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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 each other in a plane, which meet together, but are not in the same... "
The text of Euclid's geometry, book 1, uniformly and systematically arranged ... - Σελίδα 65
των Euclides - 1884
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1762 - 488 σελίδες
...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;...

The Elements of Euclid, Viz: The Errors, by which Theon, Or Others, Have ...

Robert Simson - 1775 - 534 σελίδες
...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....

The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1781 - 534 σελίδες
...BOOK I. DEFINITIONS. A IPoint is thatwhich hath no parts, or which hath no magnitude. ace Not,-1. 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...

The First Six Books: Together with the Eleventh and Twelfth

Euclid - 1781 - 552 σελίδες
...BOOK I. DEFINITIONS* I. Point is that which hath no parts, or which hath no mag- See 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...

The Elements of Euclid: Viz. the First Six Books, with the Eleventh and ...

Alexander Ingram - 1799 - 374 σελίδες
...ELEMENTS OF .EUCLID. BOOK I. DEFINITIONS. ,\ I. . PO1NT has fituation, but not magnitude. SeeNoUS» 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...

The Elements of Euclid: Also the Book of Euclid's Data ...cor. viz. The ...

Robert Simson - 1804 - 530 σελίδες
...BOOK I. DEFINITIONS. I. .Point is thatwhich hathno parts,of which hathno magnitude. See 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...

The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1806 - 546 σελίδες
...DEFINITIONS. I. Book I. A POINT is that which hath no parts, or which hath no mag- s^*" nitude- No'es. 11» A line is length without breadth. III. The extremities...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...

The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1810 - 554 σελίδες
...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...

Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., Τόμος 5

John Mason Good - 1813 - 714 σελίδες
...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...

Geometrical and Graphical Essays: Containing a General Description of the ...

George Adams - 1813 - 648 σελίδες
...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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