Informs WS that JH located Encke's Comet the previous night, and gives the location.

Comments on a paper about differential calculus, prepared by Mr. Knight, which JH confesses he does not understand. Adds some astronomical observations JH made at Slough before leaving there, and noting the appearance of J. F. Encke's Berlin Ephemeris concludes with 'England is fated to lag in the rear of all her neighbours—at least in science.'

A letter of introduction to AQ on behalf of John Franklin [famous explorer of the Northwest Passage].

Sends letter from [George] Gipps. WR wants to assists Gipps in astronomical pursuits. Asks JH for assistance.

WR's testimonials must be sent to America before further action can be taken. Asks JH for recommendation.

Requests particulars concerning the electors for position at University of Virginia for which William Ritchie has applied. Encloses Ritchie's letter of 1827-12-6.

Has not heard from [University of Virginia]. Position of lecturer in mathematics and natural philosophy has opened at Dollar Institution in Edinburgh. WR asks for recommendation for the position from JH.

Has not heard from America. Discusses paper on electric conduction. Wishes to move further south. Thanks JH for securing WR's election to R.S.L.

[Edward] Sabine's letter confirmed WR's membership in R.S.L. Feel he was ill-used by Dollar Institution. Apologizes for trouble he caused JH.

Introduces [Dionysius] Lardner, who is a mathematician. Asks how [John] Brinkley's collimators succeeded.

Sends copy of his account of the achromatic telescope because JH did not receive the original. Constructing an achromatic telescope of 5-foot focal length.

Recently received telescope from the optician. Some adjustments are necessary. [Robert] Blair has a similar idea regarding telescopes. Asks JH to mention his idea to the Astronomical Society.

Gives permission to release his telescope proposal to others. Discusses the progress of the telescope. Considers modifying the arrangement of lenses.

Asks JH to report how James South's telescope performs. There was a defect in the settings of the telescope. Hopes JH's method of eliminating chromatic aberration improves the microscope.

Has received a letter from the Astronomical Society secretary. Worries AR may have offended JH and requests guidance. Describes performance of his telescope.

Introduces botanist [Nathaniel] Wallich in letter. Any kindness shown him will be appreciated. Discusses some matters of geology.

Discovered a mistake in Mr. Perkins's paper published in the Annals of Philosophy. Perkins has not yet corrected the error, although he was requested to do so.

Sends WS JH's 'Light' published in the Encyclopaedia Metropolitana. Mentions recalibration of his magnitude measurements of small stars near other small ones. Comments on results in WS's paper concerning Saturn's ring. Confirms sighting of 'well defined, equable, planetary disk.'

Accepts JH's extension of Class I double stars. Comments on comparison of these and suggests comparison of respective scales might be mutually useful. Includes continuation of work on micrometer measurements of Saturn. Notices strange eccentricity of Saturn's rings. Is considering comparing his degree-measurements with Finland and Lapland.

Lists contents of a letter sent on 1828-7-6. JH's Light and third catalogue of double stars sent. Details of nebulae included.