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 April 28, 2025.
Pages
descriptionPage [unnumbered]
A Rectifying Table for the Suns Declination.
Years
Years
Years
1657
1661
1665
1669
1673
1659
1663
1667
1671
1675
1660
1664
1668
1672
1676
Moneths
min.
min.
min.
January
3 s
2 a
5 a
4 s
3 a
7 a
5 s
4 a
9 a
February
5 s
5 a
10 a
5 s
5 a
11 a
6 s
5 a
11 a
March
6 s
5 a
13 s
5 a
5 s
12 a
5 a
5 s
12 a
April
5 a
5 s
11 a
5 a
5 s
10 a
4 a
4 s
9 a
May
4 a
4 s
8 a
3 a
3 s
6 a
2 a
2 s
4 a
June
1 a
1 s
2 a
0 s
0 a
0 s
1 s
1 a
3 s
July
2 s
2 a
5 s
3 s
3 a
7 s
4 s
4 a
9 s
August.
5 s
5 a
10 s
5 s
5 a
11 s
6 s
5 a
12 s
Septēber
6 s
5 a
13 s
6 a
5 s
13 a
6 a
5 s
12 a
October
6 a
5 s
12 a
5 a
5 s
11 a
4 a
5 s
9 a
Novem.
3 a
4 s
7 a
2 a
3 s
5 a
1 a
2 s
3 a
Decemb.
0 a
1 s
1 a
1 s
0 a
1 s
2 s
1 a
3 s
descriptionPage [unnumbered]
The use of the Rectifying Table.
NOte that the minutes under the respective years is to be ad∣ded or substracted to or from the Suns Declination in the former Table, as is noted with the letter a or s: and also note that the first figure in each moneth stands for the first 10 dayes of the moneth, and the second for the second 10 days, & the third for the last 10 dayes, except in March or September, which in March will be the first 9 dayes only, and in September the first 12 dayes.
Example.
I would know the Suns Declination the 15 day of May 1668. Now because this day of the moneth falls in the second 10 dayes, I look in the Table under the year 1663, and right against May you shall finde that in the second place of the moneth stands 6 a, which shews me that I must adde 6 minutes to the Suns Declina∣tion in the former Table 21 degrees 5 min. that stands against the 15 day of May, and then I find that the Sun will have 21 deg. 11 min. of North Declination, and so for the rest, which will never differ above two minutes from the truth, but seldome so much, and for the most part true.
Note that the former Table of the Suns Declination is fit∣ted exactly for the year 1666. by the Rules Mr. Wright gives in his Correction of Errours, and from his Tables, and may indifferently serve for the years 1658, 1662. 1670, 1674, without any sensible errour, and the Table of Right Ascensions will not vary a minute of time in many years.
FINIS.
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