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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 Manual of Surveying for India, Detailing the Mode of Operations on the ...

Sir Henry Edward Landor Thuillier - Surveying - 1851 - 826 pages
...unequals, the wholes are equals. 5. If equals be taken from unequals, the remainders are unequals. 6. Things which are double of the same, are equal...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 Elements of Euclid [book 1] for beginners, by J. Lowres

Euclides - 1852 - 48 pages
...unequals, the wholes are unequal. 5. If equals be taken from unequals, the remainders are unequal. ф 6. Things which are double of the same, are equal...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 first two books of the Elements of Euclid, with additional figures ...

Euclides - 1852 - 152 pages
...wholes are unequal. V. If equals be taken from unequals, the remainders are unequal. BOOK I. BOOK I. 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 Elements of Euclid: With Many Additional Propositions ..., Part 1

Euclid - Geometry - 1853 - 176 pages
...wholes are unequal. 5. If equals be taken from unequals, the remainders are unequal. 6. Magnitudes which are double of the same are equal to one another. 7. Magnitudes which are halves of the same are equal to one another. SCHOLIUM. A similar extension may...
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The synoptical Euclid; being the first four books of Euclid's Elements of ...

Euclides - 1853 - 146 pages
...unequals, the wholes are unequal. If equals be taken from unequals, the remainders are unequal. TI. Things which are double of the same, are equal to one another. TO. Things which are halves of the same, are equal to one another. VIII. Magnitudes which coincide...
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The first six books of the Elements of Euclid, with numerous exercises

Euclides - Geometry - 1853 - 176 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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Orr's Circle of the Sciences: Organic nature, vols. 1-3 (1854-1856)

William Somerville Orr - Science - 1854 - 534 pages
...unequals, the wholes will be unequal. If equals be taken from tmeqnals, the remainders will be unequal. VI. Things which are double of the same are equal to one another. •га. Things which are halves of the same are equal to one another. VIII. Magnitudes which coincide,...
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The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1855 - 270 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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Mensuration of Lines, Areas, Surfaces, and Volumes ...

Robert Rawson - 1856 - 178 pages
...unequals, the wholes are unequal. V. If equals be taken from unequals, the remainders are unequal, VL 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. vin. Magnitudes which coincide with...
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Elements of Mental Philosophy: Embracing the Two Departments of ..., Volume 1

Thomas Cogswell Upham - Ethics - 1857 - 474 pages
...one another ; If equals be added to equals, the "wholes are equal; The whole is greater than a part; Things which are double of the same are equal to one another ; Things which are halves of the same are equal to one another ; Magnitudes which coincide with one...
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