Prop. 1.
If there be two Ingots of equall weight, the one better then Standard by a certain finenesse, the other as much worse, those two Ingots molten together shall produce a Fusion or Masse which shall be of Standard finenesse
Syntaxis mathematica, or, A construction of the harder problemes of geometry with so much of the conicks as is therefore requisite and other more ordinary and usefull propositions inter-mixed, and tables to several purposes / by Tho. Gibson.
About this Item
- Title
- Syntaxis mathematica, or, A construction of the harder problemes of geometry with so much of the conicks as is therefore requisite and other more ordinary and usefull propositions inter-mixed, and tables to several purposes / by Tho. Gibson.
- Author
- Gibson, Thomas, 17th/18th cent.
- Publication
- London :: Printed by R. & W. Leybourne for Andrew Crook,
- 1655.
- Rights/Permissions
-
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- Subject terms
- Geometry -- Early works to 1800.
- Cite this Item
-
"Syntaxis mathematica, or, A construction of the harder problemes of geometry with so much of the conicks as is therefore requisite and other more ordinary and usefull propositions inter-mixed, and tables to several purposes / by Tho. Gibson." In the digital collection Early English Books Online 2. https://name.umdl.umich.edu/A42708.0001.001. University of Michigan Library Digital Collections. Accessed May 5, 2024.
Pages
Page 96
Let the first Ingot b be better by c.
The Second Ingot d worse by f.
And let it be b=d and c=f.
Multiply b by c it gives bc equal to all the betternesse of the Ingot b. By Def. 2.
Likewise cf is equal to all the worstnesse, but bc=df.
Therefore the whole Fusion b + c is asmuch better then standard as worse.
Wherefore it is neither better nor worse, but just Standard finenesse.