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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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Historic Oddities and Strange Events

Sabine Baring-Gould - 1889 - 340 sider
...points without establishing, in idea, a line between them, indeed, according to Euclid's definition, a. straight line is that which lies evenly between its extreme points, and a line is length without breadth or substance. So, if we conceive of two snails, weestablish a...
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The Harpur Euclid: An Edition of Euclid's Elements

Edward Mann Langley, W. Seys Phillips - 1890 - 538 sider
...has no magnitude. 2. A Line is length without treadth. 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: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1892 - 460 sider
...without breadth. The extremities of a line are points, and the intersection of two lines is a point. 3. A straight line is that which lies evenly between its extreme points. Any portion cut off from a straight line is called a segment of it. 4. A surface is that which has...
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Primer of Philosophy

Paul Carus - 1893 - 254 sider
...tendency to regard the path of a ray of light as the prototype of straight lines in geom* Euclid says : "A straight line is that which lies evenly between its extreme points." etry. The fact, however, is that light does not travel in straight lines or on paths of shortest time,...
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Colliery Surveying: A Primer Designed for the Use of Students and Colliery ...

Thomas Aloysius O'Donahue - 1896 - 184 sider
...length, breadth, nor thickness. A line is length without breadth. The extremities of a line are points. A straight line is that which lies evenly between its extreme points, and is the shortest distance between any two points, as AB (Fig. 16). CHAP. Ill II same straight line,...
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On the Study and Difficulties of Mathematics

Augustus De Morgan - 1898 - 316 sider
...treatises 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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English Surnames: Their Sources and Significations

Charles Wareing Endell Bardsley - 1898 - 680 sider
...there may be a beauty in an erection which reminds you in perpetuity of the great Euclidian truth that a straight line is that which lies evenly between its extreme points, but at times it puts one in sober mood to think all the touches of a past time are to fade away, and...
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A Text-book of Euclid's Elements for the Use of Schools. Books I.-VI ..., Bog 1

Euclid, Henry Sinclair Hall, Frederick Haller Stevens - 1900 - 330 sider
...breadth. 3. The extremities of a line are points, and the intersection of two lines is a point. 4. A straight line is that which lies evenly between its extreme points. Any portion cut off from a straight line is called a segment of it. 5. A surface (or superficies) is...
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A Text-book of Euclid's Elements for the Use of Schools, Bog 1

Euclid - 1904 - 488 sider
...breadth. 3. The extremities of a line are points, and the intersection of two lines is a point. / 4. A straight line is that which lies evenly between its extreme points. Any portion cut off from a straight line is called a segment of it. 5. A surface (or superficies) is...
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Modern Sheet-metal Workers' Instructor: Practical Geometry, Mensuration ...

Joseph H. Rose - 1906 - 340 sider
...DEFINITIONS OF PLANE FIGURES. A line is length without breadth. The extremities of a line are points. A straight line is that which lies evenly between its extreme points. A plane surface is that in which any two points, being taken, the straight line between them lies wholly...
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