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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

## An Elementary Treatise on Algebra: Theoretical and Practical

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...

## A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

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...

## Elements of Geometry: Containing the First Six Books of Euclid, with a ...

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...

## An Elementary Treatise on Algebra: Theoretical and Practical ...

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...

## The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

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,...

## The First Six Books of the Elements of Euclid, with a Commentary and ...

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...

## The Elements of Euclid: Viz, the First Six Books, Together with the Eleventh ...

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,...

## Elements of Geometry: Being Chiefly a Selection from Playfair's Geometry

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...