Sharp EL-5230 User Manual Page 97
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Chapter 8: Application Examples
P (X
1
, Y
1
)
S (X
3
, Y
3
)
Q (X
2
, Y
2
)
O (X, Y)
X
1
–X
Y
1
–Y
R
R
R
(X
1
2
+Y
1
2
-X
2
2
-Y
2
2
)(Y
2
–Y
3
) – (X
2
2
+Y
2
2
-X
3
2
-Y
3
2
)(Y
1
–Y
2
)
2{(X
1
–X
2
)(Y
2
–Y
3
) – (X
2
–X
3
)(Y
1
–Y
2
)}
X = ------ 1
(X
1
2
+Y
1
2
-X
2
2
-Y
2
2
)(X
2
–X
3
) – (X
2
2
+Y
2
2
-X
3
2
-Y
3
2
)(X
1
–X
2
)
2{(Y
1
–Y
2
)(X
2
–X
3
) – (Y
2
–Y
3
)(X
1
–X
2
)}
Y = ------ 2
R =
(X – X
1
)
2
+ (Y – Y
1
)
2
------ 3
GM – HK
2 (IM – JK)
X =
GJ – HI
2 (KJ – MI)
Y =
* Calculate intermediate
values.
A circle that passes through 3 points
When three different points, P (X1, Y1), Q (X2, Y2), S (X3, Y3) are given,
obtain the center coordinates O (X, Y) and the radius R of the circle that
passes through these points.
To satisfy the above conditions, the
distances between P, Q, S and O
should be equal. as they are the
radius of the same circle. Therefore,
PO = QO = SO = R
Using the Pythagorean theorem,
PO
2
=
(
X1 – X
)
2
+
(
Y1 – Y
)
2
= R
2
QO
2
=
(
X2 – X
)
2
+
(
Y2 – Y
)
2
= R
2
SO
2
=
(
X3 – X
)
2
+
(
Y3 – Y
)
2
= R
2
then
To enhance both readability and writability of the program, intermediate
variables G, H, I, J, K and M are used.
The above equations reduce to
1.
Press b 2 1 0 to open a window for creating a NEW program.
2. Type CIRCLE for the title then press e.
•A NEW program called ‘CIRCLE’ will be created.
3. Enter the program as follows.
Program code Key operations
Print”ENTER COORDS i 1 @ a ENTER s COORDS
; e
G=X≥Œ+Y≥Œ-X√Œ-Y√Œ ; G ; = @ v X1 e
e A + @ v d Y1 e
e A - @ v d d X2
e e A - @ v d
d d Y2 e e A e
- SHARP CORPORATION 1
- SHARP EL-5230/5250 3
- Contents 4
- Introduction 9
- Operational Notes 10
- Key Notation in This Manual 11
- Before You Get Started 13
- The Hard Case 14
- Calculator layout 15
- Exponent 16
- Mantissa 16
- Dot matrix 16
- Operating Modes 17
- A Quick Tour 18
- 8Œ©‰3-7˚–10.5= 19
- 110.4504172 19
- 8Œ©‰3-7˚–10.5 19
- NORMAL MODE 20
- H=z 0 21
- R=z 8 21
- 1ı3πRŒH= 22
- 678.5840132 22
- 670.2064328 22
- H= 10.125 24
- R¬ 678.5840132 24
- L¬ 678.5840132 24
- General Information 25
- Cursor keys 26
- Delete key 27
- Multi-entry recall function 27
- The SET UP menu 28
- Using Memories 29
- ƒz ‹ fl 30
- ⁄ › ‡ 30
- ¤ fi ° 30
- 1ıA¡-1000A= 31
- 74000 31
- 141.3716694 32
- Using memory in each mode 33
- Resetting the calculator 34
- Scientific Calculations 35
- Functions 36
- 20.08553692 37
- Math menu Functions 38
- 86400 39
- 0∂0∂1500Ωmin 39
- 25 39
- Differential function 40
- Integral function 41
- Random Function 43
- Example Key operations Result 44
- Fraction Calculations 45
- Operations (N-base) 46
- 12∂34∂56.78∂ 48
- Coordinate Conversions 49
- No. Constant Symbol Unit 50
- 100m × 10k = 52
- 100 @ j 6 k 52
- 10 @ j 5 e 52
- Modify Function 53
- Solver Function 54
- D= 20 55
- R¬ 50 55
- L¬ 50 55
- Important notes 56
- Simulation Calculation (ALGB) 57
- BCsinA©2_ 58
- BCsinA©2 58
- B=z 0 58
- SAVE:RING_ 60
- QUIT¬[ENTER] 61
- TITLE:RING 61
- DELETE¬[DEL] 61
- Statistical Calculations 63
- Linear regression calculation 64
- Data Entry and Correction 65
- X=z 4 66
- Y= 3 66
- › 3 66
- DATA SET= 1 69
- DATA SET= 2 69
- DATA SET= 3 69
- DATA SET= 5 69
- Stat 2 [QUAD] 70
- Equation Solvers 71
- D= –3 72
- X⁄ 5 73
- X¤–6.333333333 73
- X⁄–1.233600307 74
- X¤ 0.216800153 74
- +1.043018296i 74
- Complex Number 75
- Calculations 75
- COMPLEX MODE 76
- 76
- Programming 77
- Creating a NEW Program 78
- SLOPE :NORMAL 79
- 6 80
- Programming Commands 81
- Chapter 7: Programming 82
- Flow control 83
- Equalities and inequalities 84
- Statistical Commands 85
- Editing a Program 86
- Deleting Programs 88
- Application Examples 89
- The Heron Formula 91
- 349.944192 92
- NBASE :NBASE 93
- PROGRAM? 93
- * Calculate intermediate 97
- *Perform equation 1 98
- * Perform equation 2 98
- * Perform equation 3 98
- DECAY :NORMAL 99
- Running the program 100
- (1)DELTA TO Y 103
- (2)Y TO DELTA 103
- Obtaining tensions of strings 104
- 23.761 105
- 21.966 105
- 0.000 112
- TŒ=(4πŒ)©(GM)˚ 112
- Example 1 114
- Example 2 114
- DATA SET= 4 115
- 13254.15 115
- The state lottery 116
- Appendix 117
- Cautions 118
- Replacement procedure 118
- Automatic power off function 119
- The OPTION menu 120
- <<DELETE>> 121
- Error Messages 122
- - ERROR 02 123
- CALCULATION 123
- RANGE:a<b 124
- Solving y = sin x for y = 0 125
- Technical Data 126
- Function Dynamic range 127
- * n, r: integer 128
- Specifications 130
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