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" If equals be added to 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. "
Elements of Geometry: With, Practical Applications - Page 18
by George Roberts Perkins - 1850 - 320 pages
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Euclid in Paragraphs: The Elements of Euclid: Containing the First Six Books ...

Euclid - Geometry - 1845 - 218 pages
...the remainders are equal. IV. If equals be added to 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....
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A system of practical mathematics; being no.xvi. of a new series of school-books

Scottish school-book assoc - 1845 - 434 pages
...unequals, the sums are unequals. 5. If equals be taken 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....
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The Elements of Geometry, Symbolically Arranged

Great Britain. Admiralty - Geometry - 1846 - 130 pages
...the remainders are equal. IV. If equals be added to unequals, the wholes are unequal. V. If equals be taken from unequals, the remainders are unequal. VI....are double of the same, or equal things, are equal to one another. VII. Things which are halves of the same, or equal things, are equal to one another....
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The Elements of Geometry, Symbolically Arranged

Great Britain. Admiralty - Geometry - 1846 - 130 pages
...the remainders are equal. IV. If equals be added to unequals, the wholes are unequal. V. If equals be taken from unequals, the remainders are unequal. VI....are double of the same, or equal things, are equal to one another. VII. Things which are halves of the same, or equal things, are equal to one another....
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The Elements of Euclid, the parts read in the University of Cambridge [book ...

Euclides - 1846 - 292 pages
...the remainders are equal. iv. If equals be added to 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...
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Elements of Geometry: With Practical Applications ...

George Roberts Perkins - Geometry - 1847 - 308 pages
...are equal to the same thing, are equal to each other. II. When equals are added to equals, the wholes are equal. III. When equals are taken from equals,...coincide, or fill the same. space, are identical. . X. All right angles are equal to one another. POSTULATES. I. To draw a straight line from any one point to...
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The definitions, postulates, axioms, and enunciations of the propositions of ...

Euclides - 1848 - 52 pages
...the remainders are equal. IV. If equals be added to 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....
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The first six books of the Elements of Euclid, with numerous exercises

Euclides - 1853 - 176 pages
...the remainders are equal. IV. If equals be added to 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....
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The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1855 - 258 pages
...the remainders are equal. IV. If equals be added to 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....
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Plane and Solid Geometry: To which is Added Plane and Spherical Trigonometry ...

George Roberts Perkins - Geometry - 1856 - 460 pages
...are equal to the same thing, are equal to each other. II. When equals are added to equals, the wholes are equal. III. "When equals are taken from equals,...coincide, or fill the same space, are identical. X. All right angles are equal to one another. XI. A straight line is the shortest distance between two points....
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