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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 22

An illustration from Elements of analytical geometry and the differential and integral calculus, 1856, leaf 22
at the equation may represent the equation of any line in the plane TAX. If we give to «, x, and b, their proper signs, in each case ofapplication we may write . y=:a:c-\-b for the equation of any straight line i7i a plane. To fix in the minds of learners a complete comprehension ofthe equation of… … STRAIGHT LINES. 13 Draw YY and XX at rightangles, and take any conveni-ent space for the unit of mea-sure, as 1, 2, 3, (fee. Equation (1) is true for allv^alues of x and y. It is truethen when a:=0. But whena;=0 the point on the line mustbe on the axis YY, When ir=0. y=3. This shows that the line…

Geometry, Analytic · Calculus

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