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" Things which are double of the same are equal to one another. 7. Things which are halves of the same are equal to one another. "
Euclid's Elements of geometry, transl. To which are added, algebraic ... - Page 2
by Euclides - 1826
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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
...from unequals, thé remainders are unequals. 6 Things which are double of the same, or equal things, are equal to one another. 7- Things which are halves of the same, or equal things, are equal to one another. 8. Magnitudes which coincide with one another, that is,...
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Euclid in Paragraphs: The Elements of Euclid: Containing the First Six Books ...

Euclid - Geometry - 1845 - 218 pages
...unequals, the wholes are unequal. V. If equals be taken from unequals, the remainders are unequal. VI. Things which are double of the same, are equal to one another. vn. Things which are halves of the same, are equal to one another. VIII. Magnitudes which coincide...
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Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ...

Euclides - 1845 - 546 pages
...unequals, the wholes are unequal. V. If equals be taken from unequals, the remainders are unequal. VI. Things which are double of the same, are equal to one another. VII. Things which are halves of the same, are equal to one another. VIII. Magnitudes which coincide...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - Euclid's Elements - 1846 - 334 pages
...be taken from unequals, the remainders are unequal. 8. Things which are doubles of the same thing, are equal to one another. 7. Things which are halves of the same thing, are equal to one another. 8. Magnitudes which coincide with one another, that is, which exactly...
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Euclid's Elements of geometry, the first three books (the fourth, fifth, and ...

Euclides - 1846 - 272 pages
...equal. 4. If to unequals, equals be added, the wholes are unequal. 5. If from unequals, equals be taken, the remainders are unequal. 6. Things which are double of the same, or of equals, are equal to one another. 7. Things which are halves of the same, or of equals, are equal...
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The Elements of Euclid, the parts read in the University of Cambridge [book ...

Euclides - 1846 - 292 pages
...unequals, the wholes are unequal. v. If equals be taken from unequals, the remainders are unequal. vi. Things which are double of the same, are equal to one another. vn. Things which are halves of the same, are equal to one another. vni. Magnitudes which coincide with...
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The first book of Euclid's Elements, simplified, explained and illustrated ...

Euclides - 1847 - 128 pages
...equal. 4. If equals be added to unequals, the wholes are unequal. 5. If equals be taken from unequals, the remainders are unequal. 6. Things which are double...are halves of the same, are equal to one another. 8. Magnitudes which coincide with one another, that is, which exactly fill the same space, are equal to...
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The definitions, postulates, axioms, and enunciations of the propositions of ...

Euclides - 1848 - 52 pages
...unequals, the wholes are unequal. V. If equals be taken from unequals, the remainders are unequal. VI. Things which are double of the same, are equal to one another. VII. Things which are halves of the same, are equal to one another. VIII. Magnitudes which coincide...
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The first three books of Euclid's Elements of geometry, with theorems and ...

Euclid, Thomas Tate - 1849 - 120 pages
...unequals, the wholes are unequal. v. If equals be taken from unequala, th remainders are unequal. VI. Things which are double of the same, are equal to one another. vn. Things which are halves of the same, are equal to one another. vm. Magnitudes which coincide with...
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Artis logicae rudimenta: with illustrative observations on each section by ...

Henry Aldrich - Logic - 1850 - 406 pages
...operations, that they are often deemed intuitive ; and which neither require nor admit syllogistic proof: as, Things which are double of the same are equal to one another. In the secondary degree, it denotes the certainty of those relations which may be immediately deduced...
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