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Analytical geometry for beginners (1905)

Baker, Alfred, 1848-1942 · Toronto : W.J. Gage · leaf 82

An illustration from Analytical geometry for beginners, 1905, leaf 82
if26;?-10A--5S = 0,107i-f26A--22 = 0. These equations are satisfied by A = 3, A-= 2. Substituting these vahies for A and I* in (2), the equation becomes13.1-^ - \^xy + 13/ - 72 = 0,... (3)which represents what equation (1) becomes wlien the origin is trans-ferred to the point (3, 2). A knowledge of… … (b). Let us next enquire whether we can turn the axes through anangle such that the term involving the product xi/ shall disi^ppearfrom the equation. Turning the axes through the angle 6, the equation becomes13 {X cos 0 - y sin 6)^ - 10 (.r cos ^ - y sin 6) (x sin d^y cos 6) -i- 13(.r sin ^ + y cos…

Geometry, Analytic

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