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" Those magnitudes of- which the same, or equal magnitudes, are equimultiples, are equal to one another. 3. A multiple of a greater magnitude is greater than the same multiple of a less. 4. That magnitude of which a multiple is greater than the same multiple... "
Euclid, book v. proved algebraically, so far as it relates to commensurable ... - Side 45
av Charles Lutwidge Dodgson - 1874
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1762 - 488 sider
...the fame, or of equal magnitudes, are equal to one another. ft. Thofc magnitudes of which the fame, or equal magnitudes, are equimultiples, are equal...multiple of a greater magnitude is greater than the fame multiple of alefs. • 4-. Prop. Lib. ». Archimedis ds fphacra et cylindfo. IV, That IV. ; Book...
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The First Six Books: Together with the Eleventh and Twelfth

Euclid - 1781 - 552 sider
...Prop. lib. %, Archimcdit de fphacra et cylindr*. II. . • Bbbk V.^ Thofe magnitudes of which the fame, or equal magnitudes, are equimultiples, are equal...multiple of a greater magnitude is greater than the fame multiple of a lets. IV. . ^ . That magnitude of which a multiple is greater than the fame multiple...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1781 - 534 sider
...magnitude?, are equal to one another. IT. Thofe magnitudes of which the fame, or equal magnitudes, ape equimultiples, are equal to one another. III. A multiple of a greater magnitude is greater than the fame maltipleef a Ids. • 4* Prop. Lib, i. Ardumcdis dc fphacra I'hat magnitude of which a multiple...
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Elements of Geometry;: Containing the First Six Books of Euclid, with Two ...

Euclid, John Playfair - 1795 - 462 sider
...the fame, or af equal magnitudes, are equal to one another. II. Thofe magnitudes of which the fame, or • equal magnitudes, are equimultiples, are equal...multiple of a greater magnitude is greater than the fame multiple of a lefs. IV. That magnitude of which a multiple is greater than the fame multiple ot...
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The Elements of Euclid: Also the Book of Euclid's Data ...cor. viz. The ...

Robert Simson - 1804 - 530 sider
...fame, or of equal magnitudes, are equal to one another. • II. Thofe magnitudes of which the fame, or equal magnitudes, are equimultiples, are equal...multiple of a greater magnitude is greater than the fame multiple of a lefs. * 4. Prop. Lib. i. Archimedis de fphaera et cylindro. IV. That magnitude of...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 588 sider
...magnitudes, are equal to one another. , " . . .• 4 Prop. lib. 2. Archimcdia de sphau.a et cjlindro. Those magnitudes of which the same, or equal magnitudes,...of a less. IV. That magnitude of which a multiple isgreaterthan the same multiple of another, is greater than that other magnitude. PROP. I. THEOR. IF...
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Elements of Geometry: Containing the First Six Books of Euclid: With a ...

John Playfair - 1819 - 354 sider
...equal to one another. II. Those magnitudes of which the same, or equal magnitudes, are equi multiples, are equal to one another. III. A multiple of a greater...magnitude of which a multiple is greater than the same multiplf of another, is greater than that other magnitude. PROP. I. THEOR. If anif number of magnitudes...
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An Elementary Treatise on Algebra: Theoretical and Practical

James Ryan - 1824 - 550 sider
...Equimultiples of the same, or of equal magnitudes, are equal. II. These magnitudes of which the «ame, or equal magnitudes, are equimultiples, are equal...multiple of a greater magnitude is greater than the same-multiple of a less. IV. That magnitude of which a multiple is greater than the same multiple of...
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An Elementary Treatise on Algebra: Theoretical and Practical ...

James Ryan - 1826 - 430 sider
...B, B toC, C to D. AXIOMS. I. Equimultiples of the same, or of equal magnitudes, are equal. II. These magnitudes of which the same, or equal magnitudes,...greater magnitude is greater than the same multiple ofa less. IV. That magnitude of which a multiple is greater than the same multiple of another, is greater...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - 1826 - 326 sider
...EQUlMULTlPLES of the same, or of equal magnitudes, are equal to oi\e another. H. Those magnitudes of whieh the same, or equal magnitudes, are equimultiples,...magnitude is greater than the same multiple of a less. IT. That magnitude of whieh a multiple is greater than the same multiple of another, is greater than...
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