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A school geometry. containing the substance of Euclid books II anfd III and part of book IV (1917)

Hall, H. S. (Henry Sinclair), 1848-1934, Stevens, F. H. (Frederick Haller), 1852-1933 · London : Macmillan · leaf 68

An illustration from A school geometry. containing the substance of Euclid books II anfd III and part of book IV, 1917, leaf 68
.. TP is a tangent at P. Theor. 46. Since the semi-circle may be described on either side of TO,a second tangent TQ can be drawn from T, as shewn in thefigure. Note. Suppose the point T to approach the given circle, then theangle PTQ gradually increases. When T reaches the circumference,the angle… … Let A be the centre of the greater circle, and a its radius;and let B be the centre of the smaller circle, and h its radius. Analysis. Suppose DE to touch the circles at D and E.Then the radii AD, BE are both perp. to DE, and thereforepar^ to one another. Now if BC were drawn par^ to DE, then the…

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