Formulas.

[joseyisleet]

-=Josey=-
Someone asked for the formula on a circle a while back, so I decided to start a thread on other formulas with the area and perimeter of an object. Please add to this thread so we can have more moving objects. ;D

A = Area
B = Base
C = Circumference
D = Diameter
S = Side
L = Lenght
H = Height
P = Perimemter
R = Radius
Pi = 3.14
* = Multiplied by

-=Areas=-

Square:
A = S*2

Rectangle:
A = L*W

Parallelogram:
A = B*H

Triangle:
A = .5*B*H

Circle:
A = Pi*R*2

-=Perimemter=-

Square:
P = 4*S

Rectangle:
P = 2*L+2+W

Triangle:
P = S1+S2+S3

Circumference of a circle:
C = Pi*D


These are all of the basic ones. If you have any, post em! ;D

[kyle0654]

Please excuse me if some of these don't work. They should, but it's been a while since I've scripted.

New Variables in red.


Ang = Angle, in Degrees
Rad = Angle, in Radians


-= Degrees to Radians =-

Rad = Ang * Pi / 180
Ang = Rad * 180 / Pi

-= Location of a point on a circle =-

X = X of point on circle
Y = Y of point on circle

X = cos(Ang)*R
Y = sin(Ang)*R

-= Angle of a point on a circle (when angle is unknown) =-

OX = Origin X (center of circle)
OY = Origin Y (center of circle)

Rad = arctan( ( Y - OY ) / ( X - OX) ) + ( Pi * ( X < OX) )

[joseyisleet]

-=Josey=-
- Digs out some old mathemetics books and starts to look for some. People better use these or this thread is useless. ;\

[Wes2000]

Im pretty good at math, but sometimes i cant find a way to put the math into use in GScript. Could someone post a short example possibly moving a object with one of the formulas or anything real simple?

[Lomgren]

[EDIT] the forum replaced my theta with a sideways E so don't yell at me[/EDIT]

*sits down with dusty old book in lap*
Heh, these are fun indeed!
:New Variables:
Ø - theta (inner angle of a circle, 360 deg. 1 radian)
a - any real number
b - any real number
n - any positive integer

:Formulas:
-Rose-
R = a*cos(n*Ø)
R = a*sin(n*Ø)

-Lemniscate-
R^2 = a^2*cos(2*Ø)
R^2 = a^2*sin(2*Ø)

-Limaçon-
R = a + b*cos(Ø)
R = a + b*sin(Ø)

-Cardioid-
R = a + a*cos(Ø)
R = a + a*si(Ø)

-Spiral of Archimedes-
R = a*Ø

-convert polar to rectangle coordinates-
x = R*cos(Ø)
y = R*sin(Ø)
-or for graal's y scale-
y = -R*sin(Ø)

and for a simple script to test these formulas;
[script]
for (i=startx;i<=lastx;i+=interval) {
<insert formula here, but use i for the non-constant variable
<(Ø for most formulas, change all others to your descretion>
showimg i*(1/interval),kstar.gif,x+g,y-h;
}
[/script]

but change the startx, lastx, and interval to what you want,
and replace the x with g, and y with h in the formulas,
except for the polar graphs, just use the conversion formulas.

[BocoC]

Originally posted by Kaimetsu




You're saying that 360 degrees = 1 radian?

If I'm not mistaken, 6.28318530717958647692528676655901 radians equals 360 degrees.

[Lomgren]

Originally posted by Kaimetsu




You're saying that 360 degrees = 1 radian?

[Embarassment]
oops, I messed that up bad,hehe

2pi radians equals 360 degrees
[/Embarassment]

I tend to forget things, even if I just learned them six months ago!

[dragoonvenganc]

Kammy if im not mistaken.. in math
if u write
ab
that means the same as
a*b..
so 2pi=2*pi
because when u say 2 pi u mean u have 2 of pi. so that means u would multiply them.

[G_yoshi]

Originally posted by dragoonvenganc
Kammy if im not mistaken.. in math
if u write
ab
that means the same as
a*b..
so 2pi=2*pi
because when u say 2 pi u mean u have 2 of pi. so that means u would multiply them.

correct

[Faheria_LAT1]

Originally posted by dragoonvenganc
Kammy if im not mistaken.. in math
if u write
ab
that means the same as
a*b..
so 2pi=2*pi
because when u say 2 pi u mean u have 2 of pi. so that means u would multiply them.

yeah but if you would read the quote it shows pi, not 2pi

[Wes2000]

For constant acceleration
d = d0 + vt + .5at^2
v = v0 + at
v^2 = 2ad

Acceleration on a cylinder (space colony, etc.) of radius r and
rotation period t:

a = 4 pi**2 r / t^2

For circular Keplerian orbits where:
Vc = velocity of a circular orbit
Vesc = escape velocity
M = Total mass of orbiting and orbited bodies
G = Gravitational constant (defined below)
u = G * M (can be measured much more accurately than G or M)
K = -G * M / 2 / a
r = radius of orbit (measured from center of mass of system)
V = orbital velocity
P = orbital period
a = semimajor axis of orbit

Vc = sqrt(M * G / r)
Vesc = sqrt(2 * M * G / r) = sqrt(2) * Vc
V^2 = u/a
P = 2 pi/(Sqrt(u/a^3))
K = 1/2 V**2 - G * M / r (conservation of energy)



Anyone think they can use those?

[KJL]

Originally posted by joseyisleet
-=Josey=-
Someone asked for the formula on a circle a while back, so I decided to start a thread on other formulas with the area and perimeter of an object. Please add to this thread so we can have more moving objects. ;D

A = Area
B = Base
C = Circumference
D = Diameter
S = Side
L = Lenght
H = Height
P = Perimemter
R = Radius
Pi = 3.14
* = Multiplied by

-=Areas=-

Square:
A = S*2

Rectangle:
A = L*W

Parallelogram:
A = B*H

Triangle:
A = .5*B*H

Circle:
A = Pi*R*2

-=Perimemter=-

Square:
P = 4*S

Rectangle:
P = 2*L+2+W

Triangle:
P = S1+S2+S3

Circumference of a circle:
C = Pi*D


These are all of the basic ones. If you have any, post em! ;D

humm I beleve a square is

Square:
A = S^2 (not A=S*2)

and

Rectangle:
P = 2*L+2*W (not P = 2*L+2+W)

[joseyisleet]

[confuzed]Im is Confused lol i have a learning Disablility Dislexia,and like rofl this shi*s hard core maths rofl but please correct me if im wrong but That square thingy mabob wouldnt in include 4 in dah formula case of 4sides for faces and yah like maybe 2*4+16 or some crap lol [/confuzed]

[joseyisleet]

Ohh,well i thought considering that theres like 4 sides 4 faces and Shiot that it would have something like that but ehh i was wrong and i was like 99.9 percent sure i was wrong rogl =D

[LiquidIce00]

line in intercept slope form
y=mx+b

slope
m=(y2-y1)/(x2-x1)

y intercept
b=-m*x+y;

Distance formula
d=((y2-y1)^2+(x2-x1)^2)^.5