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Page 332
Chizma geometriya, kartografiya, geodeziya, arxitektura va mexanika
masalalaridagi sistemaning harakat trayektoriyalarini ikkinchi tatibli egri chiziqlar
yordamida aniqlash masalasi muhim ahamiyatga ega. Biz quyidagi masalalarda Maple
tizimining imkoniyatalaridan foydalanib tekislikda beshta nuqtadan otuvchi chiziq turini
aniqlash va qurish masalalarini ko‘ramiz.
Quyidagi dasturda berilgan nuqtalarning tekislikda joylashuviga asosan Maple
dasturining conic
funksiyasi yordamida bu nuqtalardan o‘tuvchi egri chiziq turini
aniqlaymiz va uni quramiz (1-rasm).
> restart; with(geometry):
> x1:=3:y1:=0: x2:=3:y2:=1: x3:=0:y3:=1: x4:=–3: y4:=0: x5:=0:y5:=–1: #Ellips
uchun nuqtalar:
> #x1:=3:y1:=9: x2:=3:y2:=1: x3:=10:y3:=1:x4:=–3: y4:=0: x5:=0:y5:=–1:
#Giperbola uchun nuqtalar:
> point(P1,x1,y1),point(P2,x2,y2),point(P3,x3,y3), point(P4,x4,y4),point(P5,x5,y5);
> _EnvHorizontalName := 'x': _EnvVerticalName := 'y':
> conic(EG1,[P1,P2,P3,P4,P5]);
> form(EG1);
> detail(EG1);
> center(EG1),coordinates(center(EG1));
> draw([EG1(color=red),P1,P2,P3,P4,P5],color=blue,
axes=normal,style=LINE,printtext=true,thickness=3);
SCIENTIFIC PROGRESS
VOLUME 2 ǀ ISSUE 7 ǀ 2021
ISSN: 2181-1601
Uzbekistan
www.scientificprogress.uz
Page 333
1–rasm.
2. Yuqoridagi dasturga Giperbola uchun quyidagilarni qo‘shamiz (2-rasm):
> #x1:=3:y1:=9: x2:=3:y2:=1: x3:=10:y3:=1: x4:=–3: y4:=0: x5:=0:y5:=–1:
#Giperbola uchun nuqtalar:
Giperbola tenglamasi:
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