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Hamilton, William Rowan in correspondent 
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From:
William Rowan Hamilton
To:
Sir John Herschel
Date:
[12 October 1827]
Source of text:
unknown
Summary:

Sorry that he could not meet JH when JH was in Dublin; hopes to be introduced to JH soon. Answers JH's queries about WH's work; explains that he is studying 'the general properties of systems of rays, and of the surfaces with which they are connected.'

Contributor:
John Herschel Project
From:
Sir John Herschel
To:
William Rowan Hamilton
Date:
[27 October 1827]
Source of text:
TCD 1493:15
Summary:

Thanks for, praises, and comments on WH's 'Systems of Rays' paper. Says WH will have a distinguished career. Mentions other works and hopes to forward them with others he receives to WH.

Contributor:
John Herschel Project
From:
William Rowan Hamilton
To:
Sir John Herschel
Date:
[5 December 1827]
Source of text:
unknown
Summary:

Thrilled by JH's encouragement concerning WH's 'Theory of Systems of Rays.' Enthusiastic about his career prospects at the University of Dublin.

Contributor:
John Herschel Project
From:
Sir John Herschel
To:
William Rowan Hamilton
Date:
[12 December 1827]
Source of text:
TCD 1493:17
Summary:

Expresses regrets that George Airy's memoir on spherical aberration in telescope eyepieces and WH's 'Theory of Systems of Rays' reached JH too late for adequate treatment in JH's 'Light.'

Contributor:
John Herschel Project
From:
Sir John Herschel
To:
William Rowan Hamilton
Date:
[25 May 1828]
Source of text:
TCD 1493:20
Summary:

Thanks for remainder of WH's essay on 'Systems of Rays.' Recalls error-ridden copy of JH's Light given to WH; sends correction. Wishes to propose WH for membership in Astronomical Society.

Contributor:
John Herschel Project
From:
Sir John Herschel
To:
William Rowan Hamilton
Date:
[5 December 1828]
Source of text:
TCD 1493:30
Summary:

Acknowledges receipt of papers sent by WH for Astronomical Society and R.S.L. and will deliver them, but currently has not time to say more. Looks forward to enrollment of WH's name among members at next Astronomical Society meeting.

Contributor:
John Herschel Project
From:
Sir John Herschel
To:
William Rowan Hamilton
Date:
[13 January 1829]
Source of text:
TCD 1493:34
Summary:

Was pleased to recently admit Capt. [Francis] Beaufort as WH's proxy in Astronomical Society.

Contributor:
John Herschel Project
From:
William Rowan Hamilton
To:
Sir John Herschel
Date:
[25 February 1829]
Source of text:
TCD 1493:36a
Summary:

Expresses views on nature of exponential functions and defines terms that may have caused confusion in [J. T.] Graves's paper, which JH found unsatisfactory. Requests JH's reply.

Contributor:
John Herschel Project
From:
Sir John Herschel
To:
William Rowan Hamilton
Date:
[17 May 1829]
Source of text:
TCD 1493:51
Summary:

Thanks WH for letter on [J. T.] Graves's paper [see WH's 1829-2-25]. Admits JH could be in error concerning Graves's doctrines, but will let mathematical world form its own opinion.

Contributor:
John Herschel Project
From:
William Rowan Hamilton
To:
Sir John Herschel
Date:
[3 December 1830]
Source of text:
unknown
Summary:

Sorry to hear that JH was not elected President of the R.S.L. Sending a supplement to WH's 'Theory of Systems of Rays' essay. Recommends [Edwin Richard Windham Wyndham-Quin,] Lord Adare for consideration as a member of the R.A.S.

Contributor:
John Herschel Project
From:
Sir John Herschel
To:
William Rowan Hamilton
Date:
[29 December 1830]
Source of text:
TCD 1493:68
Summary:

Regrets lack of time for WH's paper but has been occupied with nebulae and double stars. Finds it difficult to concentrate on one subject. Has proposed Edward Quin for Astronomical Society membership. Mentions [Francis] Beaufort's penchant for astronomy and the recent R.S.L. elections, as well as JH's wish to meet WH personally.

Contributor:
John Herschel Project
From:
Sir John Herschel
To:
William Rowan Hamilton
Date:
[24 June 1831]
Source of text:
TCD 1493:75
Summary:

Thanks for sending extension of JH's theorem and expresses its significance. Will send copy of paper on differential and integral calculus. Includes results of calculations of orbits of double stars and mentions orbits of satellites.

Contributor:
John Herschel Project
From:
William Rowan Hamilton
To:
Sir John Herschel
Date:
[19 October 1831]
Source of text:
unknown
Summary:

Encouraged that a calculus can be constructed out of his exponential series findings.

Contributor:
John Herschel Project
From:
Sir John Herschel
To:
William Rowan Hamilton
Date:
[15 January 1833]
Source of text:
TCD 1493:88 (C: TCD 7762-72:321)
Summary:

Thanks for sending results about conical polarization and introductory lecture on astronomy communicated through Francis Beaufort. Had hoped to send WH JH's yet to be printed catalogue of double stars.

Contributor:
John Herschel Project
From:
William Rowan Hamilton
To:
Sir John Herschel
Date:
[29 January 1833]
Source of text:
unknown
Summary:

Rev. Humphrey Lloyd's paper on conical refraction agreed with WH's conclusions.

Contributor:
John Herschel Project
From:
William Rowan Hamilton
To:
Sir John Herschel
Date:
[17 October 1834]
Source of text:
unknown
Summary:

Developed a method that greatly simplifies Joseph Lagrange's integration of the 3n differential equations of motion of the second order by reducing all calculations to the application of 'one principal function.' Applies the method to planetary motion.

Contributor:
John Herschel Project
From:
Sir John Herschel
To:
William Rowan Hamilton
Date:
[13 June 1835]
Source of text:
TCD 1493:109
Summary:

Gives incomplete report on observations of nebulae and double stars and theories on the Milky Way and Magellanic Clouds based thereupon. Thanks WH for his explanation of WH's new dynamical method, but JH admits that he understands only its 'general scope.'

Contributor:
John Herschel Project
From:
Sir John Herschel
To:
William Rowan Hamilton
Date:
[13 February 1836]
Source of text:
TCD 1493:176
Summary:

Replies to WH's letter on 'Scotodynamics.' Cannot follow WH's analysis of velocities of vibrations and disturbances, but finds it symbolically beautiful and powerful. Notes that diploma [?] arrived and was sent to Hanover. Thanks WH on behalf of Caroline Herschel, who sent a letter acknowledging the honor bestowed on her by Royal Irish Academy.

Contributor:
John Herschel Project
From:
William Rowan Hamilton
To:
Sir John Herschel
Date:
[26 May 1838]
Source of text:
unknown
Summary:

Congratulates JH on his successful Cape Town enterprise.

Contributor:
John Herschel Project
From:
Sir John Herschel
To:
William Rowan Hamilton
Date:
[15 June 1838]
Source of text:
TCD 4015:96
Summary:

Comments and expands on James MacCullagh's paper on laws of reflection and polarization in crystals.

Contributor:
John Herschel Project