= Waring 1785 =

Waring, Edward (1785): Meditationes analyticae [http://echo.mpiwg-berlin.mpg.de/ECHOdocuView/ECHOzogiLib?mode=imagepath&url=/mpiwg/online/permanent/library/SH99QARK/pageimg ECHO]

Part of [wiki:OverviewWorkOrders2010#WorkOrder10 WO10].

Sent with DESpecs version 2.0.1 

Sent: yes/2010-10-13.

Returned: 2011-02-28 [source:/trunk/texts/WO_10/Waring_1785_SH99QARK/raw/Waring_1785_SH99QARK.txt 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 [http://echo.mpiwg-berlin.mpg.de/ECHOdocuView?pn=271&mk=0.1537/0.3888&url=%2Fmpiwg%2Fonline%2Fpermanent%2Flibrary%2FSH99QARK%2Fpageimg&viewMode=images&tocMode=thumbs&tocPN=1&searchPN=1&mode=imagepath&queryPageSize=10 waring-1785, 0271.jpg, line 7, 8], the data "{{{β/α}}} with a {{{n-2}}}  above it"
 - Please see [http://echo.mpiwg-berlin.mpg.de/ECHOdocuView?pn=285&mk=0.5163/0.1814&url=%2Fmpiwg%2Fonline%2Fpermanent%2Flibrary%2FSH99QARK%2Fpageimg&viewMode=images&tocMode=thumbs&tocPN=1&searchPN=1&mode=imagepath&queryPageSize=10 waring-1785, 0285.jpg, line 1], the data "{{{υ′}}} with a {{{n-1}}} above it"
 - Please see [http://echo.mpiwg-berlin.mpg.de/ECHOdocuView?url=%2Fmpiwg%2Fonline%2Fpermanent%2Flibrary%2FSH99QARK%2Fpageimg&viewMode=images&tocMode=thumbs&tocPN=1&query=&searchPN=1&queryType=&mode=imagepath&sn=&queryPageSize=10&pn=174 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 the {{{β}}}, but a superscript to the right of {{{β}}}:
{{{
<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>
}}}

== 3.  Analysis of the Result ==

=== Findings ===
=== Recommendation ===

== 4.  Post-Processing ==