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" Things which 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 one another. 9. The whole is greater than its part. 10. Two straight lines cannot enclose... "
Elements of Geometry: With Practical Applications, for the Use of Schools - Page xiv
by Timothy Walker - 1829 - 129 pages
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Chambers's information for the people, ed. by W. and R. Chambers, Volume 2

Chambers W. and R., ltd - 1842 - 744 pages
...equal. 4. If equals be added to unequals, the wholes are unequal. 5. If equals be taken from uneqnals, the remainders are unequal. 6. Things which are double...another. 9. The whole is greater than its part. 10. All right angles are equal to one another. 11. Two straight lines cannot be drawn through the same...
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Chambers's Information for the People, Volume 2

William Chambers, Robert Chambers - Encyclopedias and dictionaries - 1842 - 938 pages
...Things which are double of the same, are equal to one another. 7. Things which are halves of the came, are equal to one another. 8. Magnitudes which coincide...another. 9. The whole is greater than its part. 10. All right angles are equal to one another. 11. Two straight lines cannot be drawn through the same...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1842 - 332 pages
...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...another. 9. The whole is greater than its part. 10. All right angles are equal to one another. 11. "Two straight lines which intersect one another, cannot...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1844 - 338 pages
...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...another. 9. The whole is greater than its part. 10. All right angles are equal to one another. 11. "Two straight lines which intersect one another, cannot...
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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
...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...one another. 9. The whole is greater than its part, aud equal to all its parts taken together. 10. Two straight lines cannot inclose a space. 1 1 . All...
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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
...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...another. 9. The whole is greater than its part. 10. All right angles are equal to one another. 11." Two straight lines which intersect one another, cannot...
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Euclid's Elements of geometry, the first three books (the fourth, fifth, and ...

Euclides - 1846 - 272 pages
...of the same, or of equals, are equal to one another. 8. Magnitudes which coincide with one another are equal to one another. 9. The whole is greater than its part. 10. Two right lines cannot enclose a space. 1 1. All right angles are equal to one another. 12. If two right...
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The first book of Euclid's Elements, simplified, explained and illustrated ...

Euclides - 1847 - 128 pages
...are equal to the same thing, are equal to one another. Also, things which are equal to equal things, are equal to one another. 2. If equals be added to...part. 10. Two straight lines cannot inclose a space. In order to enclose a space, two straight lines must have more than one common intersection, which...
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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...another. 9. The whole is greater than its part. 10. All right angles are equal to one another. POSTULATES. 1. That a right line may be drawn from any one...
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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...another. 9. The whole is greater than its part. 10. Two right lines cannot inclose a space. 11. All right angles are equal to one another. 12. If a right line...
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