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" A straight line is that which lies evenly between its extreme points. "
The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ... - Side 1
af Euclides - 1816 - 528 sider
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The Elements of Euclid; viz. the first six books, together with the eleventh ...

Euclides - 1814 - 560 sider
...I. DEFINITIONS. I. P0INT is that which hath no parts, or which hath no Boo' I. magnitude. v -^v~' II See Notes. A line is length without breadth. III. The extremities of a line are points. A straight line is that which lies evenly between its extreme points. V. A superficies is that which...
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A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - 1825 - 1046 sider
...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 extremities of a superficies are...
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The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - 1827 - 546 sider
...I. DEFINITIONS. I. A POINT is that which hath no parts, or which hath no See Note*, magnitude. II. A line is length without breadth. III. The extremities...plane superficies is that in which any two points be- See N. ing taken, the straight line between them lies wholly in that superficies. B VIII. See N....
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Elements of Geometry: With Notes

John Radford Young - 1827 - 228 sider
...by any definition, a better notion of it than the mere mention of its name suggests. Euclid says, " A straight line is that which lies evenly between its extreme points*;" a definition which is both unsatisfactory and useless. Others, following Archimedes, define it as "the...
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On the study and difficulties of mathematics [by A. De Morgan].

Augustus De Morgan - 1831 - 108 sider
...on that subject. A point is defined to be that " which has no parts, and which has no magnitude ;" a straight line is that which " lies evenly between its extreme points." Now, let any one ask himself whether he could have guessed what was meant, if, before he began geometry,...
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The Elements of Euclid; viz. the first six books, together with the eleventh ...

Euclides - 1834 - 518 sider
...BOOK r. DEFINITIONS. I. A POINT is that which hath no parts or which hath no See Vo«n. magnitude. II. A line is length without breadth. III. The extremities...V. A superficies is that which hath only length and brendth. VI. The extremities of a superficies are lines. VII. A plane superficies is that in which...
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The Elements of Euclid: viz. the first six books, together with the eleventh ...

Robert Simson - 1835 - 544 sider
...that which hath no parts, or which hath no mag- Book I. nitude. ° v—v»' •ft , See Nolus. II. A line is length without breadth. III. The extremities...The extremities of a superficies are lines. VII. A plain superficies is that in which any two points being See N. taken, the straight line between them...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1835 - 540 sider
...I. A point is that which hath no parts, or which hath no mag- Book I. nitude. v^y^/ See Notes. II. A line is length without breadth. III. The extremities...which lies evenly between its extreme points. V. A super/ides is that which hath only length and breadth. VI. The extremities of a superficies are lines....
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Library of Useful Knowledge: Mathematics I.

1836 - 352 sider
...cannot be mistaken for one moment, unless it be by means of the attempt to explain them by saying that a straight line is ' that which lies evenly between its extreme points.' The line and surface are distinct species of magnitude, as much so as the yard and the acre. The first...
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Euclid's Elements [book 1-6] with corrections, by J.R. Young

Euclides - 1838 - 264 sider
...extremities of a line are points; and the intersection of one line with another is also a point. IB. A straight line is that which lies evenly between its extreme points. The idea of a geometrical straight line may be gained from that of a physical stretched line or thread....
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