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XXVI. An investigation of a general theorem for finding the length of any arc of any conic hyperbola, by means of two elliptic arcs with some other new and useful theorems deduced therefrom
  • John Landen
  • Philosophical Transactions of the Royal Society…
In a paper, which the Society did me the honour to publish in the Philosophical Transactions for the year 1771, I announced, that I had discovered a general theorem for finding the length of any arcExpand
XXXVI. A disquisition concerning certain fluents, which are assignable by the arcs of the conic sections; wherein are investigated some new and useful theorems for computing such fluents
  • John Landen
  • Philosophical Transactions of the Royal Society…
Mr. Mac Laurin, in his Treatise of Fluxions, has given sundry very elegant theorems for computing the fluents of certain fluxions by means of elliptic and hyperbolic arcs; and Mr. D'Alembert, in theExpand
LIV. A new method of computing the sums of certain series
  • John Landen
  • Philosophical Transactions of the Royal Society…
As the improving the analytic art, especially any branch of it that relates to the summation of series, may, by facilitating computations, conduce to the improvement of several branches of science;
XXVI. A specimen of a new method of comparing curvilineal areas; by which many such areas may be compared as have not yet appeared to be comparable by any other method
  • John Landen
  • Philosophical Transactions of the Royal Society…
When a body in motion is continually acted upon by a variable force, the space it has passed over at the end of any given time, it is well known, will be expressed by the area of the curve, whoseExpand
XV. A new theory of the rotary motion of bodies affected by forces disturbing such motion.
  • John Landen
  • Philosophical Transactions of the Royal Society…
I am induced to consider this paper as not unworthy the notice of this Society, through a persuasion that the theory herein contained will conduce to the improvement of science, by enabling theExpand
XXXVI. Some new theorems for computing the areas of certain cruve lines
  • John Landen
  • Philosophical Transactions of the Royal Society…
  • 2017
Read June 28, f | ^ H E learned editor of M r. Cotes’s I77°* JL Harmonia Menfurarum firft gave us, inthat book, the celebrated theorems for com­ puting the areas of the curves whofe ordinates are —JExpand
XVI. Of the rotatory motion of a body of any form whatever, revolving, without restraint, about any axis passing through its center of gravity
  • John Landen
  • Philosophical Transactions of the Royal Society…
A spherical body, uniformly dense, it is obvious, will, if made to revolve freely about any axis passing through its enter, continue to revolve about the same axis; and, by what I have shewn in theExpand
Structure for sewing machine
TLDR
A needle mechanism composed of a presser bar 12 provided with a needle bar and driven by an elastic means 22 so as to regulate the pressure of the presser foot to the cloth to be sewn and a lifting device for adjusting thePresser foot between an operating position and a non-operating position away from the cloth. Expand
LXXVL. An investigation of some theorems which suggest some remarkable properties of the circle, and are of use in resolving fractions, whose denominators are certain multinomials, into more simple
  • John Landen
  • Philosophical Transactions of the Royal Society…
That the principal theorems, below investigated, will be of considerable use in the doctrine of fluxions, by rendering, in many cases, the business of computing fluents more easy, will, on perusal,Expand