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" If equal quantities be added to equal quantities, the fums will be equal. 2. If equal quantities be taken from equal quantities, the remainders will be equal. 3. If equal quantities be multiplied by equal quantities, the produits will be equal. "
The Young Mathematician's Guide: Being a Plain and Easy Introduction to the ... - Σελίδα 146
των John Ward - 1771 - 480 σελίδες
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The Elements of Algebra in a New and Easy Method: With Their Use and ...

Nathaniel Hammond - 1742 - 362 σελίδες
...n, and _y, multiplied together. The Operations in Algebra are founded orj thefe Axioms. t AXIOM i. If equal Quantities be added to equal Quantities, the Sum of thefe Quantities will be equal. AXIOM z. If equal Quantities be taken or fubftrafled from equal Quantities, the Quantities remaining...

A Treatise of Algebra: In Two Books ...

William Emerson - 1780 - 574 σελίδες
...o, ? , 8, D, b, a, £, X, &c. AXIOMS. 1. If equal quantities be added to equal quantities, the fums will be equal. 2. If equal quantities be taken from equal quantities, the remainders will &e equal. 3. If equal quantities be multiplied by equal quantities, the products will...

Cyclomathesis: Or, An Easy Introduction to the Several Branches of ..., Τόμος 4

William Emerson - 1764 - 582 σελίδες
..., ? , D , b, Si, í, X , &c. AXIOMS. 1. If equal quantities be added to equal quantities, the fums will be equal. 2. If equal quantities be taken from equal quantities, the remainders will be equal. 3. If equal quantities be multiplied by equal quantities, the produits will...

The Elements of Algebra in a New and Easy Method: With Their Use and ...

Nathaniel Hammond - 1772 - 362 σελίδες
...multiplied together. The Operations m Algebra are founded on thefe Axioms. AXIOM i. If equal Quantities are added to equal Quantities, the Sum of thefe Quantities will be equal. AXI 0 M 2. If equal Quantities are taken or fubftracled from equal Quantities., the Quantities remaining...

An Introduction to Algebra: With Notes and Observations: Designed for the ...

John Bonnycastle - 1782 - 226 σελίδες
...for thofe that are unknown. AXIOMS. 1. If equal quantities be added to equal quantities the wholes will be equal. 2. If equal quantities be taken from equal quantities, the remainders will be equal. 3.- -If equal quantities be multiplied by equal quantities, the products...

An introduction to plain trigonometry, with its application to heights and ...

Richard Cockrel - 1792 - 142 σελίδες
...'* ' 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...

A Complete Treatise on Arithmetic, Rational and Practical: Wherein the ...

Paul Deighan - 1804 - 504 σελίδες
...has no radical fign. Axioms* Axioms. 1. If equ.il quantities be added to equal quantities, the fums will be equal. 2. If equal quantities be taken from equal quantities the remainders will be equal. 3. If equal quantities be multiplied by equal quantities, the products will...

American Edition of the British Encyclopedia: Or, Dictionary of ..., Τόμος 1

William Nicholson - 1819 - 432 σελίδες
...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 from equal quantities, the remainders will be equal 3. If equal quantities be multiplied by the same, or equal quantities, the...

College Algebra: For the Use of Academies, Colleges, and Scientific Schools ...

Edward Albert Bowser - 1888 - 868 σελίδες
...are founded upon the following axioms : 1. If equal quantities be added to equal quantities, the sums will be equal. 2. If equal quantities be taken from equal quantities, the remainders will be equal. 3. If equal quantities be multiplied by equal quantities, the products will...

An Introduction to the Elements of Science

St. George Jackson Mivart - 1894 - 452 σελίδες
...the student must bear in mind, thus : i. If equal quantities be added to equal quantities, the sums will be equal. 2. If equal quantities be taken from equal quantities, the remainders will be equal. 3. If equal quantities be multiplied by the same, or equal quantities, the...




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