 | 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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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. 
