## An Elementary Course in Analytic Geometry |

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This is an 1898 copyrighted publication, not 1808.

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Awwwwwsum!!!!...book.... helped me a lot.:)

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### Common terms and phrases

abscissa analytic angle axes axis becomes called CHAPTER chord circle circle x2 coincident condition conic constant Construct coördinate axes coördinates corresponding curve definition derived determined diameter direction directrix distance draw drawn ellipse equa equal example EXERCISES expressed figure Find the equation focus formulas function geometric given point gives hence hyperbola joining known length loci locus means meet method moves negative normal Note obtained origin P₁ pair parabola parallel passes perpendicular plane points of intersection polar pole positive problem projection properties Prove radius ratio rectangular reduces referred regard relation represents respectively result satisfy Show shown side slope Solve square standard form straight line Substituting taken tangent tion traced transformation triangle values variables vertex vertices written x-axis y-axis

### 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.