AS the Identity (or sameness) of several Geometrical Rea∣sons used to be called Geometrical Proportionality, or em∣phatically Proportion; so the similitude (or likeness) of severa•• Arithmetical Reasons, is deservedly call'd Arithmetical Proportiona∣lity, or by a particular Name Progression; and consequently those Progressionals, or Arithmetical Proportionals, which exceed one ano∣ther by the same difference, either uninterruptedly or continually as 2, 5, 8, 11, 14, &c. ascending, or 30, 28, 26, 24, 22, 20, &c. descending; or interruptedly, as 2 and 5, 7 and 10, 11 and 14, &c. ascending; or 30 and 26, 24 and 20, 1•• and 13, &c. descending: For which, and all other in what cas•••• soever, we may universally put this (or such like) continua•• Progression, v. g. a, a+x, a+2x, a+3x, &c. ascending; o•• a, a−x, a−2x, a−3x, &c. descending, but in an interrupted Progression, v. g. b and b+z and c and c−z, d and d−z, &c. descending. Whence you have this
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
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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
Page 51
ANY Difference being given, the following Terms of me Progression, continually proceeding from the first assumed or given one, may be found; as also several Antecedents that interruptedly follow the given or assumed ones, viz. by adding or subtracting the given Difference to or from the former Terms to find the latter.