| Āryabhaṭa - 1878 - 100 pages
...XXVI. Equal bases are the same base or different bases equal to one another. . [See Prop. 15]. XXVII. **A less magnitude is said to be a part of a greater...a certain number of times exactly in the greater.** XXVIII. _ A greater magnitude is said to be a multiple of a lees, when the greater is measured by the... | |
| Isaac Todhunter - Euclid's Elements - 1880 - 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;... | |
| Euclides - Euclid's Elements - 1881 - 236 pages
...contains oue fifteenth or cue of those parts, which is the side of the quiudecagoo requiied. BOOK V. **DEFINITIONS. I. A LESS magnitude is said to be a part...a certain number of times exactly in the greater.** The term part is here evidently understood in a restricted sense, and one which is commonly expressed... | |
| Euclid, Isaac Todhunter - Euclid's Elements - 1883 - 428 pages
...given equilateral and equiangular quindecagou, 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;... | |
| Euclides - 1884 - 434 pages
...circumscribed about the square. BOOK Y. DEFINITIONS. 1. A less magnitude is said to be a submultiple **of a greater magnitude, when the less measures the...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, John Casey - Euclid's Elements - 1885 - 340 pages
...simple algebraic proofs of his propositions. i. A less magnitude is said to be a part or submultiple **of a greater magnitude, when the less measures the...a certain number of times exactly in the greater.** m. Eatio is the mutual relation of two magnitudes of the same kind with respect to quantity. Iv. Magnitudes... | |
| Euclides - 1885 - 340 pages
...simple algebraic proofs of his propositions. i. A less magnitude is said to be a part or mbmv.Jtiple **of a greater magnitude, when the less measures the...a certain number of times exactly in the greater.** in. Eatio is the mutual relation of two magnitudes of the same kind with respect to quantity. iv. Magnitudes... | |
| Edward Mann Langley, W. Seys Phillips - 1890 - 538 pages
...Syllabus and Elements. Our obligations to De Morgan's works are very great. 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.** The word 'part' is used in the restricted sense of ' aliquot part' in Arithmetic. Sometimes a 'part'... | |
| Joseph Battell - Force and energy - 1903 - 722 pages
...concise mode of expression of the same nature with that which is in use in arithmetic,' etc. 'i. Д **less magnitude is said to be a part of a greater magnitude,...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,... | |
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