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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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Arts and Sciences: Or, Fourth Division of "The English Encyclopedia", Volume 3

Charles Knight - Encyclopedias and dictionaries - 1867 - 530 pages
...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 pages
...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 are lines. VII. A plane superficies is that in which any two points being taken, the straight line between them...
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Elementary Mensuration for the use of schools, etc

Septimus Tebay - Measurement - 1868 - 168 pages
...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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The Acting Teacher's and Student's in Training Guide and Text Book for ...

Henry Major - Student teachers - 1873 - 580 pages
...parts, 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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A School Euclid. Being Books I.&II. of Euclid's Elements. With Notes ...

Euclides - 1874 - 120 pages
...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 pages
...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 - Geometry - 1876 - 446 pages
...has no magnitude. n. A line is length without breadth. IIL The extremities of a line are points. IV. A straight line is 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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Elements of geometry, based on Euclid, books i-iii

Edward Atkins - 1876 - 130 pages
...but not 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 (or surface) is that which has only length and breadth. 6. The extremities of a superficies...
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Elements of geometry, based on Euclid, book i

Edward Atkins - 1877 - 72 pages
...but not 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 (or surface) is that which has only length and breadth. 6. The extremities of a superficies...
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Euclid, books i. & ii., with notes, examples, and explanations, by a late ...

Euclides - 1879 - 146 pages
...extremities of lines are points. [It is clear that the intersections of lines are also points.] 4. A straight line is that which lies evenly between its extreme points. [When the direction of a line is known, the line is said to be given in position ; also when its length...
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