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Practical plane and solid geometry for advanced students, including graphic statics, adapted to the requirements of the South Kensington syllabus (1899)

Harrison, Joseph, Baxandall, George Albert · London Macmillan · leaf 104

An illustration from Practical plane and solid geometry for advanced students, including graphic statics, adapted to the requirements of the South Kensington syllabus, 1899, leaf 104
will trace the ellipse. It will be noticed that the angle ijj (or iPj) is equal tothe complement of the angle ICJ, and that the lengths ofPi and Pj are respectively equal to the perpendiculardistances of/and/from the conjugate diameters. Proof.—The point Gx is the instantaneous centre of rotation… … 89. Problem.—Having given the curve of an ellipse,to determine the principal axes. (No figure.) First Method.—Draw any two chords, PP, QQ, parallelto each other. Draw the line bisecting these chords andmeeting the curve in /, I, then IP is a diameter, and C,its middle point, is the centre of the…

Geometry, Descriptive -- Problems, exercises, etc · Geometry, Plane -- Problems, exercises, etc · Graphic methods

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