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angle asymptotes axis base bisects the angle called centre chord circle coincides cone conic constant construction corresponding course curve cutting describe describe a circle determined diameter direction directrix distance divided draw drawn ellipse equal evidently extremities figure fixed foci focus follows formed four given circle given Fig given lines given point given tangent harmonic Hence hyperbola internally intersection involution known length line joining locus major axis mean proportional meeting method pair parabola parallel pass pencil perpendicular plane point of contact polar pole position Prob PROBLEM produced Proof Prop radius range ratio respectively right angle segments shew shewn similar Similarly solutions square straight line Take taken tangent touch triangle vertex vertices
Pagina 28 - A diameter of a circle is a straight line drawn through the centre, and terminated both ways by the circumference.
Pagina 303 - AB describe a segment of a circle containing an angle equal to the given angle, (in.
Pagina 32 - IF from any point without a circle two straight lines be drawn, one of which cuts the circle, and the other touches it ; the rectangle contained by the whole line which cuts the circle, and the part of it without the circle, shall be equal to the square of the line which touches it.
Pagina 99 - A conic section is the locus of a point which moves so that its distance from a fixed point, called the focus, is in a constant ratio to its distance from a fixed straight line, called the directrix.
Pagina 13 - Three lines are in harmonical proportion, when the first is to the third, as the difference between the first and second, is to the difference between the second and third ; and the second is called a harmonic mean between the first and third. The expression 'harmonical proportion...