Waring 1785
Waring, Edward (1785): Meditationes analyticae ECHO
Part of WO10.
Sent with DESpecs version 2.0.1
Sent: yes/2010-10-13.
Returned: 2011-02-28 raw text in trac
1. First Analysis
Difficulties
- formulæ
Special Instructions
2. Questions From Formax
Q We found in waring-1785, there are many variable with some other variable/ constant such as n-1
, n-2
, π
etc. above, can you give us a rule to how to code it?
For example:
- Please see waring-1785, 0271.jpg, line 7, 8, the data "
β/α
with an-2
above it" - Please see waring-1785, 0285.jpg, line 1, the data "
υ′
with an-1
above it" - Please see waring-1785, 0174.jpg, in this page, there are many variable with a
π
etc above
A
- Please mark "
n-2
" as if it were not above theβ
, but a superscript to the right ofβ
:<math>{β ^. ^n-2 / α}</math>
-
insolventes (_n_) quantitates <math>v, v', v'', ..., v' ^n-1</math> & earum fluxiones primi
Please note: It is not Greek "υ
", but Latin "v
" in italics. (Recall that it is not necessary to mark the italics in <math>
.) However, using v′
(U+2032) instead of v'
(U+0027) and v″
(U+2033) instead of v''
(two U+0027) is fine in <math>
.
Other examples on the same page:
deduci pote$t <math>{x ^. / x} = {v ^. / v' - v} = {w ^. / w' - w}</math>; deinde ... insolventes; pro <math>y, y ^. , y ^.. , ..., y ^. ^n-1 & n ^. ^n} $cibantur <math>vx, v' x ^. , { v'' x ^. ^2 / x}, ..., {v' ^n-1 x ^. ^n-1 / x ^n-2} & {v' ^n x ^. ^n / x ^n-1}</math>; ...
Please note: Contrary to the DESpecs, page 23, do not type "\.x
" instead of "x ^.
" in <math>
, even though the dot is above the x
and not to the right of x
.
- Please type it as
Sit <math>y ^. ^π</math> fluxio ... ... æquationes <math>A y ^. ^m ^π + B y ^. ^m-1 ^π + C y ^. ^m-2 ^π + &c. = 0, & ... </math>