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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. vm. "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 synoptical Euclid; being the first four books of Euclid's Elements of ... - Side 1
av Euclides - 1853
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The English Cyclopaedia

1867
...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 straightuess and every thing eke ia contained...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1868 - 410 sider
...POINT is 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

Septimus Tebay - 1868 - 115 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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The Acting Teacher's and Student's in Training Guide and Text Book for ...

Henry Major - 1873
...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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The Elements of Euclid, containing the first six books, with a selection of ...

Euclides - 1874
...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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A School Euclid. Being Books I.&II. of Euclid's Elements. With Notes ...

Euclides - 1874
...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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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1876 - 403 sider
...POINT 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...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 - 119 sider
...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
...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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The elements of plane geometry, from the Sansk. text of Ayra Bhatta, ed. by ...

Āryabhaṭa - 1878
...I. A point is that which, has no parts, or magnitude. II. • A line is length without breadth. III. The extremities of a line are points. IV. A straight line is the shortest distance between two points. T. A figure is that which is enclosed by one or moro boundaries....
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