CHAP. XXII. Having the Azimuth, the Suns Altitude, and the declina∣tion, to finde the hour of the day.
- AS the cosine of the declination,
- To the sine of the Azimuth:
- So is the cosine of the Altitude,
- To the sine of the houre.
The description and use of the universall quadrat.: By which is performed, with great expedition, the whole doctrine of triangles, both plain and sphericall, two severall wayes with ease and exactness. Also the resolution of such propositions as are most usefull in astronomie, navigation, and dialling. By which is also performed the proportioning of lines and superficies: the measuring of all manner of land, board, glasse; timber, stone. &c. / By Thomas Stirrup, Philomathemat.
About this Item
- Title
- The description and use of the universall quadrat.: By which is performed, with great expedition, the whole doctrine of triangles, both plain and sphericall, two severall wayes with ease and exactness. Also the resolution of such propositions as are most usefull in astronomie, navigation, and dialling. By which is also performed the proportioning of lines and superficies: the measuring of all manner of land, board, glasse; timber, stone. &c. / By Thomas Stirrup, Philomathemat.
- Author
- Stirrup, Thomas.
- Publication
- London :: Printed by R. & W. Leybourn, for Tho. Pierrpont, at the Sun in Pauls Church-yard,
- 1655.
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- Subject terms
- Astronomy
- Dialing
- Geometry
- Navigation
- Trigonometry
- Cite this Item
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"The description and use of the universall quadrat.: By which is performed, with great expedition, the whole doctrine of triangles, both plain and sphericall, two severall wayes with ease and exactness. Also the resolution of such propositions as are most usefull in astronomie, navigation, and dialling. By which is also performed the proportioning of lines and superficies: the measuring of all manner of land, board, glasse; timber, stone. &c. / By Thomas Stirrup, Philomathemat." In the digital collection Early English Books Online 2. https://name.umdl.umich.edu/A93912.0001.001. University of Michigan Library Digital Collections. Accessed May 15, 2024.
Pages
Page 172
Thus in the triangle ZP♉ in the Diagram of the 6 Chapter, having the side P♉ the complement of de∣clination 78 degrees 30 min. and the side Z♉ the comple∣ment of the Suns Altitude 64 degrees 4 minutes with the outward angle ♉ZP the Azimuth 74 degrees 22 min. we may finde the angle ZP♉ the houre from the meridian by the 40 Chapter of the second Book.
For if we place the threed to the intersection of the contrary sine of 78 degrees 30 minutes with the right sine of 74 degrees 22 minutes it will cut the contrary sine of 64 degrees 4 minutes at the right sine of 62 degrees 6 minutes and such is the angle ZP♉ the houre from the meridian, or in time 4 houres 8 minutes which was re∣quired