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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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ELEMENTS OF GEOMETRY AND TRIGONOMETRY

CHARLES DAVIES, LL.D. - 1863
...RHOMBOID is a parallelogram whose angles are all oblique. AXIOMS. 1. Tilings 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 subtracted from equals, the remainders will be equal. 4. If equals...
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Elements of Geometry: With Practical Applications to Mensuration

Benjamin Greenleaf - 1863 - 320 páginas
...angles. AXIOMS. 34. An 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...
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Elements of Geometry: With Practical Applications to Mensuration

Benjamin Greenleaf - 1868 - 320 páginas
...angles. AXIOMS. 34. An 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...
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New Elementary Geometry: With Practical Applications; a Shorter Course, Upon ...

Benjamin Greenleaf - 1873 - 176 páginas
...sides. AXIOMS. 26. An 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 wili be equal. 3. If equals be taken from equals, the remainders will be equal. 4. If equals be...
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New Elementary Geometry with Practical Applications

Benjamin Greenleaf - 1874 - 176 páginas
...sides. AXIOMS. 26. An 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...
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Elements of Geometry and the First Principles of Modern Geometry

Wm. H. H. Phillips - 1878 - 209 páginas
...of a proposition or in the course of a demonstration. 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. 3. If equals be subtracted from equals, the remainders will be equal. 4. If equals...
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Elements of Plane Geometry, Parte1

Thomas Hunter - 1878 - 132 páginas
...supposed to stand. Any side may be considered the base. Axioms. 1. Things which are equal to the same thing are equal to each other. 2. If equals be added to equals the sums are equals. 3. If equals be taken from equals the remainders are equals. 4. If equals be added...
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The Eclectic School Geometry: A Revision of Evan's School Geometry

Evan Wilhelm Evans - 1884 - 155 páginas
...to magnitudes in space, and are therefore peculiar to Geometry. AXIOMS. 1. Things equal to the same thing are equal to each other. 2. If equals be added to equals, the sums will be equal. 4. If equals be added to unequals, the sums will be unequal. 5. If equals be taken...
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The Bizarre Notes and Queries in History, Folk-lore ..., Volúmenes3-4

1886
...rto». M., 395. J. y. ^., 300. Jostf, 284. -^ Geometrical Axioms. 1. Things that 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 subtracted from equals, the remainders will be equal. 4. If equals...
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Numbers Symbolized: An Elementary Algebra

David Martin Sensenig - 1889 - 364 páginas
...truth. 46. The following are the principal axioms of algebra : 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 subtracted from equals the remainders will be equal. а. If equals...
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