A Treatise On Elementary Geometry : With Appendices Containing a Collection of Exercises for Students And An Introduction to Modern Geometry.
A Treatise On Elementary Geometry : With Appendices Containing a Collection of Exercises for Students And An Introduction to Modern Geometry.
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In our eReader you can find the full English version of the book. Read A Treatise On Elementary Geometry : With Appendices Containing a Collection of Exercises for Students And An Introduction to Modern Geometry. Online - link to read the book on full screen. Our eReader also allows you to upload and read Pdf, Txt, ePub and fb2 books. In the Mini eReder on the page below you can quickly view all pages of the book - Read Book A Treatise On Elementary Geometry : With Appendices Containing a Collection of Exercises for Students And An Introduction to Modern Geometry.
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To quickly assess the difficulty of the text, read a short excerpt:
For if two points of the in- tersection be joined by a straight line, that line must lie in both planes, by (1) ; and no point outside of this lino can be common to the two planes, by Proposition II. ; therefore the straight line in question is the line of intersection of the two planes.
PERPENDICULARS AND OBLIQUE LINES TO PLANES.
6. Definition. A straight line is perpendicular to a plane when it is perpendicular to every straight line drawn in the plane through its foot ; that is, through the ...point in which it meets the plane.
In the same case, the plane is said to be perpendicular to the line.
PROPOSITION III.— THEOREM.
7. From a given point without a plane, one perpendicular to the plane can be drawn, and but one ; and the perpendicular is the shortest line that can be drawn from the point to the plane.
Let A be the given point, and MN the plane. Consider the various lines that can be drawn from A to MN. These lines are obviously not all of the same length ; there must, then, be among them either one minimum line, or a set of equal shortest ■or lines.
What to read after A Treatise On Elementary Geometry : With Appendices Containing a Collection of Exercises for Students And An Introduction to Modern Geometry.?
You can find similar books in the "Read Also" column, or choose other free books by William Chauvenet to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
For if two points of the in- tersection be joined by a straight line, that line must lie in both planes, by (1) ; and no point outside of this lino can be common to the two planes, by Proposition II. ; therefore the straight line in question is the line of intersection of the two planes.
PERPENDICULARS AND OBLIQUE LINES TO PLANES.
6. Definition. A straight line is perpendicular to a plane when it is perpendicular to every straight line drawn in the plane through its foot ; that is, through the ...point in which it meets the plane.
In the same case, the plane is said to be perpendicular to the line.
PROPOSITION III.— THEOREM.
7. From a given point without a plane, one perpendicular to the plane can be drawn, and but one ; and the perpendicular is the shortest line that can be drawn from the point to the plane.
Let A be the given point, and MN the plane. Consider the various lines that can be drawn from A to MN. These lines are obviously not all of the same length ; there must, then, be among them either one minimum line, or a set of equal shortest ■or lines.
What to read after A Treatise On Elementary Geometry : With Appendices Containing a Collection of Exercises for Students And An Introduction to Modern Geometry.?
You can find similar books in the "Read Also" column, or choose other free books by William Chauvenet to read onlineMoreLess
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