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" A LESS magnitude is said to be a part of a greater magnitude, when the less measures the greater, that is, ' when the less is contained a certain number of times exactly in the greater. "
The Propositions of the Fifth Book of Euclid Proved Algebraically: with an ... - Page 25
by George Sturton Ward - 1862 - 79 pages
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1806 - 320 pages
...the other. Thus, A>B signifies that A is greater than B ; and A<B signifies that A is less than B." DEFINITIONS. I. A LESS magnitude is said to be a part...certain number of times, exactly, in the greater. II. A greater magnitude is said to be a multiple of a less, when die greater is measured by the less,...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1806 - 546 pages
...equilateral and equiangular quindecagon, and circumscribed about it. THE ELEMENTS OF EUCLID. BOOK V. DEFINITIONS. I. A LESS magnitude is said to be a part of a greater magnitude, Book V. when the less measures the greater, that is, ' when the less is *•- v"~* • contained a...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - Geometry - 1810 - 554 pages
...equilateral and equiangular quindecagon, and circumscribed about itELEMENTS OF EUCLID. • BOOK V. DEFINITIONS. I. A LESS magnitude is said to be a part of a greater magni-. tude, when the less measures the greater, that is, ' when the less • is contained a certain...
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Pantologia. A new (cabinet) cyclopędia, by J.M. Good, O. Gregory ..., Volume 5

John Mason Good - 1813 - 714 pages
...Prob. To inscribe an equilateral and equiangular quindecagon in a given circle. Book V. Def. 1. — A less magnitude is said to be a part of a greater magnitude, when the less m«asuret the greater, that is, when the less is contained a, certain number of tiuies exactly in the...
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The Elements of Euclid; viz. the first six books, together with the eleventh ...

Euclides - 1814 - 560 pages
...part of a greater magni- BooR V. tude, when the less measures the greater; that is,' when s -*v"*' ' the less is contained a certain number of times exactly ' in the greater." II. A greater magnitude is said to be a multiple of a less, when the greater is measured by the less...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 588 pages
...be a part of a greater magni- BooK tude, when the less measures the greater ; that is, 'when ^v-" * the less is contained a certain number of times exactly ' in the greater.' II. A greater magnitude is said to be a multiple of a less, when the greater is measured by the less...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Circle-squaring - 1819 - 350 pages
...other. Thus A " 7 B signifies that A is greater than B ; and AVB signifies that A " is less than B." DEFINITIONS. I. A less magnitude is said to be a part...certain number of times, exactly, in the greater. *IL A greater magnitude is said to be a multiple of a less, when the greater is measured by the less,...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid, Robert Simson - Geometry - 1821 - 514 pages
...equiangular quindecagon, and circumscribed about it. THB r ELEMENTS OF EUCLID. BOOK V. DEFINITIONS. .• IA LESS magnitude is said to be a part of a greater magnitude,...less measures the greater, that is, ' when the less ia contained a certain number of times exactly in the greater.' II. A greater magnitude is said to...
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Universal Technological Dictionary: Or, Familiar Explanations of ..., Volume 2

George Crabb - Industrial arts - 1823 - 704 pages
...quantity : thus the ratio of 2 to 1, or of AB to AG, fig. 31, is double; that of 3 to 1, triple, &c. — A less magnitude is said to be a part of a greater when the less measures the greater, or is contained in it a certain number of times exactly: thus AG...
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An Elementary Treatise on Algebra: Theoretical and Practical

James Ryan - Algebra - 1824 - 550 pages
...D. THE ELEMENTS OF EUCLID, BOOK V. Definitions, A less magnitude is said to be Apart of a greater, when the less measures the greater, that is, when...a certain number of times exactly in the greater. II. A greater magnitude is said to be a multiple, of a less, when the greater is measured by the less,...
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