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Livres Livres 1 - 10 sur 15 pour ... axioms : 1. If equal quantities be added to equal quantities, the sums will be....
" ... axioms : 1. If equal quantities be added to equal quantities, the sums will be equal. 2. If equal quantities be subtracted from equal quantities, the remainders will be equal. 3. If equal quantities be multiplied by equal quantities, the products... "
The Young Mathematician's Guide: Being a Plain and Easy Introduction to the ... - Page 146
de John Ward - 1747 - 480 pages
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A Treatise of Algebra in Two Books: The First Treating of the Arithmetical ...

Philip Ronayne - 1717 - 408 pages
...will be equal. So if 4 be := b, and с =. d, then ae will be = bd, or ad— be, by the third Axiom. 4. If equal Quantities be Divided by equal Quantities, their Quotients will be equal. Example, If a be = bt and с = d, then — (or я -fc) will be = -- (or b 4 dj) or -Í- = — , by...
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A Treatise of Algebra in Two Books: The First Treating of the Arithmetical ...

Philip Ronayne - 1738 - 421 pages
...Quantities remaining will be equal. 3. If equal Quantities be Multiplyed by equal Quantities, the Produfls will be equal. 4. If equal Quantities be Divided by equal Quantities, the Quotients will be equal. 5. Thofe Quantities that are equal to one and the fame thing, are equal...
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The Elements of Algebra: In a New and Easy Method, with Their Use and ...

Nathaniel Hammond - 1742 - 328 pages
...multiplied with equal Quantities, their Produces will be equal. 4 XI QM -.: • ' '' А X 1 О М. 4. If equal Quantities be divided by equal Quantities, their Quotients will be equal. AXIOM 5. If there are feveral Quantities that are equal to one and the fame thing, thofe Quantities...
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A New and Complete Dictionary of Arts and Sciences: Comprehending ..., Volume 2

1763 - 3506 pages
...quantities remaining will be equal, j. If equal quantities be multiplied by equal quantities, their producls will be equal. 4. If equal quantities be divided by...equal quantities, their quotients will be equal, 5. Quantities that are equal to one and the fame thing, are alfb equal to one another. If thele axioms...
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A treatise of algebra: in two books ...

William Emerson - 1780 - 531 pages
...quantities, the remainders will &e equal. 3. If equal quantities be multiplied by equal quantities, the products will be equal. 4. If equal quantities be divided by equal quanties, the quotients will be equal. -' 5. The equal powers or roots of equal quantities^ are equal....
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An Introduction to Algebra: With Notes and Observations: Designed for the ...

John Bonnycastle - 1782 - 201 pages
...quantities, the remainders will be equal. 3.- -If equal quantities be multiplied by equal quantities, the products will be equal. 4. If equal quantities be divided by equal quantities, the quotients will be equal. 5. The equal powers or roots of equal quantities are equal. 6. Two quantities...
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An introduction to algebra

John Bonnycastle - 1782 - 201 pages
...the remainders will be equal. 3. If equal quantities be multiplied by equal quantities, the produfts will be equal. 4. If equal quantities be divided by equal quantities, the quotients will be equal. 5 . The equal powers or roots of equal quantities are equal. 6. Two quantities...
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A Complete Treatise on Arithmetic, Rational and Practical: Wherein the ...

Paul Deighan - 1804
...quantities the remainders will be equal. 3. If equal quantities be multiplied by equal quantities, the products will be equal. 4. If equal quantities be divided by equal quantities, the quotients will be equal. ' 5. The equal powers or roots of equal quantities, are equal. 6. If to...
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A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - 1825 - 372 pages
...subtracted from equal quantities, their remainders will be equal. 3. If equal quantities be multiplied by equal quantities, their products will be equal. 4....by equal quantities, their quotients will be equal. (61.) RULE I. Any quantity may lie lianfferred from one xitje of tie equation to the other, in/ changing...
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A Practical System of Algebra: Designed for the Use of Schools and Private ...

Peter Nicholson - 1831 - 316 pages
...each side of the equation by 3 ; 9+6=15; ie 15=15. Or, if a=6; andc=rf; then will ac=bd ; or orf=6c. W If equal quantities be divided by equal quantities, their quotients will be equal. Ex. 4 + 2=6, dividing each side of the equation by 2 ; 2+1=3; ie 3=3. Or, if a=b ; and c=d; , .„...
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