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 8, 2024.

Pages

SOLƲTION.

1. Denomination. Make AC=a, AD=b, AB=x, then will BC=bx.

2. Equation. 〈 math 〉〈 math 〉 and substract∣ing xx.

Page 19

3. Reduction. 〈 math 〉〈 math 〉; and adding 〈 math 〉〈 math 〉; and substracting 〈 math 〉〈 math 〉; and dividing by 〈 math 〉〈 math 〉.

4. The Effection or Construction is like the former, and so will be manifest only by inspecting that Scheme.

5. The Arithmetical Rule. From the square of the given sum substract the square of the given side, and divide the Re∣mainder by double the given sum; and youll have the other side, and substracting that from the given sum, you have the Hypothenusa also. E. g. let one side be 15, and the sum of the other two 45.

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