Constructive Geometry of Plane Curves: With Numerous ExamplesMacmillan and Company, 1885 - 374 páginas |
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Otras ediciones - Ver todas
Constructive Geometry of Plane Curves: With Numerous Examples Thomas Henry Eagles Vista completa - 1885 |
Constructive Geometry of Plane Curves: With Numerous Examples Thomas Henry Eagles Vista completa - 1885 |
Términos y frases comunes
AC² asymptote auxiliary circle BC² bisects the angle CA² CB² centre point chord of contact circle centre circle to touch circles touching conic Conic Sections conjugate diameters construction curve being given cutting cutting CB describe a circle describe an ellipse describe an hyperbola determined draw a parabola equal exterior angle F draw foci focus F given circle given Fig given lines given point given tangent harmonic mean involution latus rectum length line joining locus major axis mean proportional meeting the directrix opposite sides ordinate P₁ parallel to CD pass perpendicular point of contact polar Prop radical axis radius reduces to Prob right angle second focus segment shew shewn similar triangles Similarly tangent PT touch the given vertex
Pasajes populares
Página 28 - A diameter of a circle is a straight line drawn through the centre, and terminated both ways by the circumference.
Página xi - Upon a given straight line to describe a segment of a circle, which shall contain an angle equal to a given rectilineal angle.
Página 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.
Página 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.
Página 12 - IP + ^472 or could be determined in other ways. No definite instructions can be given as to the best mode of working in any particular case, but as a rule triangles having sides of nearly equal magnitude should be selected, since the intersections of lines cutting at very acute angles cannot be accurately determined. DEFINITION. Three magnitudes are said to be in harmonic progression when the first is to the third as the difference between the first and second is to the difference between the second...
Página 151 - An hyperbola is a curve which is the locus of a point that moves in a plane so that the difference of its distances from two fixed points in the plane is constant.
Página 38 - To describe a circle which shall touch two gicen straight lines and a given circle. Draw two straight lines parallel to the given straight lines, at a distance from them equal to the radius of the given circle, and on the sides of them remote from the centre of the given circle. Describe a circle touching the straight lines thus drawn, and passing through the centre of the given circle (7). A circle having the same centre as the circle thus described, and a radius equal to the excess of its radius...