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 May 13, 2025.
Pages
PROBL. 5.
To finde the Altitude of any Tree, Steeple, &c.
at one station.
At any distance from the object (provi∣ded
the ground be level) with your Instru∣ment,
look to the top of the object along the
outward ledge of the fixed piece, and take
the angle of its altitude. This done, measure
by feet or yards, the distance from your
standing to the bottom of the object. Then
say,
As the cosine of the altitude is to the
measured distance numbred upon the lines of
lines, so is the sine of the altitude to a fourth
descriptionPage 45
number of feet or yards (according to the
measure you meeted the distance) to this
fourth, adde the height of your eye from
the ground, and that sum gives the number
of feet or yards in the altitude.
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