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" AXIOM is a self-evident truth ; such as, — 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. 3. If equals be taken from equals, the remainders will be equal. 4. If equals be... "
Elements of Geometry: Containing the Principal Propositions in the First Six ... - Página 3
por Euclid - 1789 - 272 páginas
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The Elements of Plane and Solid Geometry ...

Edward Albert Bowser - 1890 - 393 páginas
...with any centre, at any distance from that centre. AXIOMS. 46. 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. 3. If equals be taken from equals the remainders will be equal. 4. If equals be...
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Plane and Solid Geometry: Suggestive Method

Charles Ambrose Van Velzer, George Clinton Shutts - 1894 - 395 páginas
...can be drawn between two points. 38. AXIOMS. 1. Things which are equal to the same or equal things are equal to each other. 2. If equals be added to equals the sums will be equal, 3. If equals be subtracted from equals the differences will be equal. 4. If equals...
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Elements of Geometry: Plane geometry

Andrew Wheeler Phillips, Irving Fisher - 1896
...truth to another the following general axioms are also employed, viz. : (l.) Things equal to the same thing are equal to each other. (2.) If equals be added to equals, the wholes are equal. (3.) If equals be taken from equals, the remainders are equal. (4.) If equals be added to...
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Elements of Geometry

Andrew Wheeler Phillips, Irving Fisher - 1896 - 540 páginas
...truth to another the following general axioms are also employed, viz. : (1.) Things equal to the same thing are equal to each other. (2.) If equals be added to equals, the wholes are equal. (3.) If equals be taken from equals, the remainders are equal. (4.) If equals be added to...
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Plane and Solid Geometry

Arthur Schultze, Frank Louis Sevenoak - 1901 - 370 páginas
...conclusion and the hypothesis of the other. AXIOMS 1. Things that are equal to the same or equal things are equal to each other. 2. If equals be added to equals, the sums are equal. 3. If equals be subtracted from equals, the remainders are equal. 4. If equals be added...
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Plane and Solid Geometry

Arthur Schultze, Frank Louis Sevenoak - 1901 - 370 páginas
...conclusion and the hypothesis of the other. AXIOMS 1. Things that are equal to the same or equal things are equal to each other. 2. If equals be added to equals, the sums are equal. 3. If equals be subtracted from equals, the remainders are equal. 4. If equals be added...
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Plane Geometry

Arthur Schultze - 1901
...conclusion and the hypothesis of the other. AXIOMS 1. Things that are equal to the same or equal things are equal to each other. 2. If equals be added to equals, the sums are equal. 3. If equals be subtracted from equals, the remainders are equal. 4. If equals be added...
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Plane Geometry

Fletcher Durell - 1904 - 372 páginas
...stated as follows: GENERAL AXIOMS 1. Things which are equal to the same thing, or to equal things, are equal to each other. 2. If equals be added to equals, the sums are equal. 3. If equals be subtracted from equals, the remainders are equal. 4. Doubles of equals...
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A Scrap-book of Elementary Mathematics: Notes, Recreations, Essays

William Frank White - 1908 - 248 páginas
...equations with a list of axioms such as the following: 1. Things equal to the same thing or equal things are equal to each other. 2. If equals be added to equals, the sums are equal. 3. If equals be subtracted from equals, the remainders are equal. 4. If equals be multiplied...
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A Grammar School Algebra

Fletcher Durell, Edward Rutledge Robbins - 1909 - 258 páginas
...the best advantage. They are the so-called axioms : 1. Things equal to the same thing, or to equals, are equal to each other. 2. If equals be added to equals, the sums are equal. 3. If equals be subtracted from equals, the remainders are equal. 4. If equals be multiplied...
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