Rays Algebra Part First On the Analytic And Inductive Methods of Instruction
Rays Algebra Part First On the Analytic And Inductive Methods of Instruction
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In our eReader you can find the full English version of the book. Read Rays Algebra Part First On the Analytic And Inductive Methods of Instruction Online - link to read the book on full screen. Our eReader also allows you to upload and read Pdf, Txt, ePub and fb2 books. In the Mini eReder on the page below you can quickly view all pages of the book - Read Book Rays Algebra Part First On the Analytic And Inductive Methods of Instruction
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Art. 122* — If ice multiply the numerator of a fraction, without changing the denominator, the value of the fraction is increased as many times as there are units in the multiplier.
If we multiply the numerator of the fraction f by 3, without changing the denominator, we get f. Thus: 2X3_6 7 ~7 Now, f and f have the same denominator, and, therefore ex- press parts of the same size; but the second fraction, f, has three times as large a numerator as the first, f ; it therefore expresses three ti...mes as many of those equal parts as the first, and is, con- sequently, three times as large. And the same may be shown of any fraction whatever.
PROPOSITIOiV II.
Art. 123* — If ice divide the numerator of a fraction, withoid changing the denominator, the value of the fraction is diminished, as many times as there are units in the divisor.
If we take the fraction |, and divide the numerator by 2, with- out changing the denominator, we get i. Thus : 4-^22 5 ~5 Now, 4 and f have the same denominator, and, therefore, ex- press parts of the same size ; but the numerator of the second fraction, §, is only one half as large as the numerator of the first, I ; it therefore expresses only one half as many of those equal parts as the first, and is, consequently, only one half as large.
What to read after Rays Algebra Part First On the Analytic And Inductive Methods of Instruction?
You can find similar books in the "Read Also" column, or choose other free books by Joseph Ray to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
Art. 122* — If ice multiply the numerator of a fraction, without changing the denominator, the value of the fraction is increased as many times as there are units in the multiplier.
If we multiply the numerator of the fraction f by 3, without changing the denominator, we get f. Thus: 2X3_6 7 ~7 Now, f and f have the same denominator, and, therefore ex- press parts of the same size; but the second fraction, f, has three times as large a numerator as the first, f ; it therefore expresses three ti...mes as many of those equal parts as the first, and is, con- sequently, three times as large. And the same may be shown of any fraction whatever.
PROPOSITIOiV II.
Art. 123* — If ice divide the numerator of a fraction, withoid changing the denominator, the value of the fraction is diminished, as many times as there are units in the divisor.
If we take the fraction |, and divide the numerator by 2, with- out changing the denominator, we get i. Thus : 4-^22 5 ~5 Now, 4 and f have the same denominator, and, therefore, ex- press parts of the same size ; but the numerator of the second fraction, §, is only one half as large as the numerator of the first, I ; it therefore expresses only one half as many of those equal parts as the first, and is, consequently, only one half as large.
What to read after Rays Algebra Part First On the Analytic And Inductive Methods of Instruction?
You can find similar books in the "Read Also" column, or choose other free books by Joseph Ray to read onlineMoreLess
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