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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 91

An illustration from Exercises on Euclid and in modern geometry for the use of schools, private students, and junior university students, 1881, leaf 91
lel to AC meeting EH producedin E AEEK and BGHE are ob-viously rectangles. Therefore EL is the sum of theperpendiculars on the first diagonalAC, and CE is the sum of the per-pendiculars on the second diagonalBE. The triangles Cliff, DMFhave the angles at If equal and the angles at H and E rio-ht,… … 96.] AND IN MODERN GEOMETRY. 63 95. The diagonals of a quadrilateral inscribed in a circleare as the sums of the rectangles under the pairs of sidesterminated in each diagonal. Fig. to (94). Suppose ABCD to be any quadrilateral capableof being inscribed in a circle, and let AE, CF, BG, DH be…

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