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" A straight line is that which lies evenly between its extreme points. "
The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ... - Page 1
by Euclides - 1816 - 528 pages
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The Elements of Euclid; viz. the first six books,together with the eleventh ...

Euclides - Geometry - 1841 - 378 pages
...EUCLID. BOOK I. DEFINITIONS. I. A point is that which hath no parts, or which hath no magnitude. II. A line is length without breadth. III. The extremities of a line are points. IV. A straigU line is that which lies evenly between its extreme points. V. A superficies is that which hath...
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Elements of geometry: consisting of the first four,and the sixth, books of ...

Euclides - 1842 - 316 pages
...DEFINITIONS. A POINT is that which has no parts, or which has no magnitude. IL A line is that which has length without breadth. III. The extremities of a...its extreme points. V. A superficies is that which has only length and breadth. VI. The extremities of a superficies are lines. VII. VIII. " A plane angle...
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A course of practical geometry for mechanics

William Pease - Geometry - 1843 - 80 pages
...attainment, is a clear comprehension of the theoretical and practical import of the above definitions. III. The extremities of a line are points. IV. A Straight...that which lies evenly between its extreme points. Lines are either Straight, Curved, or Mixed. 1. A Curved Line continually changes its direction between...
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Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ...

Euclides - 1845 - 546 pages
...magnitude. II. A line is length without breadth. III. The extremities of lines are points. IV. A right line is that which lies evenly between its extreme points. V. A superficies is that which has only length and breadth. VI. The extremities of superficies are lines. VII. A plane superficies...
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A system of practical mathematics; being no.xvi. of a new series of school-books

Scottish school-book assoc - 1845 - 444 pages
...but no magnitude. 2. A line is length without breadth. 3. The extremities of a line are points. 4. A straight line is that which lies evenly between its extreme points. 5. A superficies is that which hath only length and breadth. 6. The extremities of a superficies are...
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The Elements of Geometry, Symbolically Arranged

Great Britain. Admiralty - Geometry - 1846 - 128 pages
...L « «»&*• GEOMETRY. DEFINITIONS. I. A point is that which has position, but not magnitude. II. A line is length without breadth. III. The extremities...its extreme points. V. A superficies is that which has only length and breadth. VI. The extremities of a superficies are lines. VII. A plane superficies...
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The Elements of Geometry, Symbolically Arranged

Great Britain. Admiralty - Geometry - 1846 - 128 pages
...parallelogram. angle. B GEOMETRY. DEFINITIONS. I. A point is that which has position, but not magnitude. II. A line is length without breadth. III. The extremities...its extreme points. V. A superficies is that which has only length and breadth. VI. The extremities of a superficies are lines. VII. A plane superficies...
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The Elements of Euclid, the parts read in the University of Cambridge [book ...

Euclides - 1846 - 292 pages
...hath no magnitude. n. A line is length without breadth. nI, The extremities of a line are points. IT. A straight line is that which lies evenly between...breadth. vi. The extremities of a superficies are lines. vn. A plane superficies is that in which, any two points being taken, the straight line between them...
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The first book of Euclid's Elements, simplified, explained and illustrated ...

Euclides - 1847 - 128 pages
...termination — as circles and other curvilinear figures — are not of course taken into the account. 4. A straight line is that which lies evenly between its extreme points. In other words, it is the shortest of all lines which have the same extreme points, according to the...
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The definitions, postulates, axioms, and enunciations of the propositions of ...

Euclides - 1848 - 52 pages
...parts, or which has no magnitude. II. A line is length without breadth. III. The extremities of lines are points. IV. A straight line is that which lies...its extreme points. V. A superficies is that which has only length and breadth. VI. The extremities of superficies are lines. , VII. A plane superficies...
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