NOw if any one would be satisfied of the truth of this last Consect. without the literal or specious Notes, let him consider, that if the first Term be supposed to be o, the last (whatever it is) will be the sum of the Extremes. The last therefore mul∣tiplied by half the number of Terms, gives the Sum of the Pro∣gression, by Consect. 1. and the same last Term multiplied by the whole number of Terms, gives the Sum of so many Terms equal to the greatest. But that this must needs be double of the precedent 'tis evident, because any Multiplicand being multiplied by a double multiplier, must needs give a double Product. Now as this Consectary will be of singular Use to us hereafter for De∣monstrating several Propositions, so the three former are the very same Practical Rules of Arithmetick, which are commonly made
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
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http://name.umdl.umich.edu/A61912.0001.001
- Cite this Item
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"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 May 19, 2025.
Pages
SCHOLIUM II.
Page 69
use of in Arithmetical Progressions; for the Illustration whereof Swenterus gives us several Ingenious Examples in his Delic. part 1. Quest. 70. &c.