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" A plane superficies is that in which any two points being taken, the straight line between them lies wholly in that superficies. VIII. " A plane angle is the inclination of two lines to one " another in a plane, which meet together, but are not  "
Mensuration of Lines, Areas, Surfaces, and Volumes ... - Page xii
by Robert Rawson - 1856
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The first three books of Euclid's Elements of geometry, with theorems and ...

Euclid, Thomas Tate - 1849 - 120 pages
...hath no magnitude. H. A line is length without breadth. m. The extremities of a line are points. IV. A straight line is that which lies evenly between...breadth. VI. The extremities of a superficies are lines. VII. A plane superficies is that in which any two points being taken, the straight line between them...
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The first two books of the Elements of Euclid, with additional figures ...

Euclides - 1852 - 152 pages
...line is length without breadth. A. ' " B — C D aIII. The extremities of a line are points. ' IV. A straight line is that which lies evenly between its extreme points. [A, B, C, above, are straight lines ; D, E are not straight, lines, but curves.] B BOOK I. y A superficies...
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The first six books of the Elements of Euclid, with numerous exercises

Euclides - Geometry - 1853 - 176 pages
...no magnitude. II. A line is length without breadth. III. The extremities of a line are points. IV. A straight line is that which lies evenly between...breadth. VI. The extremities of a superficies are lines. VII. A plane superficies is that in which any two points being taken, the straight line between them...
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The synoptical Euclid; being the first four books of Euclid's Elements of ...

Euclides - 1853 - 146 pages
...has no magnitude. n. A line is length without breadth. in. The extremities of a line are points. IV. A straight 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 a superficies are lines. VII. A plane superficies...
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The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

Royal Military Academy, Woolwich - Mathematics - 1853 - 400 pages
...hath 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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Orr's Circle of the Sciences: Organic nature, vols. 1-3 (1854-1856)

William Somerville Orr - Science - 1854 - 534 pages
...BOOK I. DEFINITIONS. I. К point has no magnitude : it bas position only. ii. A lint is length only. A straight line is that which lies evenly between its extreme points. It is distinguished by uniformity of direction : a straight line is a stretched line. A surface, or...
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The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1855 - 270 pages
...are points. By the extremities of a line, are here meant, the beginning and the end of the line. IV. A straight line is that which lies evenly between its extreme points. " A straight line is" more clearly defined to be " that in which, if any two pointa be taken, the part...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - Geometry, Plane - 1860 - 380 pages
...has no magnitude. n. A line is length without breadth. m. The extremities of a line are points. IV. A straight 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 a superficies are lines. vn. A plane superficies...
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The school Euclid: comprising the first four books, by A.K. Isbister

Euclides - 1862 - 172 pages
...A line is length without breadth. III. The extremities of a line are points. IV. A straight line ia that which lies evenly between its extreme points....breadth. VI. The extremities of a superficies are lines. VII. A plane superficies is that in which any two points being taken, the straight line between them...
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Answers to questions on the instruction of musketry and the Hythe papers

Elphinstone Waters Begbie - Shooting, Military - 1862 - 96 pages
...so as to form a pike for the soldier. 9. It is an imaginary line along the centre of the barrel. 10. A straight line is that which lies evenly between its extreme points, and a line is length without breadth. 11. No; for although we may draw lines for all practical purposes,...
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