 | Paul Carus - Philosophy - 1893 - 254 pages
...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,... | |
 | Mines and mineral resources - 1894 - 330 pages
...position or beginning of magnitude, but which has no magnitude, ie has neither length, breadth, or thickness. A Line is length without breadth. The extremities of a line are points. A Straight Line is that * .n which lies evenly between Fi«-1its extreme points, and is the shortest distance between any two... | |
 | Augustus De Morgan - Algebra - 1898 - 316 pages
...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,... | |
 | Charles Wareing Endell Bardsley - Names, Personal - 1898 - 680 pages
...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... | |
 | Euclid, Henry Sinclair Hall, Frederick Haller Stevens - Euclid's Elements - 1900 - 330 pages
...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... | |
 | Euclid - Euclid's Elements - 1904 - 488 pages
...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... | |
 | Joseph H. Rose - Sheet-metal work - 1906 - 340 pages
...connection with the subject matter in the book. THE AUTHOR. GEOMETRICAL DEFINITIONS OF PLANE FIGURES. A line is length without breadth. The extremities...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... | |
 | William Hughes - 1908 - 942 pages
...no magnitude : ie a point indicates position only A Line is length without breadth. Its extremities are points. A Straight Line is that which lies evenly between its extreme points. A Plane is that which has only length and breadth, and is such that any two points being given, a straight... | |
 | Hastings Berkeley - Mathematics - 1910 - 279 pages
...Geometry, Part I/ in the Encyclopaedia Britannica,1 when he remarks that ' Euclid's Definition 4, 1 — A straight line is that which lies evenly between its extreme points — must be meaningless to any one who has not the notion of straightness in his mind/ And the remark... | |
 | James Welton, Alexander James Monahan - Logic - 1911 - 544 pages
...another number. (6) A legislator is a member either of the House of Commons or of the House of Lords. (c) A straight line is that which lies evenly between its extreme points. (d) An idle person is one who will not work when he can. 4. Show by examples the nature of the mistakes... | |
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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. 
