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Bernoulli, Johann, 1667-1748 (mathematician)

 Person

Found in 14 Collections and/or Records:

 Series

Bernouilli's problem on drawing lines cutting a series of curves according to any given law, c 1698-c 1699

 Series
Reference Code: GBR/0012/MS Add.3964.6: 5-6
Scope and Contents

Draft letter by Newton in response to "Eiusdem annotata in solutiones fraternas problematum quorundam suordam, editas proximo Acotorym Majo", by John Bernouilli in "Acta eruditorum", October 1698.

Dates: c 1698-c 1699
Conditions Governing Access: From the Fonds: Due to the fragile nature of the material access to the collection is restricted. It is available to view in the Cambridge University Digital Library at https://cudl.lib.cam.ac.uk/collections/newton/1 with the exception of MS.Add.4007, which is open for consultation by holders of a Reader's Ticket valid for the Manuscripts Reading Room.
 Series

Copy of a draft letter from Newton to John Bernouilli, and a letter from Varignon to Newton, c 1880 (Original letter dated 5 July 1719.)

 Series
Reference Code: GBR/0012/MS Add.4007.47: 600-605
Scope and Contents From the Fonds:

The Portsmouth Collection is the principal collection of Isaac Newton's scientific and mathematical papers, including early drafts of the Principia, and his correspondence with Oldenburg, Halley Flamsteed and many of the other most prominent scientists of his day.

Dates: c 1880 (Original letter dated 5 July 1719.)
Conditions Governing Access: From the Fonds: Unlike the rest of the collection, Add. 4007 has not been microfilmed, and is therefore available on request to those eligible to view manuscripts in the manuscripts reading room.
 Series

Copy of a French translation of a letter from John Keill to John Bernouilli, c 1710-c 1720

 Series
Reference Code: GBR/0012/MS Add.3968.23: 339-367
Scope and Contents

With some notes in Newton's hand.

Dates: c 1710-c 1720
Conditions Governing Access: From the Fonds: Due to the fragile nature of the material access to the collection is restricted. It is available to view in the Cambridge University Digital Library at https://cudl.lib.cam.ac.uk/collections/newton/1 with the exception of MS.Add.4007, which is open for consultation by holders of a Reader's Ticket valid for the Manuscripts Reading Room.
 File

Late addendum to Principia Book II, Proposition X, c 1715

 File
Reference Code: GBR/0012/MS Add.3965.13: 374-375
Scope and Contents From the Sub-Fonds:

Early drafts of the Principia and related notes; additions, corrections and revisions to the Principia. This is the 'general' category: papers relating specifically to lunar theory or containing mathematical problems are classified separately.

Dates: c 1715
Conditions Governing Access: From the Fonds: Due to the fragile nature of the material access to the collection is restricted. It is available to view in the Cambridge University Digital Library at https://cudl.lib.cam.ac.uk/collections/newton/1 with the exception of MS.Add.4007, which is open for consultation by holders of a Reader's Ticket valid for the Manuscripts Reading Room.
 File

Newton's final attempt to recast Principia Book II, Proposition X taking account of Bernoulli's critique, but leaving the basic form intact, c October 1712 (Preliminary draft before Add 3965.12: 192-193.)

 File
Reference Code: GBR/0012/MS Add.3965.10: 135-136
Scope and Contents From the Sub-Fonds:

Early drafts of the Principia and related notes; additions, corrections and revisions to the Principia. This is the 'general' category: papers relating specifically to lunar theory or containing mathematical problems are classified separately.

Dates: c October 1712 (Preliminary draft before Add 3965.12: 192-193.)
Conditions Governing Access: From the Fonds: Due to the fragile nature of the material access to the collection is restricted. It is available to view in the Cambridge University Digital Library at https://cudl.lib.cam.ac.uk/collections/newton/1 with the exception of MS.Add.4007, which is open for consultation by holders of a Reader's Ticket valid for the Manuscripts Reading Room.
 File

Newton's preliminary work following Bernoulli's critique of Principia Book II Proposition X, together with notes on coinage, history and other subjects, September 1712 (Date refers to the section on Principia - other parts may have different dates.)

 File
Reference Code: GBR/0012/MS Add.3965.10: 109
Scope and Contents

Continued on f.103r.

Dates: September 1712 (Date refers to the section on Principia - other parts may have different dates.)
Conditions Governing Access: From the Fonds: Due to the fragile nature of the material access to the collection is restricted. It is available to view in the Cambridge University Digital Library at https://cudl.lib.cam.ac.uk/collections/newton/1 with the exception of MS.Add.4007, which is open for consultation by holders of a Reader's Ticket valid for the Manuscripts Reading Room.
 File

Newton's reworking of Principia, Book II, Proposition X, following Bernoulli's critique, Autumn 1712

 File
Reference Code: GBR/0012/MS Add.3965.12: 190-191
Scope and Contents

There is some evidence to suggest that this is the version of the solution that Newton originally intended to transmit to Bernoulli (see M.P. ff.339-340.) It is amended in Newton's hand in the usual manner.

