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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 66

An illustration from Exercises on Euclid and in modern geometry for the use of schools, private students, and junior university students, 1881, leaf 66
n the circle place Let 0 be the centre of the given circleany chord AB of the givenlength, and draw OE perpen-dicular to AB. From the centre 0 at thedistance OE describe the innercircle. From P draw PD touch-ing the inner circle at thepoints (III. 17). The chord CD is of the given length, for it is… … 59. To divide a straight line internally into segments,such that the rectangle under the segments shall be equal to thesquare on a given line. Let AB be the line which is to be divided. On AB as diameter describe thecircle with centre 0; draw AC perpen-dicular to AB, and equal to the othergiven…

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