A Course of Pure Geometry
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In our eReader you can find the full English version of the book. Read A Course of Pure 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 Course of Pure Geometry
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To quickly assess the difficulty of the text, read a short excerpt:
To be collinear, for indeed they are not so necessarily.
But if the points P, Q, &c. Are collinear, then we say that the pencils are coaxal.
If the pencils are coaxal they are at once seen to be homographic.
69. It is usual with writers on this subject to define two pencils as in perspective if their corresponding rays intersect in collinear points.
The objection to this method is that you have a different definition of perspective for different purposes.
We shall find it conducive to clearness... to keep rigidly to the definition we have already given, and we shall speak of two pencils as coaxally in perspective if the intersections of their corresponding rays are collinear.
As we have seen, two non-coplanar pencils in perspec- tive are always coaxal ; but not so two coplanar pencils.
Writers, when they speak of two pencils as in perspec- tive, mean what we here call ' coaxally in perspective. ' 70. Prop. If two homographic pencils in the same plane have a corresponding ray the same in both, they are coaxally in perspective.
What to read after A Course of Pure Geometry?
You can find similar books in the "Read Also" column, or choose other free books by E H Edward Harrison Askwith to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
To be collinear, for indeed they are not so necessarily.
But if the points P, Q, &c. Are collinear, then we say that the pencils are coaxal.
If the pencils are coaxal they are at once seen to be homographic.
69. It is usual with writers on this subject to define two pencils as in perspective if their corresponding rays intersect in collinear points.
The objection to this method is that you have a different definition of perspective for different purposes.
We shall find it conducive to clearness... to keep rigidly to the definition we have already given, and we shall speak of two pencils as coaxally in perspective if the intersections of their corresponding rays are collinear.
As we have seen, two non-coplanar pencils in perspec- tive are always coaxal ; but not so two coplanar pencils.
Writers, when they speak of two pencils as in perspec- tive, mean what we here call ' coaxally in perspective. ' 70. Prop. If two homographic pencils in the same plane have a corresponding ray the same in both, they are coaxally in perspective.
What to read after A Course of Pure Geometry?
You can find similar books in the "Read Also" column, or choose other free books by E H Edward Harrison Askwith to read onlineMoreLess
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