Lectures On Quaternions : Containing a Systematic Statement of a New Mathematical Method, of Which the Principles Were Communicated in 1843 to the Royal Irish Academy, And Which Has Since Formed the Subject of Successive Courses of Lectures, Delivered in
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In our eReader you can find the full English version of the book. Read Lectures On Quaternions : Containing a Systematic Statement of a New Mathematical Method, of Which the Principles Were Communicated in 1843 to the Royal Irish Academy, And Which Has Since Formed the Subject of Successive Courses of Lectures, Delivered in 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 Lectures On Quaternions : Containing a Systematic Statement of a New Mathematical Method, of Which the Principles Were Communicated in 1843 to the Royal Irish Academy, And Which Has Since Formed the Subject of Successive Courses of Lectures, Delivered in
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To quickly assess the difficulty of the text, read a short excerpt:
If the three points abc should happen to be situated on one straight line, the interpretation of the recently assigned sym- bol would in that case be still more easy. For because the pro- duct of two vectors which have the same direction is in this theory (by art. 84) a negative scalar ; while the product of two vectors which have opposite directions is on the contrary (by the same article) with us a positive scalar ; it follows that if the point A be intermediate between b and c, as in fig. 33..., r.33.|.
Fig.
A y M the continued product, 202 ON QUATERNIONS.
/3oy = (a - c) (c - b) (b - a), is constructed in this case by a line, which has the direction of either of the two extreme factors b - a or a - c. But in the case represented by this other figure, i -^- Fig. 34. J c . A !
l3ay in which the intermediate point is b, the same symbol of a con- tinued product denotes a line, which has indeed the direction of B - A, but not that of a - c. And on the other hand, in the case where c is the intermediate point, as in the figure subjoined, \ a Fig.
What to read after Lectures On Quaternions : Containing a Systematic Statement of a New Mathematical Method, of Which the Principles Were Communicated in 1843 to the Royal Irish Academy, And Which Has Since Formed the Subject of Successive Courses of Lectures, Delivered in?
You can find similar books in the "Read Also" column, or choose other free books by Hamilton, William Rowan, Sir, 1805-1865 to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
If the three points abc should happen to be situated on one straight line, the interpretation of the recently assigned sym- bol would in that case be still more easy. For because the pro- duct of two vectors which have the same direction is in this theory (by art. 84) a negative scalar ; while the product of two vectors which have opposite directions is on the contrary (by the same article) with us a positive scalar ; it follows that if the point A be intermediate between b and c, as in fig. 33..., r.33.|.
Fig.
A y M the continued product, 202 ON QUATERNIONS.
/3oy = (a - c) (c - b) (b - a), is constructed in this case by a line, which has the direction of either of the two extreme factors b - a or a - c. But in the case represented by this other figure, i -^- Fig. 34. J c . A !
l3ay in which the intermediate point is b, the same symbol of a con- tinued product denotes a line, which has indeed the direction of B - A, but not that of a - c. And on the other hand, in the case where c is the intermediate point, as in the figure subjoined, \ a Fig.
What to read after Lectures On Quaternions : Containing a Systematic Statement of a New Mathematical Method, of Which the Principles Were Communicated in 1843 to the Royal Irish Academy, And Which Has Since Formed the Subject of Successive Courses of Lectures, Delivered in?
You can find similar books in the "Read Also" column, or choose other free books by Hamilton, William Rowan, Sir, 1805-1865 to read onlineMoreLess
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