Press n or j to go to the next uncovered block, b, p or k for the previous block.
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| Title: Bichord.ts |
| A port of the software Geometry Applet by |
| Author: David E. Joyce |
| Department of Mathematics and Computer Science |
| Clark University |
| Worcester, MA 01610-1477 |
| U.S.A. |
| |
| http://aleph0.clarku.edu/~djoyce/home.html |
| djoyce@clarku.edu |
| |
| Date: February, 1996. Version 2.0.0 May, 1997. |
| TypeScript Port: 2019, Nelson Brown, brownnrl@gmail.com |
| https://www.nelsonbrown.net/ |
+----------------------------------------------------------------------*/
import {LineElement} from "./LineElement";
import {CircleElement} from "../circle/CircleElement";
import {PointElement} from "../point/PointElement";
interface IBichordElementConstructor {
C : CircleElement;
D : CircleElement;
}
export class Bichord extends LineElement {
/*--------------------------------------------------------------------+
| This line AB connects the two points where the two circles C and D |
| meet. It is assumed that the two circles lie in the same plane, the |
| plane of C. |
+--------------------------------------------------------------------*/
public C: CircleElement;
public D: CircleElement;
constructor(ibe? : IBichordElementConstructor) {
super();
this.dimension = 1;
if (ibe == null) return;
this._A = new PointElement();
this._B = new PointElement();
this.C = ibe.C;
this.D = ibe.D;
this._A._AP = this.C.AP;
this._B._AP = this.C.AP;
}
public translate(dx: number, dy: number) {
this._A.translate(dx, dy);
this._B.translate(dx, dy);
}
public rotate(pivot : PointElement, ac : number, as : number) {
this._A.rotate(pivot, ac, as);
this._B.rotate(pivot, ac, as);
}
public update() {
let r : number = this.C.radius;
let s : number = this.D.radius;
let d : number = this.C.Center.distance(this.D.Center);
if (d > r + s) {
let v = 0.0/0.0;
this.A.x = v;
this.A.y = v;
this.A.z = v;
this.B.x = v;
this.B.y = v;
this.B.z = v;
return;
}
let costheta : number = (d*d + r*r - s*s) / (2.0 * d * r);
let sintheta : number = Math.sqrt(1.0-costheta*costheta);
this.A.to(this.D.Center).toCircle(this.C);
this.B.to(this.A);
this.A.rotate(this.C.Center,costheta,sintheta,this.C.AP);
this.B.rotate(this.C.Center,costheta,-sintheta,this.C.AP);
}
}
|