 | Perry Fairfax Nursey - 1846 - 536 σελίδες
...definitions of the plane and parallel lines. Thus, the lines being parallel they are in one plane ; and a plane superficies is that in which any two points being taken, tho straight line which joins them lies wholly in that plane, defs. 35 and 7, book i. These are definitions... | |
 | Euclides - 1847 - 128 σελίδες
...termination — as circles and other curvilinear figures — are not of course taken into the account. 4. A straight line is that which lies evenly between its extreme points. In other words, it is the shortest of all lines which have the same extreme points, according to the... | |
 | Euclides - 1848 - 52 σελίδες
...parts, or which has no magnitude. II. A line is length without breadth. III. The extremities of lines are points. IV. A straight line is that which lies...has only length and breadth. VI. The extremities of superficies are lines. , VII. A plane superficies is that in which any two points being taken, the... | |
 | Euclid, Thomas Tate - 1849 - 120 σελίδες
...is that which hath no parts, or which hath no magnitude. H. A line is length without breadth. m. The extremities of a line are points. IV. A straight line...its extreme points. v. A superficies is that which hath only length and breadth. VI. The extremities of a superficies are lines. VII. A plane superficies... | |
 | Euclides - 1852 - 152 σελίδες
...hath no BOOK I. magnitude. A uc D II. A line is length without breadth. A. ' " B — C D aIII. The extremities of a line are points. ' IV. A straight...that which lies evenly between its extreme points. [A, B, C, above, are straight lines ; D, E are not straight, lines, but curves.] B BOOK I. y A superficies... | |
 | Popular educator - 1852 - 842 σελίδες
...lines ; and surfaces intersect or cross each other in lines. A plane turf act, or plane, is a surface in which any two points being taken, the straight line between them lies wholly in that surface ; or, it is that surface with which a straight line wholly coincides, when applied to it in... | |
 | Euclides - 1853 - 176 σελίδες
...that which hath no parts, or which hath no magnitude. II. A line is length without breadth. III. The extremities of a line are points. IV. A straight line...its extreme points. V. A superficies is that which hath only length and breadth. VI. The extremities of a superficies are lines. VII. A plane superficies... | |
 | J. A. Beil - 1855 - 756 σελίδες
...that has length and breadth only) (Geom.) * Die Flache, Oberflciche * Surface,/. The plane surface (that in which any two points being taken the straight line between them lies wholly in that surface) * Die Ebenc, die ebene Flache « Plan, m. The curved surface (that which gives a curve, when... | |
 | Royal Military Academy, Woolwich - 1853 - 400 σελίδες
...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... | |
 | William Somerville Orr - 1854 - 534 σελίδες
...BOOK I. DEFINITIONS. I. К point has no magnitude : it bas position only. ii. A lint is length only. A straight line is that which lies evenly between its extreme points. It is distinguished by uniformity of direction : a straight line is a stretched line. A surface, or... | |
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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. VIII. A plane angle is the inclination of two lines to one another in a plane, which meet together, but are not in the same... 
