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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. "
The Elements of Plane and Solid Geometry: With Numerous Exercises - Σελίδα 12
των Edward Albert Bowser - 1890 - 393 σελίδες
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Elements of Geometry: Containing the Principal Propositions in the First Six ...

Euclid - 1789 - 296 σελίδες
...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...

Elements of Geometry: Containing the Principal Propositions in the First Six ...

John Bonnycastle - 1803 - 470 σελίδες
...which are equal to the fame thing are equal to each other. I 5. If equals be added to equals the wholes will be equal. 3. If equals be taken from equals the remainders will berequal. 4. If equals be added to unequals the wholes will be unequal. 5. If equals be taken from...

A Course of Mathematics ...: Composed for the Use of the Royal Military ...

Charles Hutton - 1811 - 406 σελίδες
...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...

A Course of Mathematics: In Two Volumes : for the Use of Academies ..., Τόμος 1

Charles Hutton - 1816 - 610 σελίδες
...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...

The Youth's instructer [sic] and guardian, Τόμος 14

1854 - 1112 σελίδες
...LESSONS. GEOMETRY. — Axtomt. 1. Things which are equal to the same thing are equal to one another. 2. If equals be added to equals, the sums will be...be taken from equals, the remainders will be equal. This might be deduced from the former, but it is not less simple. 4. The whole is greater than its...

A treatise on navigation, and nautical astronomy

Edward Riddle - 1824 - 572 σελίδες
...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...

Mechanics' Magazine, and Journal of the Mechanics' Institute, Τόμος 4

1835 - 398 σελίδες
...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...

Elements of Geometry and Trigonometry

Adrien Marie Legendre - 1836 - 394 σελίδες
...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...

Elements of Surveying: With a Description of the Instruments and the ...

Charles Davies - 1839 - 376 σελίδες
...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...

Elements of Surveying: With a Description of the Instruments and the ...

Charles Davies - 1839 - 376 σελίδες
...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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