XXXI. Consideration of cases in which a moving Point is arrested XXXIII. General survey of the results of the preceding Proposition ... 63 *XXXIV. Calculation of Areas (Trigonometry) *XXXV. Lines capable of passing through any four Points (Conic ... *XXXIX. Means of determining successive positions of a Point when the law of Motion is given (Differential Calculus) .. *XL. Means of ascertaining general law of Motion when that for "Let him demonstrate a proposition in Euclid, in his five last books, extract a square root, or study algebra; than which, as Clavius holds, 'in all human disciplines nothing can be more excellent and pleasant, so abstruse and recondite, so bewitching, so miraculous, so ravishing, so easy withal and full of delight,' it seems to captivate beyond all human pleasure. By this means you may define ex ungue leonem, as the diverb is, by his thumb alone the bigness of Hercules, or the true dimensions of the great Colossus, Solomon's temple, and Domitian's amphitheatre, out of a little part." Burton's Anatomy of Melancholy. |