Barrow, Isaac, 1630-1677, Child, J. M. (James Mark), tr · Chicago, London : The Open court publishing company · leaf 109
e have it in § iB. Here Barrow states that a line <^^<^ isan asymptote to a curve VFF, the distance between the curveand its asymptote, measured along a line parallel to a fixeddirection, being the equivalent of our FF in the work above.Now the condition for an asymptote is that this… … The figure on the left is the one used by Barrow for § i8;as P moves away from V, PE and PG both increase withoutlimit, but it can readily be seen that the ratio of EG to PEsteadily decreases. This is all that can be gathered fromthe figure; and, as far as I can see, it must have been fromthis that…
Geometry
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