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" If the same quantity, or equal quantities, be added to equal quantities, the sums will be equal. 2. If the same quantity, or equal quantities, be subtracted from equal quantities, the remainders will be equal. 3. If equal quantities be multiplied by the... "
An Introduction to Algebra: With Notes and Observations: Designed for the ... - Page 3
by John Bonnycastle - 1782 - 201 pages
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Algebraical Problems, Producing Simple and Quadratic Equations, with Their ...

Miles Bland - Algebra - 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 Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - Mathematics - 1825 - 1046 pages
...quantities, their sums will be equal. 2. If equal quantities be subtracted from equal quantities, their remainders will be equal. 3. If equal quantities be multiplied by equal quantities, their products will be equal. 4. If equal quantities be divided by equal quantities, their quotients...
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An Introduction to Algebra: Being the First Part of a Course of Mathematics ...

Jeremiah Day - Algebra - 1827 - 352 pages
...equal quantities, their sums will be equal. 2. If the same quantity or equal quantities he subtracted from equal quantities, the remainders will be equal. 3. If equal quantities be multiplied into the same, or equal quantities, the products will be equal. 4. If equal quantities be divided by...
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A Careful and Strict Enquiry Into the Modern Prevailing Notions of that ...

Jonathan Edwards - Free will and determinism - 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 - Religion - 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 - Congregational churches - 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 - Algebra - 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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An Elementary Treatise on Algebra: For the Use of Students in High Schools ...

Thomas Sherwin - Algebra - 1841 - 314 pages
...equa. quantities, the sums will be equal. 2. If the same quantity or equal quantities be subtracted from equal quantities, the remainders will be equal. 3. If equal quantities be multiplied by the same quantity or by equal quantities, the products will be equal. 4. If equal quantities be divided...
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An Elementary Treatise on Algebra: For the Use of Students in High Schools ...

Thomas Sherwin - Algebra - 1841 - 320 pages
...quantities, the sums will be equal. 2. If the same quantity or equal quantities be subtracted from equil quantities, the remainders will be equal. 3. If equal quantities be multiplied by the same quantity or by equa. quantities, the products will be equal. 4. If equal quantities be divided...
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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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