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" If equal quantities be added to equal quantities, the sums will be equal. "
An introduction to plain trigonometry, with its application to heights and ... - Page 8
de Richard Cockrel - 1792 - 99 pages
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The British Encyclopedia, Or Dictionary of Arts and Sciences ..., Volume 1

William Nicholson - 1809 - 716 pages
...deducted. AXIOMS. 1. If equal quantities be added to equal quantities, the sums will be equal. '.: If equal quantities be taken from equal quantities, the remainders will be equal. It is immaterial in what order the quantities are set down, if we take care to prefix to each its proper...
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American Edition of the British Encyclopedia: Or, Dictionary of ..., Volume 1

William Nicholson - 1819 - 432 pages
...b, the quantity 2 a A is deducted. AXIOMS. 1. If equal quantities be added to equal quantities, the sums will be equal. 2. If equal quantities be taken...equal quantities, the remainders will be equal 3. If equal quantities be multiplied by the same, or equal quantities, the products will be equal. 4. If...
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Geometrical Problems Deducible from the First Six Books of Euclid, Arranged ...

Miles Bland - 1821 - 898 pages
...expressed. AXIOMS. (11.) If equal quantities be added to equal quantities, the sums will be equal. (12.) If equal quantities be taken from equal quantities, the remainders will be equal. (13.) If equal quantities be multiplied by the same or equal quantities,'the products will be equal....
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The Youth's instructer [sic] and guardian, Volume 14

1854 - 1112 pages
...some works on algebra : — If equal quantities be added to equal quantities, the sums will be equal. If equal quantities be taken from equal quantities, the remainders will be equal. If equal quantities be multiplied by the same or equal quantities, the products will be equal. If equal...
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Algebraical Problems, Producing Simple and Quadratic Equations, with Their ...

Miles Bland - 1824 - 404 pages
...expressed. AXIOMs. (11.) If equal quantities be added to equal quantities, the sums will be equal. (1£.) If equal quantities be taken from equal quantities, the remainders will be equal. (I3.) If equal quantities be multiplied by the same or equal quantities, the products will be equal....
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A Careful and Strict Enquiry Into the Modern Prevailing Notions of that ...

Jonathan Edwards - 1828 - 342 pages
...exalted, is not infinite ? That any relation should subsist between the Creator and a creature ? Or that, if equal quantities be taken from equal quantities, the remainders will be equal ? Is there any room, in thought, (or a supposition'Of any decree in the case ? Nay more, does it appear...
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The Works of President Edwards: With a Memoir of His Life, Volume 2

Jonathan Edwards - 1829 - 598 pages
...exalted, is not infinite ? That any relation should subsist between the Creator and a creature 1 Or that, if equal quantities be taken from equal quantities, the remainders will be equal t Is there any room, in thought, for a supposition of any decree in the case 1 Nay more, does it appear...
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The Works of President Edwards: With a Memoir of His Life ...

Jonathan Edwards - 1830 - 598 pages
...exalted, is not infmih ? That any relation should subsist between the Creator and a creature ? Or that, if equal quantities be taken from equal quantities, the remainders will be equal ? Is there any room, in thought, for a supposition of any decree in the case ? Nay more, does it appear...
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A Practical System of Algebra in Theory and Practice in Two Parts: With a ...

John D. Williams - 1840 - 216 pages
...the equation. (11.) If equal quantities he added to equal quantities, the sums will be equal. (12.) If equal quantities- be taken from equal quantities, the remainders will be equal. (13.) If equal quantities he multiplied by the same or equal quantities, the products will he equal....
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The principles of arithmetic. [Followed by] The principles of algebra

Wales Christopher Hotson - 1842 - 306 pages
...the same or equal quantities be added to equal quantities, the sums will be equal. 35. If the same or equal quantities be taken from equal quantities, the remainders will be equal. 36. If equal quantities be multiplied by the same, or by equal quantities, the products will be equal....
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