| Euclid - 1835 - 540 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** magni- Book V. tude, when the less measures the greater; that is, 'when v«»v"-'' ' the less is contained... | |
| Mathematics - 1836 - 488 pages
...circle, when the extremities of it are in the circumference of the circle. BOOK v. — DEFINITIONS. 1. **A less magnitude is said to be a part of a greater...certain number of times, exactly, in the greater.** 2. A greater magnitude is said to be a multiple of a less, when the greater is measured by the less,... | |
| Andrew Bell - Euclid's Elements - 1837 - 290 pages
...circle, its opposite sides are together equal to half its perimeter. FIFTH BOOK. DEFINITIONS. _ 1. **A less magnitude is said to be a part of a greater...a certain number of times exactly in the greater.** It is also called a measure, or sul/multiple of the greater. 2. A line, which is a measure of two or... | |
| John Playfair - Euclid's Elements - 1837 - 332 pages
...mn is the product of m into n; and mnA is A mul' tiplied by the product of m into n. DEFINITIONS. 1. **A less magnitude is said to be a part of a greater...certain number of times, exactly, in the greater.** 2. A greater magnitude is said to be a multiple of a less, when the greater is measured by the less,... | |
| Euclid, James Thomson - Geometry - 1837 - 410 pages
...magnitude is said to measure a greater, or to be a measure, a part, or a submulliple of the greater, **when the less is contained a certain number of times, exactly, in the greater** : and 2. The greater is said to be a multiple of the less.* 3. Magnitudes which can be compared in... | |
| Euclid - Geometry - 1838 - 470 pages
...quindecagon, and circumscribed about it. • See Note, THE ELEMENTS OF EUCLID. BOOK V. DEFINITIONS. **A LESS magnitude is said to be a part of a greater...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,... | |
| Euclides - 1840 - 194 pages
...APPENDIX D. [95] BOOK V. DEFINITIONS. 1. A less magnitude is said to be a PART (that is, an aliquot **part) of a greater magnitude, when the less measures...contained a certain number of times exactly in the greater** ; and in this case the less is said to be a SUBMULTIPLE of the greater). 2. A greater magnitude is... | |
| Euclides - Geometry - 1841 - 378 pages
...l4+l. So also may regular polygons of 257 and 65537 sides. M 2 126 THE ELEMENTS OF EUCLID. BOOK V. **DEFINITIONS. * I. A LESS magnitude is said to be 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,... | |
| Oliver Byrne - Ratio and proportion - 1841 - 140 pages
...November, 1840. BOOK V. DEFINITIONS. I. A LESS magnitude is said to be an aliquot part or submultiple **of a greater magnitude, when the less measures the...a certain number of times exactly in the greater.** Thus, if ° ° be contained in S nnnnn three times ехас11y> the former is said to be a submultiple... | |
| John Playfair - Euclid's Elements - 1842 - 332 pages
...is the product of m into n ; and mnA. is A mul" tiplied by the product of m into n. DEFINITIONS. 1. **A less magnitude is said to be a part of a greater...certain number of times, exactly, in the greater.** 2. A greater magnitude is said to be a multiple o£ a less, when the greater is measured by the less,... | |
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