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Principles of modern geometry, with numerious applications to plane and spherical figures; and an appendix, containing questions for exercise. Intended chiefly for the use of junior students (1862)

Mulcahy, John, 1810?-1853 · Dublin Hodges, Smith · leaf 54

An illustration from Principles of modern geometry, with numerious applications to plane and spherical figures; and an appendix, containing questions for exercise. Intended chiefly for the use of junior students, 1862, leaf 54
ectangles under perpendicularson it from each pair of opposite angles, are in a constant ratio. If, as before, the points A and B become coincident, and alsoC and D, we have the following theorem : If two fixed tangentsbe drawn to a circle, and also a third variable tangent, and ifperpendiculars be… … 44 PROBLEMS RELATING TO THE THEORY OF POLARS. PROBLEMS RELATING TO THE THEORY OF POLARS. 48. We shall now exemplify the use of the theory of polarsin the solution of problems. 1°. From a given point O, without a given circle, let a secantbe drawn, cutting the circle in P and Q,and let a portion,…

Geometry -- Problems, exercises, etc · Geometry

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