Mathesis enucleata, or, The elements of the mathematicks by J. Christ. Sturmius ; made English by J.R. and R.S.S.

About this Item

Title
Mathesis enucleata, or, The elements of the mathematicks by J. Christ. Sturmius ; made English by J.R. and R.S.S.
Author
Sturm, Johann Christophorus, 1635-1703.
Publication
London :: Printed for Robert Knaplock and Dan. Midwinter and Tho. Leigh,
1700.
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Subject terms
Mathematics -- Early works to 1800.
Geometry -- Early works to 1800.
Algebra -- Early works to 1800.
Link to this Item
http://name.umdl.umich.edu/A61912.0001.001
Cite this Item
"Mathesis enucleata, or, The elements of the mathematicks by J. Christ. Sturmius ; made English by J.R. and R.S.S." In the digital collection Early English Books Online 2. https://name.umdl.umich.edu/A61912.0001.001. University of Michigan Library Digital Collections. Accessed June 20, 2025.

Pages

CONSECTARY.

IT is evident from the genesis of this curve that the descri∣bing point a will always be as much distant in the circle from the point of contact d or c, as the point A in the right line passed over AE, is from the same point of contact, i. e. if the point d is distant from A the fourth part of the line AE, the arch da will also be the fourth part of the circle considered in this second station; and the point c being distant from A half of the interval AE, the arch ca will be also half of the

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[illustration]
Pag. 160.

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Page 161

circle, and so the point a coincide in the curve with F: And when the point e is distant from E only an eighth part of the whole line AE, the arch ea will also be the eighth part of the whole circle.

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