The Elements of Theology, 1762 Digital
Astronomical Lectures read in the Chapel of Harvard College at Cambridge in America, 1780-1781 Digital
Lecture on the Motion and Phenomena of Heat as it respects the Earth, 1782 Digital
First read in Boston on January 1, 1782. Subsequent readings in Cambridge in 1782, 1783, 1784, 1785, 1786, 1787 and 1788. This is a set of two lectures, one about the effects of fire and heat on various objects and fluids, and the other a general overview of the properties of physical bodies. The lectures contain numerous references to scientific instruments, notably the pyrometer, used by Williams in his experiments.
Lectures on Electricity, 1782, 1782 Digital
Lectures on Air, part I, 1784 Digital
First lecture read on May 8, 1784 and subsequently read in 1785, 1786, 1787, 1788, 1807 and 1808. The last two readings were presumably at the University of Vermont.
Second lecture read on May 10, 1784 and subsequently read in 1785, 1786, 1787, 1788, 1807 and 1808. The last two readings were presumably at the University of Vermont.
Lectures on Air, part II, 1785 Digital
Lecture on Magnetism, 1788 Digital
First read June 4, 1788 and subsequently read in 1807 and 1808. The last two readings were presumably at the University of Vermont. This lecture includes measurements and original observations, taken by Thomas Brattle, John Winthrop, and Williams himself, of magnetic declination of sites in the Americas.
Philosophical and Astronomical Lectures [Lectures on Heat and on the Aurora Borealis], ca. 1790 Digital
This volume is a manuscript that appears to have never been published; it continues into HUM 8 Volume 9. In his preface, written in Rutland, Vermont, Williams explains that the lectures dated from his tenure as Hollis Professor at Harvard, from 1780 to 1788. This manuscript appears to have been assembled around 1790, although possibly later.
The Astronomy of Comets in Seven Lectures [and a lecture on the "new planet," Uranus], ca. 1790 Digital
This volume is the continuation of the unpublished manuscript begun in volume 8. It includes a lecture on heat in comets that is believed to be a draft of a paper later published by the Royal Society; this lecture contains important original observations.
Change of Climate in North America and Europe, undated Digital
Observations of Temperature, 1752-1786 Digital
Lunar Observations, 1771-1780 Digital
Return of the Comet of 1532 and 1661, in the Year 1789: An Attempt to Compute the Return and Course of the Comet […], undated, ca. 1787 Digital
Meteorological Observations for 1790 and 1791, 1789-1792 Digital
Also includes personal financial entries, listing payments in-kind of wood, sugar, rye and wheat, mutton, veal, geese, tallow, cheese, butter and other items, and the names of individuals who boarded at Williams' home. Contains one loose receipt, dated December 26, 1789, from Silas Seward.
Sermons, 1794 Digital
Sermons on the Philosophical Principles of Religion, 1794 Digital
Sections of volume are recycled papers, containing correspondence and other writings.
Williams notes that these sermons were first delivered in Rutland, Vermont on August 17, 1794. Back cover includes alternate title(?): Philosophical Essays on the First Principles of Morality and Christianity.