 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
 | Henry W. Keigwin - 1897 - 254 σελίδες
...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 σελίδες
...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... | |
 | 1898 - 228 σελίδες
...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 - 1898 - 284 σελίδες
...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 - 1898 - 250 σελίδες
...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 - 1899 - 39 σελίδες
...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 - 1899 - 266 σελίδες
...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 - 1899 - 424 σελίδες
...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 - 1899 - 450 σελίδες
...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 - 1902 - 306 σελίδες
...(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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