Dates: Autumn 1712
Conditions Governing Access: From the Fonds: Due to the fragile nature of the material access to the collection is restricted. It is available to view in the Cambridge University Digital Library at https://cudl.lib.cam.ac.uk/collections/newton/1 with the exception of MS.Add.4007, which is open for consultation by holders of a Reader's Ticket valid for the Manuscripts Reading Room.
 File

Newton's reworking of Principia, Book II, Proposition X, following Bernoulli's critique, Winter 1712

 File
Reference Code: GBR/0012/MS Add.3965.12: 192-193
Scope and Contents

Very close to the final, definitive version that Newton sent to his editor, Roger Cotes, on 6 January 1712/13 (now Trinity College. R.16.38:262-265).

Dates: Winter 1712
Conditions Governing Access: From the Fonds: Due to the fragile nature of the material access to the collection is restricted. It is available to view in the Cambridge University Digital Library at https://cudl.lib.cam.ac.uk/collections/newton/1 with the exception of MS.Add.4007, which is open for consultation by holders of a Reader's Ticket valid for the Manuscripts Reading Room.
 File

Newton's reworking of Principia, Book II, Proposition X, following Bernoulli's critique, September 1712

 File
Reference Code: GBR/0012/MS Add.3965.12: 196-197
Scope and Contents

Was probably composed in the following order: f.196r, f.197v, f.197r, f.196v

Dates: September 1712
Conditions Governing Access: From the Fonds: Due to the fragile nature of the material access to the collection is restricted. It is available to view in the Cambridge University Digital Library at https://cudl.lib.cam.ac.uk/collections/newton/1 with the exception of MS.Add.4007, which is open for consultation by holders of a Reader's Ticket valid for the Manuscripts Reading Room.
 File

Newton's reworking of Principia, Book II, Proposition X, following Bernoulli's critique, Autumn 1712

 File
Reference Code: GBR/0012/MS Add.3965.12: 198-199
Scope and Contents

Add 2968.18: 261r lightly remodelled (and now correct!)

Dates: Autumn 1712
Conditions Governing Access: From the Fonds: Due to the fragile nature of the material access to the collection is restricted. It is available to view in the Cambridge University Digital Library at https://cudl.lib.cam.ac.uk/collections/newton/1 with the exception of MS.Add.4007, which is open for consultation by holders of a Reader's Ticket valid for the Manuscripts Reading Room.
 File

Newton's reworking of Principia, Book II, Proposition X, following Bernoulli's critique, September 1712 (Probably written after ff.196-197.)

 File
Reference Code: GBR/0012/MS Add.3965.12: 200-201
Scope and Contents From the Sub-Fonds:

Early drafts of the Principia and related notes; additions, corrections and revisions to the Principia. This is the 'general' category: papers relating specifically to lunar theory or containing mathematical problems are classified separately.

Dates: September 1712 (Probably written after ff.196-197.)
Conditions Governing Access: From the Fonds: Due to the fragile nature of the material access to the collection is restricted. It is available to view in the Cambridge University Digital Library at https://cudl.lib.cam.ac.uk/collections/newton/1 with the exception of MS.Add.4007, which is open for consultation by holders of a Reader's Ticket valid for the Manuscripts Reading Room.
 File

Newton's reworking of Principia, Book II, Proposition X, following Bernoulli's critique, c October 1712 (Probably written after ff.200-201.)

 File
Reference Code: GBR/0012/MS Add.3965.12: 219-220
Scope and Contents

219v and 220v filled out from f.200v. This is the document in which Newton finally arrives at the correct solution.

Dates: c October 1712 (Probably written after ff.200-201.)
Conditions Governing Access: From the Fonds: Due to the fragile nature of the material access to the collection is restricted. It is available to view in the Cambridge University Digital Library at https://cudl.lib.cam.ac.uk/collections/newton/1 with the exception of MS.Add.4007, which is open for consultation by holders of a Reader's Ticket valid for the Manuscripts Reading Room.
 Item

Notes on the Leibniz Controversy, c 1713

 Item
Reference Code: GBR/0012/MS Add.9597/2/18/93
Scope and Contents From the Series:

Primarily Newton autographs and letters to Newton.

Dates: c 1713
Conditions Governing Access: From the Fonds: Due to the fragile nature of the material access to the collection is restricted. It is available to view in the Cambridge University Digital Library at https://cudl.lib.cam.ac.uk/collections/macclesfield/1
 Series

Printed Copy of a Letter from John Bernoulli to Sir Isaac Newton, with Newton's Observations on it, c 1713 (Original letter dated 7 June 1713)

 Series
Reference Code: GBR/0012/MS Add.3968.34: 473-486
Scope and Contents From the Fonds:

The Portsmouth Collection is the principal collection of Isaac Newton's scientific and mathematical papers, including early drafts of the Principia, and his correspondence with Oldenburg, Halley Flamsteed and many of the other most prominent scientists of his day.

Dates: c 1713 (Original letter dated 7 June 1713)
Conditions Governing Access: From the Fonds: Due to the fragile nature of the material access to the collection is restricted. It is available to view in the Cambridge University Digital Library at https://cudl.lib.cam.ac.uk/collections/newton/1 with the exception of MS.Add.4007, which is open for consultation by holders of a Reader's Ticket valid for the Manuscripts Reading Room.