## Constructive geometry of plane curves |

### Inni boken

Side 28

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**A circle is a plane figure contained by one line , which is called the circumference , and is such , that all**straight lines drawn from a certain point within the figure to the circumference are equal to one another : and this point is ...### Innhold

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### Andre utgaver - Vis alle

Constructive Geometry of Plane Curves: With Numerous Examples Thomas Henry Eagles Uten tilgangsbegrensning - 1885 |

Constructive Geometry of Plane Curves: With Numerous Examples Thomas Henry Eagles Uten tilgangsbegrensning - 1885 |

Constructive Geometry of Plane Curves: With Numerous Examples Thomas Henry Eagles Uten tilgangsbegrensning - 1885 |

### Vanlige uttrykk og setninger

anharmonic ratio asymptotes auxiliary circle bisects the angle centre of similitude centre point chord of contact circle centre circles touching conic Conic Sections conjugate diameters conjugate points construction corresponding cutting cutting CB describe a circle describe an ellipse describe an hyperbola determined draw a parabola ellipse equal foci focus F given circle given Fig given lines given point given straight line given tangent harmonic mean homographic involution latus rectum length line joining locus major axis mean proportional meet the directrix opposite sides ordinate parallel pencil perpendicular plane point of contact point of intersection polar PROBLEM Prop radical axis radius rectangle reduces to Prob right angle second focus segments shew shewn similar triangles Similarly tangent PT three given vertex vertices

### Populære avsnitt

Side 11 - ... the first is to the third as the difference between the first and second is to the difference between the second and third, the quantities a, b, c, are said to be in harmonical proportion.

Side 26 - A circle is a plane figure contained by one line, which is called the circumference, and is such that all straight lines drawn from a certain point within the figure to the circumference, are equal to one another.

Side 358 - TRIGONOMETRY. By Rev. JB LOCK, MA, Senior Fellow, Assistant Tutor and Lecturer in Mathematics, of Gonville -and Caius College, Cambridge ; late Assistant-Master at Eton. Globe 8vo.

Side 358 - AND BESSEL'S FUNCTIONS. Crown 8vo. WILSON (JM)— ELEMENTARY GEOMETRY. Books I. to V. Containing the Subjects of Euclid's first Six Books. Following the Syllabus of the Geometrical Association. By JM WILSON, MA, Head Master of Clifton College. New Edition. Extra fcap. 8vo. 4?.

Side 287 - AB describe a segment of a circle containing an angle equal to the given angle, (in.

Side 125 - The problem therefore is reduced to finding the centre of a circle to touch externally two given circles (DG, EG) and pass through a given point (Q), which is always possible since the circles must cut each other and Q lie outside both, ie the problem reduces to Prob. 32. [Draw a common tangent EDM to the two circles meeting fP in M.

Side 358 - SOLID GEOMETRY AND CONIC SECTIONS. With Appendices on Transversals and Harmonic Division. For the Use of Schools. By JM WILSON, MA New Edition. Extra fcap. 8vo. 3-r. 6d. WILSON— GRADUATED EXERCISES IN PLANE TRIGONOMETRY.

Side xi - Upon a given straight line to describe a segment of a circle, which shall contain an angle equal to a given rectilineal angle.

Side 30 - 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.

Side 97 - 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.