On the curves represented by the equation \[ \frac {dx}{\sqrt{(1-x^2)(1-k^2x^2)}}=\frac {dy}{\sqrt{(1-y^2)(1-k^2y^2)}} \] and their envelopes. (Q5969601)
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scientific article; zbMATH DE number 2708284
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the curves represented by the equation \[ \frac {dx}{\sqrt{(1-x^2)(1-k^2x^2)}}=\frac {dy}{\sqrt{(1-y^2)(1-k^2y^2)}} \] and their envelopes. |
scientific article; zbMATH DE number 2708284 |
Statements
On the curves represented by the equation \[ \frac {dx}{\sqrt{(1-x^2)(1-k^2x^2)}}=\frac {dy}{\sqrt{(1-y^2)(1-k^2y^2)}} \] and their envelopes. (English)
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1880
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Die durch die obige Gleichung (die Additionsgleichung für die elliptischen Functionen) definirten Curven werden discutirt, besonders in Beziehung auf ihre Enveloppen, die gerade Linien sind. Für specielle Fälle sind Zeichnungen der Curven gegeben.
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