Soddy: Finds the inner and outer Soddy circles of three given...

In LearnGeom: Learning Plane Geometry

Description

Soddy finds inner and outer Soddy circles of three given mutually tangent circles

Usage

Soddy(A, r1, B, r2, C, r3)

Arguments

A	Vector containing the xy-coordinates of the center of circumference 1
r1	Radius for circumference 1
B	Vector containing the xy-coordinates of the center of circumference 2
r2	Radius for circumference 2
C	Vector containing the xy-coordinates of the center of circumference 3
r3	Radius for circumference 3

Value

A list which contains the Soddy center and the radiuses of Soddy inner and outer circle of three mutually tangent circles

References

http://mathworld.wolfram.com/SoddyCircles.html

Examples

x_min <- -3
x_max <- 3
y_min <- -2.5
y_max <- 3.5
CoordinatePlane(x_min, x_max, y_min, y_max)
A <- c(-1,0)
B <- c(1,0)
C <- c(0,sqrt(3))
r1 <- 1
r2 <- 1
r3 <- 1
Draw(CreateArcAngles(A, r1, 0, 360), "black")
Draw(CreateArcAngles(B, r2, 0, 360), "black")
Draw(CreateArcAngles(C, r3, 0, 360), "black")
result <- Soddy(A, r1, B, r2, C, r3)
soddy_point <- result[[1]]
inner_radius <- result[[2]]
outer_radius <- result[[3]]
Draw(soddy_point,"red")
Draw(CreateArcAngles(soddy_point,inner_radius,0,360),"red")
Draw(CreateArcAngles(soddy_point,outer_radius,0,360),"red")

Example output

NULL
NULL
NULL
NULL
NULL
NULL
NULL

LearnGeom documentation built on July 14, 2020, 5:06 p.m.