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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 39

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7, and with their centres2-1 apart. Find by calculation, and by measurement, the length ofthe common chord, and its distance from the two centres. 156 GEOMETRY. ♦Theorem 37. [Euclid III. 8.] If from any external point straight lines are drawn to thecircumference of a circle, the greatest is that… … Let ACDB be a circle, and from any external point P let thelines PBA, PC, PD be drawn to the O*^, so that PBA passesthrough the centre O, and so that the L POC subtended by PCat the centre is greater than the ^ POD subtended by PD. It is required to prove that of these st. lines (i) PA is the…

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