Pallo

[list=1][*]Piirrä pallo, jonka keskipisteenä on piste (0,0,0) ja jonka pinta kulkee pisteen (0,-2,0) kautta [icon]/images/ggb/toolbar/mode_sphere2.png[/icon].[/*][*]Piirrä toinen pallo, jonka keskipisteenä on piste (3,0,0) ja jonka säde on 2,5 [icon]/images/ggb/toolbar/mode_spherepointradius.png[/icon]. Vaihda tämän pallon väri vihreäksi ja värin peittävyys arvoon 80.[/*][*]Muodosta kahden pallopinnan leikkauskäyrä [icon]/images/ggb/toolbar/mode_intersectioncurve.png[/icon]. [/*][*]Piilota kaksi äsken piirrettyä pallo-objektia näkyvistä.[/*][*]Määritä leikkauskäyrän keskipiste [icon]/images/ggb/toolbar/mode_midpoint.png[/icon].[/*][*]Piirrä uusi pallo, jonka keskipisteenä on äsken määritetty leikkauspiste, ja jonka pinta on leikkauskäyrällä.[/*][*]Palauta kaikki piilotetut pallot näkyviin. Tämä onnistuu parhaiten algebra ikkunan kautta, joten se kannattaa ottaa näkyville:[/*][*][img]data:image/png;base64,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[/img][br][/*][/list]

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