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" ... y", and there results for the tangent the equation y — y' = ; (x — a/), as before found. which is obviously that of a perpendicular to this, through the point (a/, y',) that the tangent through any point is perpendicular to the radius at that... "
The Elements of Analytical Geometry ... - Page 104
by John Radford Young - 1835 - 288 pages
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The Geometrician: Containing Essays on Plane Geometry, and Trigonometry ...

Benjamin Donne - Geometry, Plane - 1775 - 338 pages
...Segment of a Circle to compleat the Circle. — — And to defcribe a Circle about a given A. 30. 25;. To draw a Tangent to a Circle from a given Point without it. 31' 256. To draw a Tangent from a given Point in the Circumference of the Circle. 3Z257. Upon a given...
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Elements of Geometry, Geometrical Analysis, and Plane Trigonometry: With an ...

Sir John Leslie - Geometry, Analytic - 1809 - 542 pages
...with an inflected line equal to that in the alternate segment, it touches the circle. PROP. XXX. PROB, To draw a tangent to a circle from a given point without it. Let A be a given point, from which it is required to draw a straight line that shall touch the circle DGH....
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Elements of Geometry, Geometrical Analysis, and Plane Trigonometry: With an ...

Sir John Leslie - Geometry, Plane - 1809 - 522 pages
...with an inflected line equal to that in the alternate segment, it touches the circle. PROP. XXX. PROB. To draw a tangent to a circle from a given point without it. Find the centre C (HI. 6. cor.), join CA and draw DE perpendicular to CA (I. 5. cor.), from C with...
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Elements of Geometry and Plane Trigonometry: With an Appendix, and Copious ...

Sir John Leslie - Geometry - 1817 - 456 pages
...passes into EBD, and the angle of the opposite or alternate segment becomes BAE. PROP. XXII. PROB. To draw a tangent to a circle, from a given point without it. Let A be a given point, from which it is fequired to draw a straight line that shall touch the circle DGH....
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Elementary Illustrations of the Celestial Mechanics of Laplace: Part the ...

Pierre Simon marquis de Laplace, Thomas Young - Capillarity - 1821 - 402 pages
...lesser segment CA, is equal to the complement of ABC to two right angles, or to CAE. 135. PROBLEM. To draw a tangent to a circle from a given point without it. Join AB, bisect it in C, and on C draw a circle, with the radius CB, intersecting the former circle...
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Elements of Geometry: Being Chiefly a Selection from Playfair's Geometry

John Playfair - Geometry - 1829 - 210 pages
...For the angle CBF is in a semicircle, and therefore is aright jingle; therefore FB is perp. to AB. 3. To draw a tangent to a circle from a given point without it. Let DGH be the given circle, and A any point without it, from which it is required to draw a tangent. Find...
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The Elements of Analytical Geometry: Comprehending the Doctrine of the Conic ...

John Radford Young - Conic sections - 1830 - 342 pages
...as before found. Since the equation of the line drawn from the origin through the point (/, y') is perpendicular to this, through the point (x', y\)...to a circle from a given point without it. Let (a, i) characterize the given point, P, when referred to rectangular axes originating at the centre, then...
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The Elements of Analytical Geometry: Comprehending the Doctrine of the Conic ...

John Radford Young - Conic sections - 1830 - 390 pages
...as before found. Since the equation of the line drawn from the origin through the point (a', y') is perpendicular to this, through the point (x', y',)...to a circle from a given point without it. Let (a, b) characterize the given point, P, when referred to rectangular axes originating at the centre, then...
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The Elements of Analytical Geometry ...

John Radford Young - Conic sections - 1833 - 310 pages
...the origin through the y' which is obviously that of a perpendicular to this, through the point (a/, y',) that the tangent through any point is perpendicular...to a circle from a given point without it. Let (a, b,) characterize the given point, P, when referred to rectangular axes originating at the centre, then...
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An Analytical System of Conic Sections: Designed for the Use of Students

Henry Parr Hamilton - Mathematics - 1834 - 272 pages
...straight line drawn from the centre to the point of contact is at right angles to the tangent. 43. To draw a tangent to a circle from a given point without it. Let x", y" be the co-ordinates of the given point, and x', y' the unknown co-ordinates of the point of...
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