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" But it is commonly necessary that this first proportion should pass through a number of transformations before it brings out distinctly the unknown quantity, or the proposition which we wish to demonstrate. It may undergo any change which will not affect... "
An Introduction to Algebra: Being the First Part of a Course of Mathematics ... - Page 188
by Jeremiah Day - 1847 - 332 pages
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Geometry - Plane, Solid and Analytic Problem Solver

Research & Education Association Editors, Ernest Woodward - Mathematics - 2012 - 1080 pages
...proportion AC BD CE DE to solve for BD. Substituting in values, we have (v) IR* = Ì or 3 BD 2 3 ' Setting the product of the means equal to the product of the extremes, we obtain (vi) (vii) (viii) 2 2 BD = 3 BD = 10 BD = 5 • PROBLEM 262 Line segments AC and BD intersect...
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Plane Geometry: A Modern Text

William Weller Strader, Lawrence D. Rhoads - Geometry, Plane - 1927 - 434 pages
...product of two other lines is to prove the four lines proportional as in the previous method and take the product of the means equal to the product of the extremes. Sight Exercises. Proportional Lines ^ In the following exercises, 1-6, write a proportion of the marked...
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