Press n or j to go to the next uncovered block, b, p or k for the previous block.
| 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 | 1x 1x 1x 1x 1x 1x 1x 1x 1x 1x 1x 1x 1x 1x 1x 1x 1x 1x 1x 1x 1x 1x 1x 1x 1x 1x 1x 1x 1x 1x 1x 1x 1x 60x 60x 60x 60x 60x 60x 60x 60x 60x 60x 1x 1x 802x 802x 802x 802x 802x 1x | /*----------------------------------------------------------------------+
| Title: MeanProportionalElement.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: 2026, Nelson Brown, brownnrl@gmail.com |
| https://www.nelsonbrown.net/ |
+----------------------------------------------------------------------*/
import {PointElement} from "./PointElement";
export class MeanProportionalElement extends PointElement {
/*--------------------------------------------------------------------+
| Given lines S,T,U cut off from U a mean proportional U' so that |
| S:U'=U':T |
+--------------------------------------------------------------------*/
private _S0: PointElement;
private _S1: PointElement;
private _T0: PointElement;
private _T1: PointElement;
private _U0: PointElement;
private _U1: PointElement;
constructor(S0: PointElement, S1: PointElement, T0: PointElement,
T1: PointElement, U0: PointElement, U1: PointElement) {
super();
this.dimension = 0;
this._S0 = S0; this._S1 = S1;
this._T0 = T0; this._T1 = T1;
this._U0 = U0; this._U1 = U1;
if (U0._AP === U1._AP) {
this._AP = U0._AP;
}
}
public update() {
let factor : number = Math.sqrt(this._S0.distance2(this._S1) * this._T0.distance2(this._T1));
factor = Math.sqrt(factor / this._U0.distance2(this._U1));
this.to(this._U1).minus(this._U0);
this.times(factor).plus(this._U0);
}
}
|