Constructive geometry of plane curves |
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Side 2
... coincides with the other , when the line can be drawn , and care must be taken that the line passes accurately through both points , as owing to the thickness of the edge of the square it is quite possible to make a slight but quite ...
... coincides with the other , when the line can be drawn , and care must be taken that the line passes accurately through both points , as owing to the thickness of the edge of the square it is quite possible to make a slight but quite ...
Side 30
... coincides with P each of these angles becomes a right angle , i . e . the tangent at P will be perpendicular to OP . 1 1 To draw a tangent to the given circle from an external point Q. Join OQ and on it as diameter describe a circle ...
... coincides with P each of these angles becomes a right angle , i . e . the tangent at P will be perpendicular to OP . 1 1 To draw a tangent to the given circle from an external point Q. Join OQ and on it as diameter describe a circle ...
Side 32
... coincides with the first , and the triangle is called a self - conjugate triangle . PROBLEM 21. ( Fig . 21. ) To describe a circle to pass through two given points and touch a given straight line , lying outside the points . Let A and B ...
... coincides with the first , and the triangle is called a self - conjugate triangle . PROBLEM 21. ( Fig . 21. ) To describe a circle to pass through two given points and touch a given straight line , lying outside the points . Let A and B ...
Side 59
... coincides with FP , the line FS drawn from the focus to the point in which the tangent at P meets the directrix , must be perpendicular to FP . The triangle SFP is therefore equal and similar to the triangle SMP . Hence the tangent at ...
... coincides with FP , the line FS drawn from the focus to the point in which the tangent at P meets the directrix , must be perpendicular to FP . The triangle SFP is therefore equal and similar to the triangle SMP . Hence the tangent at ...
Side 94
... coincides with the axis of the original parabola and with the latus rectum = 2.1 units . 17. Draw a parabola to touch the three sides of a given triangle , one of them at its middle point ; and shew that the per- pendiculars drawn from ...
... coincides with the axis of the original parabola and with the latus rectum = 2.1 units . 17. Draw a parabola to touch the three sides of a given triangle , one of them at its middle point ; and shew that the per- pendiculars drawn from ...
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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
AC² anharmonic ratio asymptotes auxiliary circle bisects the angle centre point chord of contact circle centre circles touching cone conic conic section conjugate diameters conjugate points construction corresponding curve being given cutting cutting CB describe a circle describe an ellipse describe an hyperbola determined draw a parabola ellipse equal fixed point foci focus F given circle given Fig given lines given point given tangent harmonic mean homographic involution latus rectum length line joining locus major axis mean proportional meet the directrix opposite sides ordinate pass pencil perpendicular point of contact point of intersection polar pole PROBLEM Prop radical axis radius reduces to Prob right angle second focus segment 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.