The semicircle on a sector in two books. Containing the description of a general and portable instrument; whereby most problems (reducible to instrumental practice) in astronomy, trigonometry, arithmetick, geometry, geography, topography, navigation, dyalling, &c. are speedily and exactly resolved. By J. T.

About this Item

Title
The semicircle on a sector in two books. Containing the description of a general and portable instrument; whereby most problems (reducible to instrumental practice) in astronomy, trigonometry, arithmetick, geometry, geography, topography, navigation, dyalling, &c. are speedily and exactly resolved. By J. T.
Author
Taylor, John, 1666 or 7-1687.
Publication
London :: printed for William Tompson, bookseller at Harborough in Leicestershire,
1667.
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Subject terms
Mathematics -- Early works to 1800.
Navigation -- Early works to 1800.
Dialing -- Early works to 1800.
Link to this Item
http://name.umdl.umich.edu/A64223.0001.001
Cite this Item
"The semicircle on a sector in two books. Containing the description of a general and portable instrument; whereby most problems (reducible to instrumental practice) in astronomy, trigonometry, arithmetick, geometry, geography, topography, navigation, dyalling, &c. are speedily and exactly resolved. By J. T." In the digital collection Early English Books Online. https://name.umdl.umich.edu/A64223.0001.001. University of Michigan Library Digital Collections. Accessed June 1, 2024.

Pages

Sect. 1.

To delineate an horizontal Dial. See Fig. 9.

First draw the square BCDE. of what quantity the plain will permit. Then make AF=AG=HD=HE=sine of the latitude, and AH=Radius. Enter HD. in tang. 45. and keeping the Sector at that gage, set off HI=HK=tang. 15. and HO=HL=tang. 30. Again, enter FD. in tang. 45. and set off FQ=GN=tang. 15. and FP=GM=tang. 30. This done,

Draw AQ. AP. AD. AO. AI. for the hour lines of 5. 4. 3. 2. 1. afternoon. Again,

Draw AK. AL. AE. AM. AN. for the hour lines of 11. 10. 9. 8. 7. before noon.

The line FAG. is for six and six. In the same manner you may prick the quarters of an hour, reckoning three tangents, and 45.

Page 127

minutes, for a quarter. How to draw the hour lines before, and after six, was menti∣oned, Chap. 2. Sect. 1.

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