Barrow, Isaac, 1630-1677, Child, J. M. (James Mark), tr · Chicago, London : The Open court publishing company · leaf 115
Fig. 84.a line given in position, the rectangle contained by DE, DFis always equal to any the same area; also the straight line * Note the use of the auxiliary hyperbola. 94 BARROWS GEOMETRICAL LECTURES ET touches the curve XEM at E, and cuts VD in T; then, ifDS is taken equal to DT and FS is… … Let any straight line IN be drawn parallel to EF, cuttingthe given lines as shown ; then TP : PM > TP : PI > TD : DE; also SP : PK = DS : DF ;TP. SP : PM . PK > TD . SD : DE. DF > TD . SD : PM . PN.But, since D is the middle point of TS,.-. TD . SD > TP . SPhence all the more, TD .…
Geometry
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