The Philosophical magazine; a journal of theoretical, experimental and applied physics . n=,agreeably to the Lemma. Q. E. I). Question 2. What velocity must a ball suspended by a string have givento it so as to make it ascend to a horizontal position ? Solution. Iluyghens demonstrates that bodies falling from the sameheights acquire the same velocities, and that pendulous bodiesrise to the same heights from whicli they fall. Hence it is cvi-. 192 Mr. T. T. ^Yiikinson on Mathematics and Mathematicians. dent that the velocities which bodies must have to rise to anyheights iimst be the same that
The Philosophical magazine; a journal of theoretical, experimental and applied physics . n=,agreeably to the Lemma. Q. E. I). Question 2. What velocity must a ball suspended by a string have givento it so as to make it ascend to a horizontal position ? Solution. Iluyghens demonstrates that bodies falling from the sameheights acquire the same velocities, and that pendulous bodiesrise to the same heights from whicli they fall. Hence it is cvi-. 192 Mr. T. T. ^Yiikinson on Mathematics and Mathematicians. dent that the velocities which bodies must have to rise to anyheights iimst be the same that the bodies would acquire by fall-ing through the versed sines of the arcs they describe. Conse-quently for a ball suspended by a string to rise till it becomehorizontal, it must have a velocity at its lowest point equal towhat it would acquire by falling through the length of thestring of suspension. September 4. I called on ]\Iajor Watson, who was just goingout to Sion Hill to see Mr. Robinson, Lord Norths Secretary,and he asked me to go with him; accordingly we went togetherin a chaise, but he was not at home. We then went to SirCharles Fredericks, but he was also from home. We then wentto Picketts at the Foundiy near Blackfriars Bridge, and toDr. Irwins; he who made salt-water fresh. I then went ^^ithMajor Watson home and dined with him. After sLx oclock Icame to Mr. Todds in Smithfield, and he and I went to seeMr. Wales; we stayed
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