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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 ... - Page 1
by Euclides - 1853
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1762 - 466 pages
...8e* II. A line is length without breadth. in. The extremities of a line are points. IV. A ftraight line is that which lies evenly between its extreme points. V. A fuperficies is that which hath only length zhd breadth. VL The extremities of a fuperficies are lines;...
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The Elements of Euclid, Viz: The Errors, by which Theon, Or Others, Have ...

Robert Simson - Trigonometry - 1775 - 520 pages
...nitude. A line is length without breadth. in. The extremities of a line are points. IV. A ftraight line is that which lies evenly between its extreme points. * . ' V. A fuperficies is that which hath only length and breadth* VI. The extremities of a fuperficies are lines....
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The First Six Books: Together with the Eleventh and Twelfth

Euclid - 1781 - 550 pages
...Notes. nitude. A line is length without breadth. III. The extremities of a line are points. A ftraight line is that which lies evenly between its extreme points. V. A fuperficies is that which hath only length and breadth. VI. The extremities of a fuperficies are lines....
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The Elements of Euclid: Viz. the First Six Books, with the Eleventh and ...

Alexander Ingram - Trigonometry - 1799 - 351 pages
...II. A line is length without breadth. III. The extremities of a line are points. • iy. A ftraight line is that which lies evenly between its extreme points. V. A fuperficies is that which hath only length and breadth. VI. The extremities of a fuperficies are lines....
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The Elements of Euclid: Also the Book of Euclid's Data ...cor. viz. The ...

Robert Simson - Trigonometry - 1804
...Notes. II. A line is length' without breadth. III. The extremities of a line are points. IV. A ftraight line Is that which lies evenly between its extreme points. V. A fuperficies is that which hath only length and ti^adth. V VI. The extremities of a fuperficies are...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1806 - 518 pages
...hath no parts, or which hath no mag- s^*" nitude- No'es. 11» A line is length without breadth. III. The extremities of a line are points. , IV. A straight...its extreme points. V. A superficies is that which hath only length and breadth. The extremities of a superficies are lines. VII. A plane superficies...
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A Course of Mathematics ...: Designed for the Use of the Officers ..., Volume 1

Isaac Dalby - Mathematics - 1807 - 476 pages
...direction between its extremities ; and is the shortest distance between two points. 7. A plane, or plane superficies, is that in which any two points being taken, the right line between them lies wholly ia that plane or superficies. 8. A rectilineal angle is the inclination...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - Geometry - 1810 - 518 pages
...straight line is that which lies evenly between its extreme points. V. A superficies is that which hath only length and breadth. VI. The extremities of a...superficies is that in which any two points being taken, See N-. the straight line between them lies wholly in that superficies. VIII. " A plane angle is the...
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Pantologia. A new (cabinet) cyclopędia, by J.M. Good, O. Gregory ..., Volume 5

John Mason Good - 1813 - 722 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 extremitin of a superficies are...
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Geometrical and Graphical Essays: Containing a General Description of the ...

George Adams - Geometry - 1813 - 648 pages
...considered by geometricians, as that which has no parts or magnitude. A line is length without breadth. A straight line is that which lies evenly between its extreme points or ends. A superJicics is that which has only length and breadth. A plane angle is an opening, or comer,...
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