The encyclopdia britannica; a dictionary of arts, sciences, literature and general information . rom a figure. In fig. iri petitionsrof the; , , _ ,_ , moving. rpd^ QT. h^vgj,been marked, and, its. n;iotjoh-, can |be easilyfollowed. It wirt;|beseen that e-very part of the area TTBB willbe passedover once and aWays by a /orroarii motion of the the! wheel ,roll. -Thearea swept oyer once, but^with-a,.6ai()^iMi?^ rpflj itrau^J: ^^eia^fpre^jbecounted as negatiye.,, The are^; ^.cujty,es,is, pas^fad -PV6,r^wice, once with a fpi^ard a


The encyclopdia britannica; a dictionary of arts, sciences, literature and general information . rom a figure. In fig. iri petitionsrof the; , , _ ,_ , moving. rpd^ QT. h^vgj,been marked, and, its. n;iotjoh-, can |be easilyfollowed. It wirt;|beseen that e-very part of the area TTBB willbe passedover once and aWays by a /orroarii motion of the the! wheel ,roll. -Thearea swept oyer once, but^with-a,.6ai()^iMi?^ rpflj itrau^J: ^^eia^fpre^jbecounted as negatiye.,, The are^; ^.cujty,es,is, pas^fad -PV6,r^wice, once with a fpi^ard and ohce with a;bcidki^kM roll; ittherefore cbiiflts-once positive and bnce negati-ve;hence nttt at more complicated figures it may happen that the area, withinone gfiitheicurYesjisay TTBB, is passed over several ,timesi bmtthenit,wi|ll be p^^sfj^-flyer, oncei more iathe^jfpjrward. diFectipii. thanin the backward;ohe, and thus the theorem will Btffi hold.^ To use Ahislers planiniete^, place the pole O On the paper outsidethe figureto be Then the area generateH :.


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Keywords: ., bookcentury1900, bookdecade1910, booksubjectencyclo, bookyear1910