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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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The Harpur Euclid: An Edition of Euclid's Elements

Edward Mann Langley, W. Seys Phillips - 1890 - 538 pages
...are double 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...greater than its part. 10. Two straight lines cannot enclose a space. 11. All right angles are equal to one another. DEF.— A triangle with its three sides...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - Geometry - 1892 - 460 pages
...things, are equal to one another. 7. Things which are halves of the same thing, or of equal things, are equal to one another. 9.* The whole is greater than its part. * To preserve the classification of general and geometrical axioms, we have placed Euclid's ninth axiom...
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A Text-book of Euclid's Elements for the Use of Schools. Books I.-VI ..., Book 1

Euclid, Henry Sinclair Hall, Frederick Haller Stevens - Euclid's Elements - 1900 - 330 pages
...things, are equal to one another. . 7. Things which are halves of the same thing, or of equal things, are equal to one another. 9.* The whole is greater than its part. * To preserve the classification of general and geometrical axioms, we have placed Euclid's ninth axiom...
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A Text-book of Euclid's Elements for the Use of Schools, Book 1

Euclid - Euclid's Elements - 1904 - 488 pages
...things, are equal to one another. 7. Things which are halves of the same thing, or of equal things, are equal to one another. 9.* The whole is greater than its part. * To preserve the classification of general and geometrical axioms, we have placed Euclid-s ninth axiom...
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Henley's Encyclopaedia of Practical Engineering and Allied Trades ...

1906 - 576 pages
...are double 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...greater than its part. 10. Two straight lines cannot enclose a space. 11. All right angles are equal to one another. 12. If a straight line meet two straight...
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Henley's Encyclopędia of Practical Engineering and Allied Trades: A ...

Joseph Gregory Horner - Engineering - 1906 - 572 pages
...are double 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...greater than its part. 10. Two straight lines cannot enclose a space. 11. All right angles are equal to o,ne another. 12. If a straight line meet two straight...
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Abraham Lincoln: The Prairie Years,

Carl Sandburg - 1926 - 528 pages
...are halves of the same thing 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 straight lines cannot enclose a space. Quietly, by himself, he worked with these definitions and axioms. The book, "The Elements...
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Popular Science Monthly, Volume 68

Science - 1906 - 600 pages
...are double 01 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...whole is greater than its part. 10. Two straight lines can not enclose a space. 11. All right angles are equal to one another. 12. If a straight line meet...
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