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Elements of analytical geometry and the differential and integral calculus (1856)

Robinson, Horatio N. (Horatio Nelson), 1806-1867 · Cincinnati : J. Ernst · leaf 23

An illustration from Elements of analytical geometry and the differential and integral calculus, 1856, leaf 23
y ; which are read x prime, x second, &c. When the point designated by the co-ordinates i^ no particularone, we write simply x and y, to represent its co-ordinates. Let the two given points be Pand Q, and because the point Pis said to be given, we know thetwo distances -4i\^and NP.AN=x\ NP=y\… … Or D=^(x—xy+(y-y)K Thus we discover that the distance between any two givenpoints is equal to the square root of the sum of the squares of th$difference of their abscisses and ordinaies. STRAIGHT LINES. 16 If one of these points be the origin or zero point, then «=0or y=0, and we have a result…

Geometry, Analytic · Calculus

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