| James Ryan, Robert Adrain - Algebra - 1824 - 542 pages
...to D ; or, A has the same ratio to B that C has to D. THE ELEMENTS OF EUCLID, BOOK V. Definition!* **I. • A less magnitude is said to be a part of a greater,** when the less measures the greater, that is, when the less is contained a certain number of times exactly... | |
| Peter Nicholson - Mathematics - 1825 - 1046 pages
...given equilateral and equiangular quindecagon, and circumscribed about it. BOOK V. DEFINITIONS. I. A UM **magnitude is said to be a part of a greater magnitude, when the** leo measures the greater ; that is, ' when the less is contained a cer' tain number of time* exactly... | |
| John Playfair - Circle-squaring - 1826 - 326 pages
...the other. Thus A ~7 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...less measures the greater, that is, when the less is** eontained a. eertain number of times, exaetly, in the greater. II. A greater magnitude is said to be... | |
| James Ryan - Algebra - 1826 - 430 pages
...to B as C is to D ; or, A hag the same ratio to B that C has to D. THE ELEMENTS OF EUCLID, BOOK V. **Definitions. I. A less magnitude is said to be a part of a greater,** when the less measures the greater, that is, when the less is contained a certain number of times exactly... | |
| Robert Simson - Trigonometry - 1827 - 546 pages
...and equiangular quindecagon, and circumscribed about it. THE ELEMENTS OF EUCLID. BOOK V. DEFINITIONS. **A LESS magnitude is said to be a part of a greater...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,... | |
| Euclid, Dionysius Lardner - Euclid's Elements - 1828 - 544 pages
...circumference, and AB is the side of the inscribed equilateral quindecagon. BOOK V. DEFINITIONS. (442) **I. A less magnitude is said to be a part of a greater...a certain number of times exactly in the greater.** The word ' part, ' as applied in this definition, signifies an aliquot part or submultiple. One quantity... | |
| Euclid, Robert Simson - Geometry - 1829 - 548 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...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,... | |
| John Playfair - Geometry - 1829 - 210 pages
...their elements of geometry. Proportion is not properly a geometrical subject. B . t PROPORTION. 1. **A less magnitude is said to be a part of a greater...measures the greater, that is, when the less is contained** in the greater a certain number of times exactly. 2. A greater magnitude is said to be a multiple of... | |
| John Playfair - Euclid's Elements - 1832 - 358 pages
...signifies that A is greater than B; and A L. B signifies that " A is less than B." DEFINITIONS. 1. **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 - 1834 - 518 pages
...equiangular quindecago i, and circumscribed about it. THE ELEMENTS OF EUCLID. BOOK V. DEFINITIONS. LA **LESS magnitude is said to be a part of a greater magnitude,...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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