The sector on a quadrant, or A treatise containing the description and use of four several quadrants two small ones and two great ones, each rendred many wayes, both general and particular. Each of them accomodated for dyalling; for the resolving of all proportions instrumentally; and for the ready finding the hour and azimuth universally in the equal limbe. Of great use to seamen and practitioners in the mathematicks. Written by John Collins accountant philomath. Also An appendix touching reflected dyalling from a glass placed at any reclination.

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Title: The sector on a quadrant, or A treatise containing the description and use of four several quadrants two small ones and two great ones, each rendred many wayes, both general and particular. Each of them accomodated for dyalling; for the resolving of all proportions instrumentally; and for the ready finding the hour and azimuth universally in the equal limbe. Of great use to seamen and practitioners in the mathematicks. Written by John Collins accountant philomath. Also An appendix touching reflected dyalling from a glass placed at any reclination.
Author: Collins, John, 1625-1683.
Publication: London :: printed by J.M. for George Hurlock at Magnus Corner, Thomas Pierrepont, at the Sun in Pauls Church-yard; William Fisher, at the Postern near Tower-Hill, book-sellers; and Henry Sutton, mathematical instrument-maker, at his house in Thred-needle street, behind the Exchange. With paper prints of each quadrant, either loose or pasted upon boards; to be sold at the respective places aforesaid,; 1659.
Rights/Permissions: To the extent possible under law, the Text Creation Partnership has waived all copyright and related or neighboring rights to this keyboarded and encoded edition of the work described above, according to the terms of the CC0 1.0 Public Domain Dedication (http://creativecommons.org/publicdomain/zero/1.0/). This waiver does not extend to any page images or other supplementary files associated with this work, which may be protected by copyright or other license restrictions. Please go to http://www.textcreationpartnership.org/ for more information.
Subject terms: Mathematical instruments -- Early works to 1800.; Astronomy -- Early works to 1800.; Navigation -- Early works to 1800.; Dialing -- Early works to 1800.
Link to this Item: http://name.umdl.umich.edu/A34005.0001.001
Cite this Item: "The sector on a quadrant, or A treatise containing the description and use of four several quadrants two small ones and two great ones, each rendred many wayes, both general and particular. Each of them accomodated for dyalling; for the resolving of all proportions instrumentally; and for the ready finding the hour and azimuth universally in the equal limbe. Of great use to seamen and practitioners in the mathematicks. Written by John Collins accountant philomath. Also An appendix touching reflected dyalling from a glass placed at any reclination." In the digital collection Early English Books Online. https://name.umdl.umich.edu/A34005.0001.001. University of Michigan Library Digital Collections. Accessed May 27, 2025.

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Example.

If the Declination were 13d North, and the Altitude 37^d 13′ take the distance between it in the Scale and 13d in the prickt Line, then laying the Thread to 77d in the lesser sine enter that extent between the Scale and the Thread, and the resting foot will shew 45d for the hour from 6, that is either 9 in the forenoon, or 3 in the after∣noon.