The trigonall sector, the description and use thereof being an instrument most aptly serving for the resolution of all right lined triangles, with great facility and delight. By which all planimetrical, and altimetrical conclusions may be wrought at pleasure. The lines of sines, tangents, secants, and chords, pricked down on any instrument: many arithmeticall proportions calculated, and found out in a moment. Dialls, delineated upon most sorts of plaines: with many other delightfull conclusions. Lately invented and now exposed to the publique view. By John Chatfeilde.
- Title
- The trigonall sector, the description and use thereof being an instrument most aptly serving for the resolution of all right lined triangles, with great facility and delight. By which all planimetrical, and altimetrical conclusions may be wrought at pleasure. The lines of sines, tangents, secants, and chords, pricked down on any instrument: many arithmeticall proportions calculated, and found out in a moment. Dialls, delineated upon most sorts of plaines: with many other delightfull conclusions. Lately invented and now exposed to the publique view. By John Chatfeilde.
- Author
- Chatfield, John.
- Publication
- London :: Printed by Robert Leybourn, and are to be sold by James Nuthall, over against the George neer Holbourn-bridge,
- 1650.
- Rights/Permissions
-
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- Subject terms
- Trigonometry -- Early works to 1800.
- Geometry -- Early works to 1800.
- Link to this Item
-
https://name.umdl.umich.edu/A79434.0001.001
- Cite this Item
-
"The trigonall sector, the description and use thereof being an instrument most aptly serving for the resolution of all right lined triangles, with great facility and delight. By which all planimetrical, and altimetrical conclusions may be wrought at pleasure. The lines of sines, tangents, secants, and chords, pricked down on any instrument: many arithmeticall proportions calculated, and found out in a moment. Dialls, delineated upon most sorts of plaines: with many other delightfull conclusions. Lately invented and now exposed to the publique view. By John Chatfeilde." In the digital collection Early English Books Online 2. https://name.umdl.umich.edu/A79434.0001.001. University of Michigan Library Digital Collections. Accessed May 4, 2024.
Contents
- title page
- TO THE READER.
- illustration
-
Of the Trigonall SECTOR: The description and use thereof.
- Thus much of the description of the In∣strument and its parts: Now of the use thereof.
- To finde the quantity of any angle.
- Two angles being known, to represent any Rightlined Triangle.
- To represent any Rectangular Triangle.
- To represent any obtuse angular Triangle.
- To represent any Acuteangular Triangle.
- To find the Content of any of these Triangles.
- To reduce the Area of a Trian∣gle found of one denominati∣on, to a perpendicular and ba∣sis of another denomination.
- Thus hath been shewed its use in the re∣solution of Triangles, and in working proportions.
-
To find the length of the Tan∣gent line of any degree, to a Radius of 10000. -
And thus by proportion, may be found the length of the Tangent line for any degree even unto 90 gr. - To find the length of a Secant for any degree.
- To find the length of a line of sines for any degree.
- To find the length of a line of Chords for any degree.
- To find a line or number in con∣tinuall proportion, having two numbers given
- Having the Square and its Root to find the Cube there∣of.
- Having the Cube and its Square whereof it was made to find the Root of both.
- Postscript.
- advert for mathematical instruments