Plane And Solid Geometry Suggestive Method

Cover Plane And Solid Geometry Suggestive Method
Plane And Solid Geometry Suggestive Method
C a Charles Ambrose Van Velzer
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This should be illustrated until the pupil sees that they are only different forms of expressing the same thought, viz. , that 1 peck is the unit by which 1 bushel is measured, or that B is the unit by which A is measured, in whichever way it is expressed.
QUERY. In the equation A m n r D, which sym- bols represent numbers and which represent quantities ?
PROPOSITION V. THEOREM.
207. Both terms of a ratio may be multiplied by any number without changing the value of the ratio.
Let T represent a
... ratio.
~ A m A .
To prove -=? = ^-, m being a number. Ti m B A SUG. 1. I^et the ratio -^ equal the number r. R> ^ SUG. 2. In the equation -=- = r, find what A equals.
B SUG. 3. Multiply both members of the equation last found by m } and from the result find the value of the ra- m A tio m B ' SUG. 4. How, then, does -jc compare with ~, Therefore PROPORTION SIMILAR POLYGONS. 14. 3 208. COROLLARY. Both terms of a ratio may be divided by the same number; also, by the same quantity, provided it [is a quantity of the same kind as the terms of the given ratio.


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