An Elementary Treatise On Conic Sections
The book An Elementary Treatise On Conic Sections was written by author Here you can read free online of An Elementary Treatise On Conic Sections book, rate and share your impressions in comments. If you don't know what to write, just answer the question: Why is An Elementary Treatise On Conic Sections a good or bad book?
Where can I read An Elementary Treatise On Conic Sections for free?
In our eReader you can find the full English version of the book. Read An Elementary Treatise On Conic Sections 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 An Elementary Treatise On Conic Sections
In our eReader you can find the full English version of the book. Read An Elementary Treatise On Conic Sections 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 An Elementary Treatise On Conic Sections
What reading level is An Elementary Treatise On Conic Sections book?
To quickly assess the difficulty of the text, read a short excerpt:
Therefore the angle KSP is a right angle.
(3) If chords of a conic subtend a constant angle at a focus, the tangents at the ends of the chord loill meet on a fixed conic, and the chord will touch another fixed conic.
Let 2^ be the angle the chord subtends at the focus. Let a- ^ and a+^ be the vectorial angles of the extremities of the chord.
174 POLAR EQUATION OF A CONIC.
The equatiou of the chord ^vill be - = e cos ^ + sec /3 cos (6' - a), T __ I cos 3 or ^ = gcos^. cos ^+cos [9 -a) (i).
But (...i) is the equatiou of the tangeut, at the poiut whose vectorial angle is a, to the conic whose equation is IcosB , ^ = l + ecosj8. cos 6 (u).
Hence the chord always touches a fixed conic, whose eccentricity is e cos ^, and semi-latus rectum Z cos /3.
The equations of the tangents at the ends of the chord will be I - — e cos ^ + cos (^-a+/3), and -=gcos ^ + cos (^ — a-^).
Both these lines meet the conic Z - = g cos 6 + cos iS r -, I m the same point, viz. where 6 = a and - = e cos a + cos/3.
Hence, the locus of the intersection of the tangents at the ends of the chord is the conic Z sec Q = l-re sec B .
What to read after An Elementary Treatise On Conic Sections?
You can find similar books in the "Read Also" column, or choose other free books by Smith, Charles, 1844-1916 to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
Therefore the angle KSP is a right angle.
(3) If chords of a conic subtend a constant angle at a focus, the tangents at the ends of the chord loill meet on a fixed conic, and the chord will touch another fixed conic.
Let 2^ be the angle the chord subtends at the focus. Let a- ^ and a+^ be the vectorial angles of the extremities of the chord.
174 POLAR EQUATION OF A CONIC.
The equatiou of the chord ^vill be - = e cos ^ + sec /3 cos (6' - a), T __ I cos 3 or ^ = gcos^. cos ^+cos [9 -a) (i).
But (...i) is the equatiou of the tangeut, at the poiut whose vectorial angle is a, to the conic whose equation is IcosB , ^ = l + ecosj8. cos 6 (u).
Hence the chord always touches a fixed conic, whose eccentricity is e cos ^, and semi-latus rectum Z cos /3.
The equations of the tangents at the ends of the chord will be I - — e cos ^ + cos (^-a+/3), and -=gcos ^ + cos (^ — a-^).
Both these lines meet the conic Z - = g cos 6 + cos iS r -, I m the same point, viz. where 6 = a and - = e cos a + cos/3.
Hence, the locus of the intersection of the tangents at the ends of the chord is the conic Z sec Q = l-re sec B .
What to read after An Elementary Treatise On Conic Sections?
You can find similar books in the "Read Also" column, or choose other free books by Smith, Charles, 1844-1916 to read onlineMoreLess
Write Review:
Guest
Read Also
8 / 10
8 / 10
User Reviews: