XXIV. On the Application of Analysis to the Discovery of Local Theorems and Porisms

Extract

Those who have devoted much of their attention to mathematical inquiries, must have had frequent occasion to admire mire the unexpected and intimate connection which subsists between branches of their science apparently the most remote and unconnected with each other; and repeated observation will have convinced them, that no researches, however recondite or abstruse, should be neglected, because they appear to stand isolated and detached from the body of the science. These reflections appear to have been felt with strongest force, by those who have most contributed to its advancement, and were particularly insisted on by Maclaurin, in the Preface to his Geometria Organica. The present Paper will add another example, to instances already numerous, of the latent affinity between departments of mathematics, usually regarded as the most opposite.