 | Edward Atkins - 1874 - 426 pages
...surface) is that which has only length and breadth. 6. The extremities of a superficies are lines. 7. A plane superficies is that in which any two points...the straight line between them lies wholly in that si^perficies. 8. A plane angle is the inclination of two lines to one another in a plane, which meet... | |
 | Euclid, James Bryce, David Munn (F.R.S.E.) - Geometry - 1874 - 236 pages
...a common segment. Thus, CA cannot be a continuation of both BC and DC. 6. A plane surface or plane is that in which any two points being taken, the straight line between them lies wholly in that surface. Cor.— Hence two plane surfaces cannot enclose a space; nor can one plane surface be the... | |
 | Euclides - 1874 - 120 pages
...in every direction and perfectly smooth in every part, we can easily imagine a " Plane superficies in which any two points being taken, the straight line between them shall lie wholly in that superficies." Def. 7. This notion or conception is what Euclid means by a... | |
 | Edward Atkins - 1876 - 130 pages
...surface) is that which has only length and breadth. 6. The extremities of a superficies are lines. 7. A plane superficies is that in which any two points...line between them lies wholly in that superficies. 8. A plane angle is the inclination of two lines to one another in a plane, which meet together, but... | |
 | Robert Potts - Geometry - 1876 - 446 pages
...superficies is' that which has only length and breadth. ' VL The extremities of a superficies are lines. VIL A plane superficies is that in which any two points being taken, tho straight line between them lies wholly in that superficies. VIIL A plane angle is the inclination... | |
 | Edward Atkins - 1877 - 72 pages
...surface) is that which has only length and breadth. 6. The extremities of a superficies are lines. 7. A plane superficies is that in which any two points...line between them lies wholly in that superficies. 8. A plane angle is the inclination of two lines to one another in a plane, which meet together, but... | |
 | Euclides - 1877 - 58 pages
...superficies is that which has only length and breadth. 6. The extremities of a superficies are lines. 7. A plane superficies is that in which, any two points...line between them lies wholly in that superficies. 8. A plane rectilineal angle is the inclination of two straight lines to one another, which meet together... | |
 | Moffatt and Paige - 1879 - 378 pages
...SECTION I. (One question.) (a) Define a plane superficies, an isosceles triangle, and an oblong. . A plane superficies is that in which, any two points...line between them lies wholly in that superficies. (6) Explain the term Axiom: write out the eleventh axiom ; in which proposition is this axiom first... | |
 | Moffatt and Paige - 1879 - 428 pages
...superficies is that*which has only length and breadth. 6. The extremities of superficies are lines. 7. A plane superficies is that in which any two points...line between them lies wholly in that superficies. 8. A plane angle is the inclination of two lines to each other in a plane, which meet together, but... | |
 | Euclides - 1879 - 146 pages
...surface] is that which has only length and breadth. 6. The extremities of a superficies are lines. B 7. A plane superficies is that in which any two points...line between them lies wholly in that superficies. [All these seven def1nitions express abstract ideas (you will remember the force of the word abstract... | |
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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. 
