that of a cone whose base is a great circle of the sphere and whose altitude is R. JUNK 1889. P 1. **Every point in the bisector of an angle is equally...is unequally distant from the sides of the angle.** 2. To find the center of a given arc of a circle. 3. If three or more straight lines passing through... | |
| Mathematics - 1898 - 228 pages
...of a cone whose base is a great circle of the sphere and whose altitude is R. JUNE 1889. PLANE. 1. **Every point in the bisector of an angle is equally...is unequally distant from the sides of the angle.** 2. To find the center of a given arc of a circle. 3. If three or more straight lines passing through... | |
| Webster Wells - Geometry - 1898 - 284 pages
...A ABE, Z DEC >ZA Then, since Z 5,0C is > Z ZXEC, and Z DEC> Z .4, PROP. XXXV. THEOREM. 101. .4»2/ **point in the bisector of an angle is equally distant from the sides of the angle.** /A. " N Given P, any point in bisector BD of Z ABC, and lines PM and P^J. to AB and BC, respectively.... | |
| Henry W. Keigwin - Geometry - 1898 - 250 pages
...a line is equally distant from the extremities of the line. PROPOSITION* XXIX. THEOREM. 121. I. Any **point in the bisector of an angle is equally distant from the sides of the angle.** II. Any point outside the bisector of an angle is unequally distant from the sides of the angle. 122.... | |
| Harvard University - Geometry - 1899 - 39 pages
...equidistant from the extremities of a line is a line bisecting that line at right angles. THEOREM XV. **Every point in the bisector of an angle is equally...of the angle ; and every point not in the bisector** is unequally distant from the sides of the angle ; that is, the bisector of an angle is the locus of... | |
| Charles Austin Hobbs - Geometry, Plane - 1899 - 266 pages
...straight line. (?) Then ABG is an isosceles A. (?) .-. A ABC =& DEF. (?) QED Proposition 45. Theorem. 56. **Every point in the bisector of an angle is equally distant from the sides of the angle.** Hypothesis. E is any point in AD, the bisector of Z BAC, and EF and EG are _L to AB and AC respectively.... | |
| Webster Wells - Geometry - 1899 - 424 pages
...A ABE, Z DEC > Z .4. Then, since Z SZK7 is > Z D-EC, and Z D£C > ZA, PROP. XXXV. THEOREM. 101. Any **point in the bisector of an angle is equally distant from the sides of the angle.** Given P, any point in bisector BD of Z ABC, and lines PM and PN± to AB and BC, respectively. To Prove... | |
| Webster Wells - Geometry - 1899 - 450 pages
...an ext. Z of A ABE, Then, since Z .BZK7 is > Z DEC, and Z D-EC > Z .4, PROP. XXXV. THEOREM. 101. Any **point in the bisector of an angle is equally distant from the sides of the angle.** /A N Given P, any point in bisector BD of Z ABC, and lines PM and PN ± to AB and AC, respectively.... | |
| Charles Hamilton Ashton - Geometry, Analytic - 1902 - 306 pages
...(1) A,x. and (2) A,* and let (x', y') be any point on the bisector of the angle between them. Since **every point in the bisector of an angle is equally distant from the sides,** HP' and KP' are numerically equal. But Hence the relation which must exist between x' and y' in order... | |
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