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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 Surveying: With a Description of the Instruments and the ... - Page 29
by Charles Davies - 1840
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The Youth's instructer [sic] and guardian, Volume 14

1854 - 1110 pages
...which are equal to the same thing are equal to one another. 2. If equals be added to equals, the sums will be equal. 3. If equals 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...
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A solemn appeal to the common sense of England, against the principles of ...

1827 - 486 pages
...centre equal to any right line not terminated in the centre. AXIOMS. 1. THINGS which are equal to the same thing, are equal to each other. 2. If equals be added to equals, the wholes are equals. 3. If equals be taken away from equals, the remainders are equal. Note (q). It follows,...
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First Lessons in Geometry: With Practical Applications in Mensuration, and ...

Charles Davies - Geometrical drawing - 1840 - 264 pages
...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...be taken from equals the remainders will be equal. ClOEST.— 11. What is a theorem 1 12. What is a problem 1 13. What is a proposition 1 May it be a...
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The Excise Officer's Manual and Improved Gauger: Being a Compendious ...

Joseph Bateman - Excise tax - 1840 - 430 pages
...Magnitudes which are equal to the same are equal to one another. 2. If equals be added to equals the sums will be equal. 3. If equals be taken from equals the remainders will be equat. 4. The doubles of the same or equal magnitudes are equal. 5. The halves of the same or equal...
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Practical Geometry: With Selected Applications in Mensuration, in Artificers ...

Charles DAVIES (LL.D.) - Geometrical drawing - 1844 - 262 pages
...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...be taken from equals the remainders will be equal. Q.UEST.— 11. What is a theorem? 12. What is a problem? 13. What is a proposition 1 May it be a problem...
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A system of practical mathematics; being no.xvi. of a new series of school-books

Scottish school-book assoc - 1845 - 444 pages
...circle may be described from any centre, and with any radius. AXIOMS. 1. Things that 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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Euclid's Elements of geometry, the first three books (the fourth, fifth, and ...

Euclides - 1846 - 272 pages
...radius. COMMON NOTIONS, OR AXIOMS. 1. Things which are equal to the same are equal to one another. 2. If equals be added to equals, the wholes will be equal. 4. If to unequals, equals be added, the wholes are unequal. 5. If from unequals, equals be taken, the...
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Elements of Geometry and Trigonometry Translated from the French of A.M ...

Charles Davies - Trigonometry - 1849 - 372 pages
...be explained in its proper place. Axioms. 1. Things which are equal to the same thing, are equal t» each other. 2. If equals be added to equals, the wholes...be taken from equals, the remainders will be equal. 5. If equals be taken from unequals, the remainders will be unequal. 4. If equals be added to unequals,...
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Elementary Geometry: With Applications in Mensuration

Charles Davies - Geometry - 1850 - 218 pages
...and CD is the altitude of the trapezoid. Of A xio in s . AXIOMS. 1. Things which, are equal to the same thing are equal to each other. 2. If equals be...remainders will be equal. 4. If equals be added to imequals, the wholes will be unequal. 5. If equals be taken from unequals, the remainders will be unequal....
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Mathematical Dictionary and Cyclopedia of Mathematical Science: Comprising ...

Charles Davies, William Guy Peck - Mathematics - 1855 - 628 pages
...Geometry, two equality between two quantities : 1. Things which are equal to the same or to cqutil things, are equal to each other. 2. If equals be added to equals the sume will be equal. 3. If equals be subtracted from equals the remainders will be equal. 4. Like parts...
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