| Euclides - 1865 - 402 pages
...given equilateral and equiangular quindecagon, and circumscribed about it. 152 BOOK V. DEFINITIONS. **A LESS magnitude is said to be a part of a greater...a certain number of times exactly in the greater.** n. A greater magnitude is said to be a multiple of a less, when the greater is measured by the less;... | |
| Robert Potts - 1865 - 528 pages
...geometry ? Why is it so difficult to prove that the geometrical solution of such problems is impossible ? **DEFINITIONS. I. A LESS magnitude is said to be a part...the greater ; that is, ' when the less is contained** u certain number of times exactly in the greater.' II. A greater magnitude is said to be a multiple... | |
| Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...given equilateral and equiangular quindecagon, and circumscribed about it. BOOK V. DEFINITIONS. 1. **A LESS magnitude is said to be a part of a greater...a 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, Isaac Todhunter - Euclid's Elements - 1867 - 424 pages
...given equilateral and equiangular quiudecagon, and circumscribed about it. BOOK V. DEFINITIONS. 1. **A LESS magnitude is said to be a part of a greater...the less measures the greater ; that is, when the** loss is contained a certain number of times exactly in the greater. 2. A greater magnitude is saitl... | |
| Robert Potts - 1868 - 434 pages
...equal to the sum of the 2nd, 4th, 6th, &c. BOOK V. DEFINITIONS. I. A LESS magnitude is said to be apart **of a greater magnitude, when the less measures the...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 - 1874 - 342 pages
...given equilateral and equiangular quindecagon, and circumscribed about it. BOOK V. DEFINITIONS. 1. **A LESS magnitude is said to be a part of a greater...a 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, Lewis Carroll - Euclid's Elements - 1874 - 80 pages
...conclusion. greatest and least together are greater than other two. A :b :: a:B:: C:d. c:D. • • THE **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... | |
| Euclid, James Bryce, David Munn (F.R.S.E.) - Geometry - 1874 - 236 pages
...BOOK V. DEFINITIONS. 1. A less magnitude is said to be a measure, part, or submultiple of a greater, **when the less is contained a 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,... | |
| Charles Lutwidge Dodgson - 1874 - 96 pages
...A:B::y:z^ В :C::x :y fyc. A : Z : : a : z. . . . X: Y::l:c A : b : a: Б : : C:d. :c:D. • • THE **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... | |
| Robert Potts - Geometry - 1876 - 446 pages
...polygon has the greatest area. BOOK V. DEFINITIONS. I. A LESS magnitude is said to be apart of a grealer **magnitude, when the less measures the greater ; that...a certain number of times exactly in the greater.'** n. A greater magnitude is said to be a multiple of a less, when the greater is measured by the less,... | |
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