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A course of experiments in physical measurement (1897)

Whiting, Harold, d. 1895 · Boston, D.C. Heath and Co. · leaf 1165

An illustration from A course of experiments in physical measurement, 1897, leaf 1165
rocalof the square of its probable error. 35 1130 APPENDIX XI. APPENDIX XI. PROOFS OF FORMULA. (a) Centrifugal Force. When a body of mass m andvelocity V in the direction AB\s caused by a force/to move along the arc of a circle-^ i CD, for a short time,K it reaches a point Gsuch that AG=vt. luthe… … JiC-. *(i) the expression (/ -^ m) taking the place of g. Drawingthe diameter AD, and the chords ^Cand DO, we have bysimilar triangles BG: AG:: AG: AD. Substituting for BG its value from the formula, for AG itsvalue {vt nearly), and for AD its value in terras of the ra-dius (2r), we have PROOFS. J…

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