Kel 3 Paraboloid

8/16/2019 Kel 3 Paraboloid

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PARABOLOIDBy :1. Ambarwati2. Luchiatul Amalia3. Putri Rizqika4. Qurrta A.!. Lita ".#. $a%i%&a '.



A (arabli& is a quadraticsurface of special kind.

There are two kinds of parabol:Elliptic and Hyperbolic.

The elliptic paraboloid is shaped like aoval cup and can have a maximum orminimum point. In a suitable coordina

system with three axis x y and z



)$* *+)*,)- O D*/R** )

The rules to make move ellips is :!. The plane is always parallel to plane "#$

%. &enter point of ellips is always located on the '

(. Two from peak is always located on ali)nment

*. Ellips that be moved is always seban)un to the



!. Ellips that be moved located on plane "#the equation :

' , -



Ellipse is a curve on a plane that surrounds two focal

such that the sum of the distances to the two focal po

constant for every point on the curve





Trian)le F /PF on the picture with vertexs01c -2 0c -2 dan 0 x y 2 one of its side halen)th %c.3hile the product of two another side is %

4o

%a 5 %c

a 5 c

a%

5c%

a% 1 c% 5 -.

b% , a% 1 c% 0(2



If equation 0(2 substitute to equation 0%2 so we cathe equation :

Equation (4) above called Ellips quation standard form

Indonesia Persamaan ellips bentuk baku

4



%. 6aris arah dari ellips yan) ber)erak adalah papada bidan) $#7 den)an persamaanx , -y8 , %p'

Menentukan pers

parabola di punc



T9 , T;T8;98,T98

yi8,%p'i

ersamaan parabola yan) puncaknyadan sumbu simetrisnya ' adalah : y8,



<arena memenuhi aturan ! % dan ( mak0- yo =2 terletak pada ellipssehin))a memenuhi yo8, %p =

<arena aturan ! % dan * maka dipenuhi ,atau xo8 , yo8 ,

>adi persamaan ellips yan) terletak pada bidan) ' , = terse

' , =

, !

?en)an men)eliminasi = dan persamaan ellips ini diperoleh , '

ersamaan ini merupakan persaman paraboloida ellips den)puncak di #

•



Kel 3 Paraboloid

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