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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. vm. "A plane angle is the inclination of two lines to one another in a plane, which meet together, but are not in the same... "
The synoptical Euclid; being the first four books of Euclid's Elements of ... - Σελίδα 1
των Euclides - 1853
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The first three books of Euclid's Elements of geometry, with theorems and ...

Euclides, Thomas Tate - 1849 - 108 σελίδες
...POINT 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...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...

The First Two Books of the Elements of Euclid ... with Additional Figures ...

Euclides - 1852
...which 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...

The first six books of the Elements of Euclid, with numerous exercises

Euclides - 1853 - 147 σελίδες
...ia 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...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...

The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

Royal Military Academy, Woolwich - 1853
...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...

Orr's Circle of the Sciences: The mathematical sciences

William Somerville Orr - 1854
...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...

The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1855
...line are points. By the extremities of a line, are here meant, the beginning and the end of the line. IV. A straight line is that which lies evenly between its extreme points. " A straight line is" more clearly defined to be " that in which, if any two pointa be taken, the part...

Mensuration of lines, areas, surfaces, and volumes

Robert Rawson - 1856
...hath no magnitude. n. A line is length without breadth. m. The extremities of a line are points. TV. A straight line is that which lies evenly between its extreme points. V. A superficies is that which hath only length and breadth, VI. The extremities of a superficies are lines. vn. A plane superficies...

Gradations in Euclid : books i. and ii., with an explanatory preface [&c ...

Euclides - 1858
...two directions. 6. The extremities, or boundaries, of a surface, are lines. 7. — A plane surface is that in which any two points being taken, the straight line joining them lies wholly in that surface. — HERO THE ELDER. " A plane surface is that which lies...

Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1860 - 361 σελίδες
...POINT is that which has no parts, or which has no magnitude. n. A line is length without breadth. m. The extremities of a line are points. IV. A straight...breadth. VI. The extremities of a superficies are lines. vn. A plane superficies is that in which any two points being taken, tne Straight line between them...

The school Euclid: comprising the first four books, by A.K. Isbister

Euclides - 1862
...A line is length without breadth. III. The extremities of a line are points. IV. A straight line ia that which lies evenly between 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...




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