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.
About this Item
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.
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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 12, 2025.
Pages
descriptionPage 128
Example.
Admit it were required to Calculate the Suns Altitude for 2 or 10 of the Clock, when his declination is 23d 31′ North.
Suns distance from the Elevated Pole—66: 29
fixed Ark for 2 or 10 is—34: 32
Residue—31: 57
Complement of the Residue 58d 3′ Sine—9,9286571
Sine of—51 32 the Latitude—9,8937452
19,8224023
Sine of—55 28 Com first ark 9,9158200
Sine of—53 45 the—9,9065823
Altitude sought—9,9065823
So if it were required to Calculate the Suns Altitude for the hour▪ of 5 in the morning when his declination is 20d North
☉ distance from depressed Pole—110d
fixed Ark—11: 37
The Residue is 81d, 33′ Or—98 23
Sine of 8d, 23′ the Compl of the Residue—9,1637434
Sine of the Latitude—9,8937452
19,0574886
Sine of 78d 23′ the Compl fixed ark —9,9910119
Sine of 6d 42′ the Altitude sought—9,0664767
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