Symbolic Algebra: Or, the Algebra of Algebraic Numbers: Together With ...
Symbolic Algebra: Or, the Algebra of Algebraic Numbers: Together With ...
Wm William Cain
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34. It will be found, too, as a rule, that the generality of the formulae of analyti- cal geometry and trigonometry rests on 56 the tacit assumption that the rules of signs, as laid down in algebra, are to be observed, although there may be no meaning attached to some of the opera- tions in themselves in certain cases. To make mj meaning clear to the students of analytical geometry, let us find the analytical expression for the distance be- tween two points whose co-ordinates are respectively «...„ y^, and x^, y,. Let A and B in the figure, represent the points, so that drawing AC and BD parallel to OY, we have OC=aj,, AC=y^ ; 4-Y A / B E -iC -Y
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