NOR can we doubt but that this will always be so, how far soever the Progression be continued; if you consider that the last Term contains in it self the first, and moreover the difference so many times taken, as is the number of Terms ex∣cepting one, but that the first has no difference added to it; and therefore tho the last since one contains one difference less than the last; the second on the contrary has one more than the first, and consequently the Sum of the one will necessarily be equal to the Sum of the other; and in like manner the last except two, contains two Differences less than the last; but, on the contrary, the third exceeds the first by a double Diffe∣rence, the double Difference being added to it, &c. as is ob∣vious to the Eye in our first universal Example. Hence you have these
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.
- Rights/Permissions
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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 20, 2025.
Pages
SCHOLIUM I.