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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 in the same... "
The elements of plane geometry; or, The first six books of Euclid, ed. by W ... - Side 3
av Euclides - 1863
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Arts and Sciences: Or, Fourth Division of "The English Encyclopedia", Volum 3

Charles Knight - 1867 - 530 sider
...of the word, followed by an assumption of a mathematical property under the shape of an axiom. Thus a straight line is " that which lies evenly between its extreme points ;" while the real definition, or distinction between straightness and every thing else is contained...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1868 - 434 sider
...that which has no parts, or which has 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 its extreme poin'.s. V. A superficies is that which has only length and breadth. VI. The extremities of a superficies...
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Elementary Mensuration for the use of schools, etc

Septimus Tebay - 1868 - 168 sider
...has 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 has length and breadth. 6. A plane superficies is that in which any...
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First book of mathematics

Hugo Reid - 1872 - 148 sider
...breadth. The edge or boundary of a surface is a line or lines. 15. A PLANE SURFACE, or PLANE, is a surface in which, any two points being taken, the straight line between them lies wholly in that surface ; that is, every point of such straight line touches the surface. A plane is a perfectly flat...
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The Acting Teacher's and Student's in Training Guide and Text Book for ...

Henry Major - 1873 - 588 sider
...or no magnitude. II. A line is length without breadth. HI. Points are the extremities of a line. TV. A straight line is that which lies evenly between its extreme points. V. A superficies has only length and breadth. VI. The extremities of a superficies are lines. VII. A plain superficies...
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Pure mathematics, Volum 1

Edward Atkins - 1874 - 426 sider
...surface) is that which has only length and breadth. 6. The extremities of a superficies are lines. 7. A plane superficies is that in which any two points...the straight line between them lies wholly in that si^perficies. 8. A plane angle is the inclination of two lines to one another in a plane, which meet...
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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
...a common segment. Thus, CA cannot be a continuation of both BC and DC. 6. A plane surface or plane is that in which any two points being taken, the straight line between them lies wholly in that surface. Cor.— Hence two plane surfaces cannot enclose a space; nor can one plane surface be the...
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A school Euclid, being books i. & ii. of Euclid's Elements, with notes by C ...

Euclides - 1874 - 120 sider
...has 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 has only length and breadth. 6. The extremities of a superficies are...
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The Elements of Euclid, containing the first six books, with a selection of ...

Euclides - 1874 - 342 sider
...has 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. 6. A superficies is that which has only length and breadth. 6. The extremities of superficies are lines....
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1876 - 446 sider
...is that which hag no parts, or which has no magnitude. n. A line is length without breadth. IIL The extremities of a line are points. IV. A straight line...that which lies evenly between its extreme points. ..,).,•;,.. 7A superficies is' that which has only length and breadth. ' VL The extremities of a...
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