CHAP. LI. Having the circumference and Diameter of a Cylinder given in inches, and the length in feet, to finde the content in feet.
- As 12 inches, to the Diameter in inches:
- So is the length in feet, to a fourth number.
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
-
"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 67
Then,
- As 12 inches, to one quarter of the circumference:
- So is this fourth number, to the solid content in feet.
As for example, let the figure A be a cylinder, or some round peece of Timber to be measured, whose circumference is 44 inches, and Diameter 14 inches; and let the length thereof be 10 foot, now for to finde the solid content.
First, place the threed to the intersection of the con∣trary parallel of 12, with the right parallel of 14; and it will cut the contrary parallel of 10, at the right parallel of 11⅔; now where this right parallel of 11⅔, cutteth the contrary parallel of 12, there place the threed again, so shall it cut the contrary parallel of 11, at the right paral∣lel of 10 7/10, and so many solid feet is contained in this cylinder or round peece of Timber.
[illustration] diagram of the measurement of a cylinder