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The geometrical lectures of Isaac Barrow (1916)

Barrow, Isaac, 1630-1677, Child, J. M. (James Mark), tr · Chicago, London : The Open court publishing company · leaf 101

An illustration from The geometrical lectures of Isaac Barrow, 1916, leaf 101
aIq Ui-e arithmetical proportionals ;and the condition for the first antecedents and the last consequents must beA + /a,= a+M and F + o- = <|) + S ; in this case D + tt = 5+P, or D-6 = P-tt. This is not of very great importance, as, in the following theorems,Barrow apparently only considers… … LECTURE VII 81 order between PG and PE; then, through any point E ofthe given line EBE, let HE be drawn parallel to AB and CD;and let another curve KEK be such that, if any straight lineQL is drawn also parallel to BD, cutting EBE in I, HE in L,FBF in R, and CD in S, then QK is always a mean…

Geometry

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