 | Stewart W. and co - 1884 - 146 pages
...ABS. EUCLID. SECTION L Define a straight line — a rhombus. Write out the 12th axiom of Euclid. 1. A straight line is that which lies evenly between its extreme points. 2. A rhombus is a four-sided figure which has all its sides equal, but its angles are not right angles.... | |
 | Ontario. Legislative Assembly - Ontario - 1887 - 720 pages
...beget within a lover of the beautiful in nature an uncontrollable desire to enter. The definition of a straight line is " that which lies evenly between its extreme points," or "the shortest distance between two extreme points." Fidelity to this definition guides most persons... | |
 | Sabine Baring-Gould - History - 1889 - 340 pages
...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... | |
 | Edward Mann Langley, W. Seys Phillips - 1890 - 538 pages
...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... | |
 | Euclid - Geometry - 1892 - 460 pages
...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... | |
 | 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,... | |
 | Thomas Aloysius O'Donahue - Mine surveying - 1896 - 186 pages
...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,... | |
 | Augustus De Morgan - Mathematics - 1898 - 316 pages
...placed upon that surface, we conclude that the surface is plane. Hence the definition of a plane surface is that in which, any two points being taken, the straight line joining these points lies wholly upon the surface. Two straight lines have a relation to one another... | |
 | 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... | |
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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... 
