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" AXIOMS. 1. Things which are equal to the same thing are equal to each other. 2. If equals be added to equals, the sums will be equal. "
Algebra for High Schools and Colleges: Containing a Systematic Exposition ... - Página 60
por James B. Dodd - 1859 - 306 páginas
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Elements of Geometry: Containing the Principal Propositions in the First Six ...

Euclid - 1789 - 296 páginas
...right lines, may be produced till it meets the other. AXIOMS. 1. Things which are equal to the fame thing are equal to each other, 2. If equals be added to equals the wholes will be equal. 3. If equals be taken from equals the remainders will be equal. 4. If equals...
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A Course of Mathematics ...: Composed for the Use of the Royal Military ...

Charles Hutton - 1811 - 406 páginas
...A Scholium, is a remark or observation made upon something going before it. -- 9 ' AXIOMS. AXIOMS. 1. THINGS which are equal to the same thing are equal to each other. 2. When equals are added to equals, the wholes are equal. 3. When equals are taken from equals, the remains...
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A Course of Mathematics: In Two Volumes : for the Use of Academies ..., Volumen1

Charles Hutton - 1816 - 610 páginas
...demonstration. 77. A Scholium, is a remark or observation made upon something going before it. AXIOMSAXIOMS. 1. THINGS which are equal to the same thing are equal to each other. 2. \Vhnn equals are added to equals, the wholes are equal. 3 When equals are taken from equals, the remainders...
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A treatise on navigation, and nautical astronomy

Edward Riddle - 1824 - 572 páginas
...truth. 70. A Postulate is a request to admit the possibility of performing a certain operation. AXIOMS. 1. Things which are equal to the same thing, are equal to each other. 2. When equals are added to equals, the wholes are equal. 3. When equals are taken from equals, the remainders...
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Mechanics' Magazine, and Journal of the Mechanics' Institute, Volumen4

1835 - 398 páginas
...demonstration. 77. A Scholium is a remark or observation made upon something going before it. AXIOMS. 1. Things which are equal to the same thing are equal to each other. 2. When equate are added to equals, the wholes are equal. 3. When equals are taken from equals, the remainders...
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Elements of Geometry and Trigonometry

Adrien Marie Legendre - 1836 - 394 páginas
...V2 means the square-root of 2 ; VA x B means the square-root of the product of A and B. Axioms. • 1. Things which are equal to the same thing, are equal...each other. -2. If equals be added to equals, the wholes will be equal. 3. If equals be taken from equals, the remainders will be equal. . 4. If equals...
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Elements of Surveying: With a Description of the Instruments and the ...

Charles Davies - 1839 - 376 páginas
...connexion, their use, their restriction, or their extension. Axioms. I. Things which are equal to the same thing, are equal to each other. 2 If equals be added to equals, the wholes will he equal. 3. If equals be taken from equals, the remainders will be equal. 4. If equals...
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Elements of Surveying: With a Description of the Instruments and the ...

Charles Davies - 1839 - 376 páginas
...connexion, their use, their restriction, or their extension. Axioms. I. Things which are equal to the same thing, are equal to each other. 2 If equals be added to equals, the wholes will be equal. 3. If equals be taken from equals, the remainders will be equal. 4. If equals...
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First Lessons in Geometry: With Practical Applications in Mensuration, and ...

Charles Davies - 1840 - 264 páginas
...is a remark on one or more preceding propositions. 17. An Axiom is a self evident truth. .. AXIOMS. 1. Things which are equal to the same thing are equal...to each other. 2. If equals be added to equals the wholes will be equal. 3. If equals be taken from equals the remainders will be equal. ClOEST.— 11....
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Elements of Surveying, and Navigation: With a Description of the Instruments ...

Charles Davies - 1835 - 388 páginas
...supposition, made either in the enunDESCR1PT1ON OF 1NSTRUMENTS. 21 Axioms. I. Things which are equal to the same thing, are equal to each other. 2 If equals be added to equals, the wholes will be equal. 3. If equals be taken from equals, the remainders will be equal. 4. If equals...
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