## Sunday, January 10, 2016

### HP 15C: Coordinates on an Ellipse

HP 15C:  Coordinates on an Ellipse

Store the following values before running:
R0 = number of points.  θ always starts at 0° to 360° in equal increments.
R1 = a, length of horizontal semi-axis
R2 = b, length of vertical semi-axis

R3 is used as a counter.

The center is assumed to be (0,0).

Program:

 Step Key Key Code 001 LBL B 42, 21, 12 002 DEG (Degrees mode) 43, 7 003 RCL 0 45, 0 004 1 1 005 - 30 006 3 3 007 10^X 13 008 ÷ 10 009 STO 3 44, 3 010 3 3 011 6 6 012 0 0 013 RCL÷ 0 45, 10, 0 014 STO 4 44 ,4 015 LBL 2 42, 21, 2 016 RCL 3 45, 3 017 INT 43, 44 018 R/S 31 019 RCL* 4 45, 20, 4 020 ENTER 36 021 COS 24 022 RCL* 1 45, 20, 1 023 R/S 31 024 X<>Y 34 025 SIN 23 026 RCL* 2 45, 20, 2 027 R/S 31 028 ISG 3 42, 6, 3 029 GTO 2 22, 2 030 RTN 43, 32

Outputs:
Point number (0 through n-1), [ R/S ]
X coordinate [ R/S ],
Y coordinate [ R/S ]

The program continues until all the points are revealed.

Example:

R0 = 6,  R1 = 1.2500,  R2 = 2.4700  (FIX 4 mode)

 Point # X Y 0 1.2500 0.0000 1 0.6250 2.1391 2 -0.6250 2.1391 3 -1.2500 0.0000 4 -0.6250 -2.1391 5 0.6250 -2.1391

This blog is property of Edward Shore.  2016.

#### 1 comment:

1. how to check coordinates of ellipse

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