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" Magnitudes which coincide with one another, that is, which exactly fill the same space, are equal to one another. "
The Elements of Euclid for the Use of Schools and Colleges: Comprising the ... - Side 4
av Euclid, Isaac Todhunter - 1883 - 400 sider
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The Elements of Geometry, Symbolically Arranged

Great Britain. Admiralty - 1846 - 128 sider
...another. VII. Things which are halves of the same, or equal things, are equal to one another. VIII. Magnitudes which coincide with one another, that is,...exactly fill the same space, are equal to one another. IX. The whole is greater than its part. X. Two straight lines cannot enclose a space. XI. All right...
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The Elements of Euclid, the parts read in the University of Cambridge [book ...

Euclides - 1846 - 292 sider
...same, are equal to one another. vn. Things which are halves of the same, are equal to one another. vni. Magnitudes which coincide with one another, that is,...exactly fill the same space, are equal to one another. ix. The whole is greater than its part. x. Two straight lines cannot enclose a space. xi. All right...
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Euclid's Elements of geometry, the first three books (the fourth, fifth, and ...

Euclides - 1846 - 272 sider
...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 coincide with one another are equal to one another. 9. The whole is greater than its part. 10. Two right lines cannot enclose...
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The first book of Euclid's Elements, simplified, explained and illustrated ...

Euclides - 1847 - 128 sider
...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. 8. Magnitudes which coincide...greater than its 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,...
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Elements of the Philosophy of the Human Mind: In Two Parts, Del 1

Dugald Stewart - 1847 - 666 sider
...force, either to Locke, to lieid, or to Campbell,) that furnishes, if I mistake not, the true too ; " Magnitudes which coincide with one another, that is which exactly fill the Fame space, are equal to one another." This, in truth, is not an axiom, but a definition. It is the...
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The definitions, postulates, axioms, and enunciations of the propositions of ...

Euclides - 1848 - 52 sider
...are equal to one another. VII. Things which are halves of the same, are equal to one another. VIII. Magnitudes which coincide with one another, that is,...exactly fill the same space, are equal to one another. IX. The whole is greater than its part. X. Two straight lines cannot inclose a space. XI. All right...
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The first three books of Euclid's Elements of geometry, with theorems and ...

Euclid, Thomas Tate - 1849 - 120 sider
...same, are equal to one another. vn. Things which are halves of the same, are equal to one another. vm. Magnitudes which coincide with one another, that is,...exactly fill the same space, are equal to one another. IX. The whole is greater than its part. x. Two straight lines cannot inclose a space. XI. All right...
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A Manual of Surveying for India, Detailing the Mode of Operations on the ...

Sir Henry Edward Landor Thuillier - 1851 - 826 sider
...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. 8. Magnitudes which coincide...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 sider
...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. 8. Magnitudes which coincide...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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The first two books of the Elements of Euclid, with additional figures ...

Euclides - 1852 - 152 sider
...are equal to one another. VII. Things which are halves of the same, are equal to one another. VIII. Magnitudes which coincide with one another, that is,...exactly fill the same space, are equal to one another. IX. The whole is greater than its part. X. Two straight lines cannot inclose a space. Fig. 1. Fig....
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