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" 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 equal quantities, the products will be equal. 4. If equal quantities be divided... "
A Complete Treatise on Arithmetic, Rational and Practical: Wherein the ... - Page 67
by Paul Deighan - 1804 - 177 pages
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A Treatise of Algebra in Two Books: The First Treating of the Arithmetical ...

Philip Ronayne - Algebra - 1738 - 458 pages
...and b = 6. f&jfam, 1. If equal Quantities be added to equal Quantities, the Sums of thofe Quantities will be equaL 2. If equal Quantities be taken from equal Quantities, the Quantities remaining will be equal. 3. If equal Quantities be Multiplyed by equal Quantities, the Produfls...
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The Young Mathematician's Guide: Being a Plain and Easy Introduction to the ...

John Ward (of Chester.) - Mathematics - 1747 - 516 pages
...and b = 6. Ь'с. 1. If equal Quantities be added to equal Quantities, the Sum of thefe Quantities will be equal. 2. If equal Quantities be taken from equal Quantities, the Quantities remaining will be equal. 3. If equal Quantities be multiplied with equal Quantities, their...
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Cyclomathesis: Or, An Easy Introduction to the Several Branches of ..., Volume 4

William Emerson - Mathematics - 1764 - 582 pages
...characters, that have names, as T? > V , <? , О , ? , ? , D , b, Si, í, X , &c. AXIOMS. 1. If equal quantities be added to equal quantities, the fums...quantities be multiplied by equal quantities, the produits will be equal. 4. If equal quantities be divided by equal quanties, the quotients will be...
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A Treatise of Algebra: In Two Books ...

William Emerson - Algebra - 1780 - 574 pages
...of any characters, that have names, as T?, of, $ > o, ? , 8, D, b, a, £, X, &c. AXIOMS. 1. If equal quantities be added to equal quantities, the fums...be taken from equal quantities, the remainders will &e equal. 3. If equal quantities be multiplied by equal quantities, the products will be equal. 4....
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An Introduction to Algebra: With Notes and Observations: ... By John ...

John Bonnycastle - 1782 - 272 pages
...unknown. AXIOMS. 1. If equal quantities be added to equal quantities the wholes will be equal. я. If equal quantities be taken from equal quantities,...quantities be multiplied by equal quantities, the produfts will be equal. 4. If equal quantities be divided by equal quantities, the quotients will be...
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An introduction to plain trigonometry, with its application to heights and ...

Richard Cockrel - 1792 - 142 pages
...'* ' SECTION 2. ..., A. XIOM S. " I. TF equal Quantities be added to equal J_ Quantities, their Sums will be equal. 2. If equal Quantities be taken from...equal Quantities, the Remainders will be equal. 3. If unequal Quantities be added to unequal Quantities, their Sums will be unequal. 4. If unequal Quantities...
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The Elements of Geometry: In which the Principal Propositions of Euclid ...

William Emerson - Geometry - 1794 - 270 pages
...together. 2. If equal quantities be added to equal tjuank„. tities j the Tunis will be equal. i 3.* If equal quantities be taken from equal quantities ; the remainders will be equal. 4. If equal quantities be equally multiplied; the produfts will be equal. 5. If equal quantities be...
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The Accomplished Tutor: Or, Complete System of Liberal Education ...

Thomas Hodson - Education - 1802 - 556 pages
...Icndwri quantity. i. If equal quantities be added to eqiTdl quantities, the ftims will be equal. And if equal quantities be taken from equal quantities, the remainders will be equal. a. If equal quantities be multiplied by equal quantities, the produces will be equal. And if equal...
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The Accomplished Tutor; Or, Complete System of Liberal Education ..., Volume 2

Thomas Hodson - Arithmetic - 1806 - 488 pages
...quantity. Axioms. i. If equal quantities be added to equal quantities, the fums will be equal. And if equal quantities be taken from equal quantities, the remainders will be equal. 2. If equal quantities be multiplied by equal quantities, the products will be equal. And if equal...
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The British Encyclopedia, Or Dictionary of Arts and Sciences ..., Volume 1

William Nicholson - Natural history - 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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