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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. "
Elements of Geometry: With Practical Applications, for the Use of Schools - Page xiv
by Timothy Walker - 1829 - 129 pages
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Penny Cyclopaedia of the Society for the Diffusion of Useful ..., Volumes 3-4

Encyclopedias and dictionaries - 1835 - 1102 pages
...wholes are unequals. 5. Also, if from unequals equals be taken, the remainders are unequals. 6. Also, things which are double of the same are equal to one another. 7. Also, things which are halves of the same are equal to one another. 8. Also, things which fit one Mother...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1835 - 336 pages
...be taken from unequals, the remainders are unequal. 6. 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. Two magnitudes, lines, surfaces, or solids, are equal, if, when...
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The Penny Cyclopaedia of the Society for the Diffussion of Useful ..., Volume 3

Society for the Diffusion of Useful Knowledge (Great Britain) - 1835 - 564 pages
...wholes are unequals. 5. Also, if from unequals equals be taken, the remainders are unequals. 6. Also, things which are double of the same are equal to one another. 7. Also, things which are halves of the same are equal to one another. 8. Also, things which fit one another...
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The Penny Cyclopędia of the Society for the Diffusion of Useful ..., Volume 3

Encyclopedias and dictionaries - 1835 - 566 pages
...wholes are unequals. 5. Also, if from unequals equals be taken, the remainders are uncquals. 6. Also, things which are double of the same are equal to one another. 7. Also, things which are halves of the same arc equal to one another. 8. Also, things which fit one another...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1835 - 540 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 Teacher's Assistant in the "Course of Mathematics Adapted to the Method ...

Mathematics - 1836 - 488 pages
...be taken from unequals, the remainders are unequal. 6. 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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A Treatise on Language: Or, The Relation which Words Bear to Things, in Four ...

Alexander Bryan Johnson - Language Arts & Disciplines - 1836 - 290 pages
...congruities and incongruities, must be interpreted by our sensible experience. They signify nothing more. Things which are double of the same are equal to one another. Why ? Because, to admit that A and B are severally double of C, is to admit that A is equal to B. But...
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Elements of Geometry: Containing the First Six Books of Euclid : with a ...

John Playfair - Euclid's Elements - 1837 - 332 pages
...be taken from unequals, the remainders are unequal. 6. 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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The First Six and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid, James Thomson - Geometry - 1837 - 410 pages
...from unequals, the remainders are unequal.f 6. Things which are doubles of the same, or of equals, are equal to one another. 7. Things which are halves of the same, or of equals, are equal to one another.;); 8. Magnitudes which exactly coincide with one another, are...
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Elements of Mental Philosophy: Embracing the Two Departments of ..., Volume 1

Thomas Cogswell Upham - Intellect - 1839 - 476 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...
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