The Elements of Plane And Solid Geometry : With Numerous Exercises
The Elements of Plane And Solid Geometry : With Numerous Exercises
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To quickly assess the difficulty of the text, read a short excerpt:
480. K plane has been defined (11) as a surface in which the straight line joining any two of its points lies wholly in the surface.
A plane is indefinite in extent, so that, however far the straight line is produced, all its points lie in the plane.
But to represent a plane in a diagram, it is necessary to take a limited portion of it, and it is usually represented by a parallelogram supposed to lie in the plane.
481. A plane is said to be determined by certain lines or points, when it is the ...only plane which contains these lines or points.
482. Any number of planes may be passed through any given straight liiie.
For, if a plane is passed through any given straight line AB, the plane may be turned about AB as an axis, and made to occupy an infinite num- ber of positions, eacli of which will be a different plane passing through AB.
Hence a given straight line does not determine the posi- tion of a plane.
483. A plane is determined by a straight line and a point without that line.
For, if the plane containing the straight line AB, turn about this line as an axis until it contains the given point C, the plane is evidently determined.
What to read after The Elements of Plane And Solid Geometry : With Numerous Exercises?
You can find similar books in the "Read Also" column, or choose other free books by Edward a Edward Albert Bowser to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
480. K plane has been defined (11) as a surface in which the straight line joining any two of its points lies wholly in the surface.
A plane is indefinite in extent, so that, however far the straight line is produced, all its points lie in the plane.
But to represent a plane in a diagram, it is necessary to take a limited portion of it, and it is usually represented by a parallelogram supposed to lie in the plane.
481. A plane is said to be determined by certain lines or points, when it is the ...only plane which contains these lines or points.
482. Any number of planes may be passed through any given straight liiie.
For, if a plane is passed through any given straight line AB, the plane may be turned about AB as an axis, and made to occupy an infinite num- ber of positions, eacli of which will be a different plane passing through AB.
Hence a given straight line does not determine the posi- tion of a plane.
483. A plane is determined by a straight line and a point without that line.
For, if the plane containing the straight line AB, turn about this line as an axis until it contains the given point C, the plane is evidently determined.
What to read after The Elements of Plane And Solid Geometry : With Numerous Exercises?
You can find similar books in the "Read Also" column, or choose other free books by Edward a Edward Albert Bowser to read onlineMoreLess
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