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Analytic geometry, for technical schools and colleges (1897)

Lambert, Preston Albert, 1862-1925 · New York, Macmillan · leaf 66

An illustration from Analytic geometry, for technical schools and colleges, 1897, leaf 66
1=0 !J A r\ / ^-N \ / \ / \ \ / \ \ / \ t \ / \ \ 1 \ \ 1 \ \ k/ 1 — — \ To add giapliically two sine-functions of equal periods?/, = «i sin (co^ + ^,), ?/^ = ao (sin w^ + ^o), draw a pair of con-centric circles with rndii «, and a~y Let 1\0D and P.,OD beoj^ + $1 and (ot -f d., corresponding to the… … 52 ANAL YTIC GEOMETUF I\()D - P.,OD = ^1 - e.,. The ijarallelogram on 01\ and 01\for different values of t is the same j)arallelogram in differentpositions. This parallelogram has the same angular motionas OPi and 01\. Now y^ = PiAj 2/2 = P^D.,, hence p/;-PiA + P.A = 2/i + 2/.. and the sum of the…

Geometry, Analytic

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