Barrow, Isaac, 1630-1677, Child, J. M. (James Mark), tr · Chicago, London : The Open court publishing company · leaf 100
ince X:A < X:B, X + A:A <X + B:B; hence, etc. 2. Let three points, L, M, N be taken in a straight line Y L E M F l)^ 9 2 Fig. 61. YZ; and between the points L, M let any point E be taken,and another point G outside LN (towards Z); let EG be cutin F so that GE : EF = NL : LM ; then F will fall… … cutting GP in L and K; then I assertthat DS : DT = KG : LG For the ratio KG : LGis compounded of KG : GB and GB : LG,that is, of PK : PS and PT : PL,that is, of DB: DS and DT: DB,and hence is equal to the ratio DT : DS. 4.. Let BDT be a triangle, and let any two straight linesBS, BR, drawn through…
Geometry
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