...lines ; and the " intersections of one superficies with another are also lines." Book IV v-*~»"WA plane superficies is that in which any two points...line between them lies wholly in that superficies. VI. A plane rectilineal angle is the inclination of two straight lines to one another, which meet together,...

...its extreme points. 5. A superficies is that which hath only length and breadth. 6. The extremitin of a superficies are lines. 7. A plane superficies...two points being taken, the straight line between theta lies wholly in that superficies. 8. " A plane angle is the inclination of two lines te one another...

...drawn between any two points. 5. A superficies or surface has length and breadth, but thickness. 6. A plane superficies is that in which any two points...line between them lies wholly in that superficies. -- , t 7- A plane rectilineal angle is the inclination of two straight lines to one another, which...

...superficies, as the spherical, cylindrical, conical, and many others. According to this definition, a plane superficies "is that in which any two points...line between them lies wholly in that superficies;" the term " plane," in popular language, means that which is perfectly fiat, or level) now if two points...

...superficies are lines ; and the intersec" tions of one superficies with another are also lines." V. A plane superficies is that in which any two points...line between them lies wholly in that superficies. VI. A plane rectilineal angle is the inclination of two straight lines to one another, which meet together,...

...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 angle is the inclination of two lines to one another* in, a plane, which meet together,...

...and are points. DEF. 7. BI The learned Robert Simson gives a different definition of a plane surface. A plane superficies is that in which any two points...line between them lies wholly in' that superficies : this indeed is a well known property of a plane ; but as it can easily be deduced from Euclid's definition...

...is called the area. Superficies are either plane, rectilinear, curvilinear, convex, or concave. — A plane superficies is that in which any two points...line between them lies wholly in that superficies. — A rectilinear superficies is that which is bounded by right lines. — A curvilinear superficies...

...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...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 are not in...

...shortest distance between the two points which limits its length, as A - С III. A PLANE SUPERFICES is that in which any two points being taken, the straight line between them lies wholly in that surface. IV. PARALLEL LINES are such as are in the same plane AB and which extended infinitely do never...