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

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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.
Rights/Permissions: To the extent possible under law, the Text Creation Partnership has waived all copyright and related or neighboring rights to this keyboarded and encoded edition of the work described above, according to the terms of the CC0 1.0 Public Domain Dedication (http://creativecommons.org/publicdomain/zero/1.0/). This waiver does not extend to any page images or other supplementary files associated with this work, which may be protected by copyright or other license restrictions. Please go to http://www.textcreationpartnership.org/ for more information.
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 21, 2025.

Pages

CONSECTARY.

THerefore, if the Radius be =a, AP will be, by vertue of the Pythag. Theor. =〈 math 〉〈 math 〉 and PB= 〈 math 〉〈 math 〉 of that □ ½ aa; and of this □ 〈 math 〉〈 math 〉. Therefore the Sum of □ AB= 〈 math 〉〈 math 〉. Therefore the side of the Octagon = 〈 math 〉〈 math 〉. e. g. If AO be 10, AB will be 〈 math 〉〈 math 〉, and if the Radius AO 10000000, AB will be 〈 math 〉〈 math 〉, by vertue of the present Cons. or from the Prop. it self, if AO be 10000000, AP will be vertue of the Cons. of Prop. 50.=7071068, and consequently BP=2928932 The Squares of these added together give the □ AB, and the Root thence extracted AB=7653 668.