An Elementary Course in Analytic Geometry |
Contents
11 | |
12 | |
13 | |
15 | |
17 | |
18 | |
19 | |
20 | |
21 | |
24 | |
25 | |
27 | |
28 | |
33 | |
35 | |
36 | |
40 | |
42 | |
44 | |
46 | |
52 | |
53 | |
61 | |
63 | |
64 | |
65 | |
66 | |
67 | |
70 | |
73 | |
76 | |
77 | |
80 | |
81 | |
83 | |
84 | |
85 | |
86 | |
87 | |
88 | |
89 | |
91 | |
94 | |
95 | |
97 | |
98 | |
101 | |
107 | |
108 | |
110 | |
111 | |
131 | |
135 | |
136 | |
141 | |
145 | |
151 | |
157 | |
169 | |
170 | |
177 | |
179 | |
186 | |
190 | |
193 | |
195 | |
197 | |
199 | |
205 | |
208 | |
214 | |
219 | |
225 | |
229 | |
232 | |
237 | |
238 | |
249 | |
250 | |
257 | |
261 | |
265 | |
266 | |
271 | |
277 | |
285 | |
292 | |
298 | |
306 | |
312 | |
318 | |
325 | |
326 | |
332 | |
338 | |
346 | |
353 | |
360 | |
367 | |
379 | |
387 | |
Other editions - View all
Common terms and phrases
abscissa algebraic Analytic Geometry Ax² axis bisector Cartesian coördinates circle x² conic conic section constant coördinate axes corresponding curve diameter directrix ellipse equa equal equidistant EXERCISES find the coördinates Find the distance Find the equation Find the points fixed point focus formulas geometric given equation given line given point hence hyperbola initial line intercepts latus rectum length line joining line passes loci locus of equation M₁ M₂ method middle point nates normal origin P₁ and P2 P₂ pairs of values parabola y² perpendicular plane point moves point P₁ point which moves points of intersection polar coördinates polar equation pole positive projection quadrant radius ratio rectangular axes represents satisfy the equation secant line Show side slope Solve standard form straight line subtangent tangent tion trace transformation variables vertex x-axis x₁ y-axis y-intercept y₁ y₂ zero
Popular passages
Page 120 - The straight line joining the middle points of two sides of a triangle is parallel to the third side, and equal to half of it.
Page 108 - Show that the locus of a point which moves so that the sum of its distances from two h'xed straight lines is constant is a straight line.
Page 170 - Thus a parabola is the locus of a point which moves so that its distance from a fixed point is equal to its distance from a fixed straight line (see fig.
Page 179 - F') ; the diameter drawn through them is called the major axis, and the perpendicular bisector of this diameter the minor axis. It is also defined as the locus of a point which moves so that the ratio of its distance from a fixed point...
Page 67 - A conic section or conic is the locus of a point which moves so that its distance from a fixed point is in a constant ratio to its distance from a fixed straight line...
Page 240 - Art. 144 is sometimes given as the definition of the ellipse ; viz. the ellipse is the locus of a point the sum of whose distances from two fixed points is constant.
Page 122 - The line joining the middle points of two sides of a triangle is parallel to the third side and equal to half of the third side.
Page 211 - To draw that diameter of a given circle which shall pass at a given distance from a given point. 9. Find the locus of the middle points of any system of parallel chords in a circle.
Page 169 - A point moves so that the square of its distance from the base of an isosceles triangle is equal to the product of its distances from the other two sides.
Page 79 - A point moves so that the difference of the squares of its distances from two fixed points is constant. Show that the locus is a straight line. Hint. Draw XX' through the fixed points, and YY/ through their middle point.