Transcription of Viviani曲線 球と円柱の共通部分の体積
1 Type-XH 3060427 Viviani ** 91 04 03 94 1 2 OA 2sin 2 2sin S1 S2 1 2 91 2 1 64/15 1 2 xyz F(++2x2y2z4(+201-x12y1(0z Type-XH 3060427 z=t , 2 z 1S 2S 2x+2y+2z= 201-x1 +2y= t=2sinh80(h9(p2 2x+2y=42cosh z=2sinh 2cosh x=22cosh A,B,C,D,E AB=2cosh AD=22cosh 4 BAE=h 4 BED=2h 1S 1202p1-4h%21 +12sin4h 1202p-4h1+sin4h2S 12%2h%2012cosh-12%2012cosh%sin2h 4h2cosh-22coshsin2h1S 1V.)))))
2 2S 2V 1V Q021S dt Q021201+-2p4hsin4hdt t=2sinh dtdh=2cosh 12Q0201+-2p4hsin4h 2coshdh Q0p201+-2pcosh4hcoshsin4hcoshdh Q0p2coshdh 0p24 5sinh 1 Q0p2hcoshdh 0p245+hsinhcosh p2-1 Q0p2sin4hcoshdh 12Q0p201+sin5hsin3hdh 120p2<=--15cos5h13cos3h 128159+13 415 1V 2p%1-4%8p29-1 +415 6415 2V Q022S dt Q0201-4h2cosh22coshsin2hdt Q0p201-4h2cosh22coshsin2h 2coshdh Q0p201-8h3cosh84coshsinhdh Q0p201-+2hcos3h6hcosh84coshsinhdh cos3h=43cosh-3cosh 3cosh=140cos3h1+3cosh Q0p2hcos3hdh 0p2<=+13hsin3h19cos3h -p6-19Q0p2hcoshdh 0p245+hsinhcosh p2-1 Q0p24coshsinhdh 0p2<=-155cosh 15 2V 28-p69-19+68p29-1 -8%15 83p-35245 V V 1V+2V 6415+83p-35245 83p-329
