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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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A Text-book of Euclid's Elements for the Use of Schools, Βιβλίο 1

Euclid - 1904 - 456 σελίδες
...breadth. 3. The extremities of a line are points, and the intersection of two lines is a point. / 4. A straight line is that which lies evenly between its extreme points. Any portion cut off from a straight line is called a segment of it. 5. A surface (or superficies) is...

Modern Sheet-metal Workers' Instructor: Practical Geometry, Mensuration ...

Joseph H. Rose - 1906 - 309 σελίδες
...DEFINITIONS OF PLANE FIGURES. A line is length without breadth. The extremities of a line are points. A straight line is that which lies evenly between its extreme points. A plane surface is that in which any two points, being taken, the straight line between them lies wholly...

The advanced class-book of modern geography, by W. Hughes and J.F. Williams ...

William Hughes - 1908
...: ie a point indicates position only A Line is length without breadth. Its extremities are points. A Straight Line is that which lies evenly between its extreme points. A Plane is that which has only length and breadth, and is such that any two points being given, a straight...

Recreations in Mathematics, with 60 Illustrations

H. E. Licks - 1917 - 155 σελίδες
...treatises on that subject. A point is defined to be that "which has no parts and which has no magnitude"; a straight line is that which "lies evenly between its extreme points." ... In this case the explanation is a great deal harder than the term to be explained, which must always...

Recreations in Mathematics

H. E. Licks - 1917 - 155 σελίδες
...treatises on that subject. A point is defined to be that "which has no parts and which has no magnitude"; a straight line is that which "lies evenly between its extreme points." ... In this case the explanation is a great deal harder than the term to be explained, which must always...

Nonsense Novels

Stephen Leacock - 1923 - 229 σελίδες
...said John Enderby, "henceforth let us stick to the narrow path. What is it that the Good Book says : 'A straight line is that which lies evenly between its extreme points.' " X THE MAN IN ASBESTOS AN ALLEGORY OF THE FUTURE X. — The Man in Asbestos: An Allegory of the Future....

The London, Edinburgh and Dublin Philosophical Magazine and Journal of Science

1874
...a definition is to be attempted at all, it would be hard to produce a better than the old one — " A straight line is that which lies evenly between its extreme points ;" but, of course, the word evenly as much requires definition as the word straight. Mr. Wilson adds...

Popular Science Monthly, Τόμος 68

1906
...has 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. 6. A superficies is that which has only length and breadth. 7. A plane superficies is that in which,...

Philosophical Magazine

1874
...a definition is to be attempted at all, it would be hard to produce a better than the old one — " A straight line is that which lies evenly between its extreme points ;" but, of course, the word evenly as much requires definition as the word straiyht. Mr. Wilson adds...

Matters Mathematical

I. N. Herstein, Irving Kaplansky - 1978 - 246 σελίδες
...has 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. Styles of mathematical exposition have changed. These are highly descriptive phrases, somewhat in the...
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