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Exercises on Euclid and in modern geometry for the use of schools, private students, and junior university students (1881)

McDowell, James L · Cambridge, Deighton, Bell, and Co. · leaf 65

An illustration from Exercises on Euclid and in modern geometry for the use of schools, private students, and junior university students, 1881, leaf 65
reas equal to half the quadrilateral ABCD. Q. e. d. 56. Through a given point within a circle, draw theminimum chord. Let P be the given point within the circle whose centre is 0.Draw the diameter CD, and through Pdraw the chord AB perpendicular to CD.AB is the minimum chord, for through Pdraw any… … 57. Through a given point within a circle to draw achord of a given length, but which must not be less thanthe minimum chord through the point, nor greater than thediameter. In the given circle with centre 0 place any chord AB of thegiven length, draw OE perpendicular to it,and with the centre 0…

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