 | 1846 - 536 pages
...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, the straight line which joins them lies wholly in that plane, defs. 35 and 7, book i. These are definitions only, and... | |
 | Perry Fairfax Nursey - Industrial arts - 1846 - 536 pages
...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 pages
...continually diminishing to the verge of evanescence, and the theory and practice are easily reconciled. 7. A plane superficies is that in which any two points...line between them lies wholly in that superficies. A plane superficies is more fre- . quently called simply a plane ; and \ \ the derivation of the word... | |
 | Euclides - 1848 - 52 pages
...superficies is that which has only length and breadth. VI. The extremities of superficies are lines. , VII. A plane superficies is that in which any two points...line between them lies wholly in that superficies. VIII. A plane angle is the inclination of two lines to each other in a plane which meet together, but... | |
 | Euclid, Thomas Tate - 1849 - 120 pages
...superficies is that which hath only length and breadth. VI. The extremities of a superficies are lines. VII. A plane superficies is that in which any two points...line between them lies wholly in that superficies. vm. " A plane angle ia the inclination of two lines to one another in a plane, which meet together,... | |
 | Sir Henry Edward Landor Thuillier - Surveying - 1851 - 826 pages
...of a superficies are lines ; and the intersections of one superficies with another are also lines. A plane superficies is that in which any two points...line between them lies wholly in that superficies. A plane rectilineal angle is the inclination of two straight lines to one another, which meet together,... | |
 | Euclides - 1852 - 152 pages
...; that mjig. 2. by one straight line and two lines which are not straight lines, but curves.] VII. A plane superficies is that in which any two points...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,... | |
 | Popular educator - 1852 - 842 pages
...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 - 146 pages
...superficies is that which has only length and breadth. VI. The extremities of a superficies are lines. VII. A plane superficies is that in which any two points...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,... | |
 | Euclides - Geometry - 1853 - 176 pages
...superficies is that which hath only length and breadth. VI. The extremities of a superficies are lines. VII. A plane superficies is that in which any two points...line between them lies wholly in that superficies. VIII. A plane angk is the inclination of two lines to one another in a plane, which meet together,... | |
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A plane rectilineal angle is the inclination of two straight lines to one another, which meet together, but are not in the same straight line. 
