An elementary treatise on analytical geometry : embracing plane co-ordinate geometry, and an introduction to geometry of three dimensions (1869)
Johnson, William Woolsey, 1841-1927 · Philadelphia : J.B. Lippincott · leaf 44
f the line. This is the equation of a line in terms of its intercepts; for let y = 0, and we have x0 = a; let x = 0, and we have y0 =b. If x be taken negative, in the Vfigure, where a and b are positive, y is greater than b and - ^> 1, b x x but - is then negative; so that the algebraic sum of… … 40 THE STKAIGHT LINE. BP, figure Art. 32, - is negative and y > &,for positive values of x. aBy means of this formula we can give at once the equation of aline making given intercepts; thus, required that x0 = 7 and y0 = 5, 1, or hx -f- 7y == 35; required the equation of the line is - 4- - H…
Geometry, Analytic
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