28 | Example of the construction of equations |
52 | Solution of a problem requiring the rectification of an ellipse |
154 | Observations on the rectification of ellipses |
211 | Problema, ad cuius solutionem geometrae invitantur; theorema, ad cuius demonstrationem geometrae invitantur |
251 | On the integration of the differential equations (m dx)/√(1-x^{4}) = (n dy)/√(1-y^{4}) |
252 | Observations on the comparison of arcs of irrectifiable curves |
261 | Example of another new methods for comparing transcendental quantities; on the comparison of the arcs of ellipses |
263 | An example of a new method for the quadrature and rectification of curves and of comparing other quantities which are transcendentally related to each other |
264 | Proof of a theorem and solution of a theorem proposed in the Acta Eruditorum of Leipzig |
273 | Consideration of formulas, of which the integral can be obtained by sections of arcs of cones |
295 | On the reduction of integral formulas for the rectification of the ellipse and hyperbola |
345 | On integrated equations of the type dx/√(A+Bx+Cx^{2}+Dx^{3}+Ex^{4}) = dy/√(A+By+Cy^{2}+Dy^{3}+Ey^{4}) |
347 | More general development of formulas serving for the comparison of curves |
448 | A new infinite series that expresses the perimeter of an ellipse, and which converges very rapidly |
506 | (Elucidations about a most elegant method, which the illustrious la Grange used in the integration of the differential equation dx/√X = dy/√Y |
581 | A more complete investigation into the relationship between those quantities contained in the integral formula ∫ (\Z dz)/√(1+mzz+nz^{4}), where Z denotes a rational function of zz. |
582 | The fruitful development of a relation which may be established between the arcs of conic sections |
590 | Certain theorems in analysis, of which a demonstration is thus far desired |
605 | On the remarkable properties of the elastic curves under the equation y = ∫ (xx dx)/√(1-x^{4}) |
624 | De superficie coni scaleni, ubi imprimis intentes difficultates, quae in hac investigatione occurrunt, perpenduntur |
633 | De binis curvis algebraicis inveniendis, quarum arcus indefinite inter se sint aequales |
638 | On innumerable algebraic curves, of which the longitude is able to be measured by parabolic arcs |
639 | On innumerable algebraic curves, of which the longitude is able to be measured by elliptical arcs |
645 | On algebraic curves, of which the longitudes are expressed by the integral formula ∫ (v^{m-1} dv)/√(1-v^{2n}) |
676 | Methodus succinctior comparationes quantitatum transcendentium in forma ∫ (P dz)/√(A + 2Bz + Czz + 2Dz^{3} + Ez^{4}) contentarum inveniendi |
714 | Exempla quarundam memorabilium aequationum differentialium, quas adeo algebraice integrare licet, etiamsi nulla via pateat variabiles a se invicem separandi |
780 | De infinitis curvis algebraicis, quarum longitudo indefinita arcui elliptico aequatur |
781 | De infinitis curvis algebraicis, quarum longitudo arcui parabolico aequatur |
782 | De binis curvis algebraicis eadem rectificatione gaudentibus |
783 | On algebraic curves, all of whose arcs may be measured by circular arcs |
817 | On curved lines, the rectification of which is measured by given quadratures |
818 | On the comparison of irrectifiable curved arcs |
819 | Continuation of some fragments taken from the Mathematics day book |