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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.
The Propositions of the Fifth Book of Euclid Proved Algebraically: with an ... - Page 25
by George Sturton Ward - 1862 - 79 pages

The College Euclid: Comprising the First Six and the Parts of the Eleventh ...

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;...

Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson ...

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...

The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

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;...

The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

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...

Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

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,...

The Elements of Euclid, containing the first six books, with a selection of ...

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, Book V. Proved Algebraically, So Far as it Relates to Commensurable ...

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...

Elements of Euclid Adapted to Modern Methods in Geometry

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,...