 | Marianne Nops - 1882 - 278 pages
...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 or surface is that which has only length and breadth.' G. ' The extremities of a... | |
 | Euclides - 1883 - 176 pages
...Theorem is true. BOOK I. Definitions. 1. A point is that which has position, but not magnitnde. 2. A line is length without breadth. The extremities of a line are points, and the intersection of one line with another is a point. 3. A straight line is such that any part... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1883 - 428 pages
...has 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 has only length and breadth. 6. The extremities of a superficies are... | |
 | Euclides - 1884 - 214 pages
...no magnitude. IL A line is length, without breadth. III. The extremities of a line are points. IV. A straight line is that which lies evenly between its extreme points. V. A superficies is that which has only length and breadth. VI. The extremities of a superficies are... | |
 | 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.... | |
 | Euclides - 1884 - 182 pages
...redundant. 3. LINES. 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. A physical line has breadth, however little, and even some thickness or depth ; we could not sec its... | |
 | Stewart W. and co - 1884 - 272 pages
...no magnitude. II. A line is length without breadth. III. Points are the extremities of a line. TV. A straight line is that which lies evenly between its extreme points. V. A superficies has only length and breadth. VI. The extremities of a superficies are lines. VII.... | |
 | Ontario. Legislative Assembly - Ontario - 1887 - 712 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 line... | |
 | 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... | |
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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. 
