(12C Platinum) Parabola - arc length

[Gamo]

Parabola -arc Length program in RPN mode using this formula:

   

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Instruction:

H [ENTER] L [R/S] display Answer of Parabola arc length

H is the Height
L is the distance from both end

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Example: FIX 4

H is 20 feet and L is 90 feet, what is the length of S?

20 [ENTER] 90 [R/S] display 100.7376

Answer: 100.7376 feet

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Program: RPN mode (For HP-12C replace [X^2] to [ENTER] [x]

Code:


001 STO 1
002 R↓
003 STO 0
004 X^2
005  1
006  6
007  x
008 RCL 1
009 X^2
010  +
011  √x
012 STO 2
013 RCL 0
014  4
015  x
016  +
017 RCL 1
018  ÷
019 LN
020 RCL 1
021 X^2
022 RCL 0
023  8
024  x
025  ÷
026  x
027 RCL 2
028  2
029  ÷
030  +

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