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Folio 45: ADM to AAL

[45] [in ADM's hand] 

 \(\int_a^{a'}f\,ds\) 

 \(\int_a^{a'}\varphi s.ds\)  \(\varphi s\) meaning \(f\) 

 \(\int f\,ds\) 

 \(\int\frac{dv}{dt}.ds\) 

 \(\int\frac{dv.ds}{dt}\) 

 Negative & Impossible Qu. \(\int dv.frac{ds}{dt}\) 

  Operation  \(\int dv.v\) 

 Relation \(\int v\,dv\) [diagram in original]

\( v^2=2\int_a^{a'}f\,ds+C\)  \(dy/dx\) 

\( V^2=0+C\) 

\( v^2-V^2=2\int_a^{a'}f\,ds\) 

\( v^2=2\int_a^{a'}f\,ds+V^2\) 

 \(v^2=2\int f\,ds+C\) 

About this document

Date of authorship: 

18

Holding institution: 

Bodleian Library, Oxford, UK

Collection: 

Dep. Lovelace Byron

Shelfmark: 
Box 170