The encyclopdia britannica; a dictionary of arts, sciences, literature and general information . area it gives the fir§t or second moment of a figure about anaxis in its plane. An instrument giving all three quantities simul-taneously is known as Amslers integrator or moment-planimeter. Ithas one traceri, ,.b,u,t threp, recording wheels. It is mounted on a Amslers late- grator. -Fig. 19. radius 30. Against^these gear , B and C, with radii atheir axes are fixfed in the carriage. ^From the disk A ex-tends to the left a rod OT of length /, on which a record-ing wheel W is mounted. The
The encyclopdia britannica; a dictionary of arts, sciences, literature and general information . area it gives the fir§t or second moment of a figure about anaxis in its plane. An instrument giving all three quantities simul-taneously is known as Amslers integrator or moment-planimeter. Ithas one traceri, ,.b,u,t threp, recording wheels. It is mounted on a Amslers late- grator. -Fig. 19. radius 30. Against^these gear , B and C, with radii atheir axes are fixfed in the carriage. ^From the disk A ex-tends to the left a rod OT of length /, on which a record-ing wheel W is mounted. The disks B and C have alsorecording wheels, Wi-3ndW2rthe~axisof Wi being per-pendicular, that of Ws parallel to OT. If now T is guided round afigure F, O will move to and fro in a straight line. This part is there-fore aBimplepIcfnimeterJin which end of the arm njoyesjinastraight line instead of ina circular arc. Consequently, ther,,roll ofWwUl record theiarea of the figure.! Iiflagine now that the disks B^andC also receive armsof length i from the cejitres of the Ti X. o Fig. 20. ,,--- i and Tj, and in, the direction of the axes of the wheals. Then thesearms with their wheels will again be planimeters. As T is jguidedround thq given figure points Ti #b^;closedfuryes, Fi and the ,rolls of Wi ahdrWj-will give theirafe^s Ai andAz. Let XX (f^g. 20) idenote theiliiie, parallel: to therail, on which O moves; then,when,IT lies on tnjp line, the arm BTiis, perpendicular to . parallel to iti ^ isjturnedthrough an angle 6, ,ctoc}cwise, Blri_ will turn^ounter-clgtkwisethrough an angle 26, and CT2 through-an aiigfe-s^also-counter-glockwise.,, If in, this position T is moved tHroiign a distance xparallel ^ds XX, the points Ti and,Tj wiU move parallel to itthrough an equal djstapcej : If: now the first larm is turned through asmall angle d6, mpyed back , and lastly turnedback through |the
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Keywords: ., bookcentury1900, bookdecade1910, booksubjectencyclo, bookyear1910
