An Elementary Treatise On Analytical Geometry
The book An Elementary Treatise On Analytical Geometry was written by author Here you can read free online of An Elementary Treatise On Analytical Geometry 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 Analytical Geometry a good or bad book?
Where can I read An Elementary Treatise On Analytical Geometry for free?
In our eReader you can find the full English version of the book. Read An Elementary Treatise On Analytical 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 An Elementary Treatise On Analytical Geometry
In our eReader you can find the full English version of the book. Read An Elementary Treatise On Analytical 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 An Elementary Treatise On Analytical Geometry
What reading level is An Elementary Treatise On Analytical Geometry book?
To quickly assess the difficulty of the text, read a short excerpt:
This is the curve which a nail in the rim of a carriage-wheel describes in the air during the motion of the carriage on a level road. The curve derives its name from two Greek words signifying "circle-formed. " The line AL over which the generating circle passes in a single revolution is called the base of the cycloid, and if I be the middle point of AL, the point K is called the vertex, and the line KI the altitude or axis of the curve. To find its equation, Fig. 14.
CL, let K be the origin of... co-ordinates ; put Kn = x, wM = y, and SI, the radius of the generating circle, = a. Then we have, Mft = M?tt -f mn (1).
And Mm = QI = AI AQ (2).
Now from the mode of generation, we have, AQ = arc MQ =. Arc 7?? I; and AI = semi-circumference IniK. Hence (2) becomes, M??z = ImK arc ml= arc Km, and, consequently, (1) becomes, y = arc Km + mn = arc Km -f ^/Kn X nl arc Km + 236 ANALYTICAL GEOMETRY. [CHAP. VI.
Now we have arc Km = a circular arc whose radius is a and ver sin x = a (an arc whose radius is unity and ver sin -) ; or, ~ l x introducing the notation, ver sin - to signify " the arc whose x versed sine is, " (3) may be written, y = a ver sin - + >/ 2ax a 2 (4) for the equation of the cycloid.
What to read after An Elementary Treatise On Analytical Geometry?
You can find similar books in the "Read Also" column, or choose other free books by Jean Baptiste Biot to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
This is the curve which a nail in the rim of a carriage-wheel describes in the air during the motion of the carriage on a level road. The curve derives its name from two Greek words signifying "circle-formed. " The line AL over which the generating circle passes in a single revolution is called the base of the cycloid, and if I be the middle point of AL, the point K is called the vertex, and the line KI the altitude or axis of the curve. To find its equation, Fig. 14.
CL, let K be the origin of... co-ordinates ; put Kn = x, wM = y, and SI, the radius of the generating circle, = a. Then we have, Mft = M?tt -f mn (1).
And Mm = QI = AI AQ (2).
Now from the mode of generation, we have, AQ = arc MQ =. Arc 7?? I; and AI = semi-circumference IniK. Hence (2) becomes, M??z = ImK arc ml= arc Km, and, consequently, (1) becomes, y = arc Km + mn = arc Km -f ^/Kn X nl arc Km + 236 ANALYTICAL GEOMETRY. [CHAP. VI.
Now we have arc Km = a circular arc whose radius is a and ver sin x = a (an arc whose radius is unity and ver sin -) ; or, ~ l x introducing the notation, ver sin - to signify " the arc whose x versed sine is, " (3) may be written, y = a ver sin - + >/ 2ax a 2 (4) for the equation of the cycloid.
What to read after An Elementary Treatise On Analytical Geometry?
You can find similar books in the "Read Also" column, or choose other free books by Jean Baptiste Biot to read onlineMoreLess
Read book An Elementary Treatise On Analytical Geometry for free
You can download books for free in various formats, such as epub, pdf, azw, mobi, txt and others on book networks site. Additionally, the entire text is available for online reading through our e-reader. Our site is not responsible for the performance of third-party products (sites).
Write Review:
User Reviews: