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" DEF. 2. A line has position, and it has length, but neither breadth nor thickness. The extremities of a line are points, and the intersection of two lines is a point. DEF. 3. A surface has position, and it has length and breadth, but not thickness. The... "
Stories about Mathematics-land - Side 72
av D. Ponton - 1927
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Elements of Geometry: Being Chiefly a Selection from Playfair's Geometry

John Playfair - 1829 - 210 sider
...Point is that which has position, but not magnitude. 2. A Line is length without breadth. Corollary. The extremities of a line are points; and the intersection of two lines is a point. 3. A straight line is that which every where tends the same way. See Note. ED. 4. Cor. Hence a straight...
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Elements of Euclid Adapted to Modern Methods in Geometry

Euclid, James Bryce, David Munn (F.R.S.E.) - 1874 - 236 sider
...surface with another is also a line. 4. A point is that which has position but not magnitude. Cor. — The extremities of a line are points; and the intersection of two lines is also a point. The simplest way of conceiving of a line is of its being the edge or boundary of a surface....
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Syllabus of Plane Geometry: (corresponding to Euclid, Books I-VI) ...

Association for the improvement of geometrical teaching - 1876 - 66 sider
...has no magnitude. DEF. 2. A line has position, and it has length, but neither breadth nor thickness. The extremities of a line are points, and the intersection of two lines is a point. DEF. 3. A surface has position, and it has length and breadth, but not thickness. The boundaries of...
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Elementary Geometry ...

James Maurice Wilson - 1878 - 450 sider
...no magnitude. Def. 2. A line has position, and it has length, but has neither breadth nor thickness. The extremities of a line are points, and the intersection of two lines is a point. Def, 3. A surface has position, and it has length and breadth, but not thickness. The boundaries of...
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Syllabus of plane geometry, books 1-3, corresponding to Euclid, books 1-4 ...

Mathematical association - 1883 - 86 sider
...has no magnitude. DEF. 2. A line has position, and it has length, but neither breadth nor thickness. The extremities of a line are points, and the intersection of two lines is a point. DEF. 3. A surface has position, and it has length and breadth, but not thickness. The boundaries of...
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Geometry for schools, comprising books i. and ii. of Euclid, with some ...

Euclides - 1883 - 176 sider
...is true. BOOK I. Definitions. 1. A point is that which has position, but not magnitnde. 2. A line is length without breadth. The extremities of a line are points, and the intersection of one line with another is a point. 3. A straight line is such that any part of it, however placed, will...
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The elements of plane geometry, Volum 1

Mathematical association - 1884 - 146 sider
...has no magnitude. DBF. 2. A line has position, and it has length, but neither breadth nor thickness. The extremities of a line are points, and the intersection of two lines is a point. DEF. 3. A surface has position, and it has length and breadth, but not thickness. The boundaries of...
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The Elements of Plane Geometry ...

Association for the improvement of geometrical teaching - 1884 - 150 sider
...has no magnitude. DEF. 2. A line has position, and it has length, but neither breadth nor thickness. The extremities of a line are points, and the intersection of two lines is a point. DEF. 3. A surface has position, and it has length and breadth, but not thickness. The boundaries of...
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The Elements of Euclid, books i. to vi., with deductions, appendices and ...

Euclides - 1884 - 434 sider
...position. 2. A line has position, and it has length, but neither breadth nor thickness. Hence the ends of a line are points, and the intersection of two lines is a point. A line is indicated by a stroke with a letter attached, as the line C. C Oftener, however, a letter is...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1892 - 460 sider
...EUCLID'S ELEMENTS. BOOK I. DEFINITIONS. 1. A point is that which has position, but no magnitude. 2. A line is that which has length without breadth. The...points, and the intersection of two lines is a point. 3. A straight line is that which lies evenly between its extreme points. Any portion cut off from a...
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