"Active Keys = <SPACE>..<ESCape>...- SORRY!... No plot available to overlay.
Exiting!..U
*** SPLINE PROCEDURES ***.Sounds like a lot, but don't worry, it's EASY!
SPLINE Information NThe SPLINE module is extremely powerful yet simple to use. It accepts six setsMof data which are used to automatically develop numerous additional data setsNas needed to define a smooth curve. The only requirements placed on your dataNare that the values lie within system limits of +/- 99, and that they be in anMascending order of X. The six data sets are obtained by solving any equation*that can be expressed in terms of X and Y.#The STEPS to accomplish this are...HSTEP 1. DECIDE upon an EQUATION in X and Y that you wish to investigate.6STEP 2. TRANSPOSE the EQUATION to obtain a Y=X format.1STEP 3. SELECT 6 values for X in ASCENDING ORDER!9STEP 4. SOLVE the EQUATION for Y with your 6 values of X.ESTEP 5. PAIR the Y values obtained with their corresponding X values.5STEP 6. ENTER the X and Y value pairs at the prompts.< U
Y(# WARNING!... Single or multiple% substitutions required to maintain ascending "X" sequence...
Maxima=
Minima=
Function Mean=
Approx. X Intercept=
SPLINE STATISTICSU
User Defined!
*** SPLINE FUNCTION ***
"Active Keys = <SPACE>..<ESCape>...- SORRY!... No plot available to overlay.
Exiting!..U
! & + a o
$!2!^!l!t!
"$"-"E"X"a"j"
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N N2N7N<NIN[N`NeNrN
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SINE HELP
VARIABLE PRIMARILY AFFECTS:
A Amplitude/Polarity
B Period of wave
C Phase Shift
EXAMPLE VALUES
4,1,0 Standard wave
8,1,0 Amplitude change
5,5,0 Period change"5,1,1 57.3 Degree phase shiftU
COSINE HELP
VARIABLE PRIMARILY AFFECTS:
A Amplitude/Polarity
B Period of wave
C Phase Shift
EXAMPLE VALUES
4,1,0 Standard wave
8,1,0 Amplitude change
5,5,0 Period change"5,1,-1.6 91.7 Degree phase shift
Transition into SineU
TANGENT HELP
VARIABLE PRIMARILY AFFECTS:
A Amplitude/Polarity
B Period of wave
C Phase Shift
EXAMPLE VALUES
4,1,0 Standard wave
8,1,0 Amplitude change
5,5,0 Period change"5,1,-1 -57.3 Degree phase shiftU
COSECANT HELP
VARIABLE PRIMARILY AFFECTS:
A Amplitude/Polarity
EXAMPLE VALUES
4.0 Standard wave
20 Amplitude change
-8.0 Polarity inversionU
SECANT HELP
VARIABLE PRIMARILY AFFECTS:
A Amplitude/Polarity
EXAMPLE VALUES
4.0 Standard wave
20 Amplitude change
-8.0 Polarity inversionU
COTANGENT HELP
VARIABLE PRIMARILY AFFECTS:
A Amplitude/Polarity
EXAMPLE VALUES
4.0 Standard wave
20 Amplitude change
-8.0 Polarity inversionU
SINE: Y = A*Sin(BX+C)
SINE: Sin(X) = Tan(X)*Cos(X)
*** SINE FUNCTION ***U
COSINE: Y = A*Cos(BX+C)
COSINE: Cos(X) = Sin(X)/Tan(X)
*** COSINE FUNCTION ***U
TANGENT: Y = A*Tan(BX+C)
TANGENT: Tan(X) = Sin(X)/Cos(X)
*** TANGENT FUNCTION ***U
COSECANT: Y = A*Csc(X)
COSECANT: Csc(X) = 1/Sin(X)
*** COSECANT FUNCTION ***U
SECANT: Y = A*Sec(X)
SECANT: Sec(X) = 1/Cos(X)
*** SECANT FUNCTION ***U
COTANGENT: Y = A*Cot(X)!COTANGENT: Cot(X) = Cos(X)/Sin(X)
*** COTANGENT FUNCTION ***U
&Calculating!...Please wait a moment...
Amplitude=+/-
Phase Shift=
Frequency=
Period=
SINE STATISTICSU
&Calculating!...Please wait a moment...
Amplitude=+/-
Phase Shift=
Frequency=
Period=
COSINE STATISTICSU
&Calculating!...Please wait a moment...
Phase Shift=
Frequency=
Period=
TANGENT STATISTICSU
&Calculating!...Please wait a moment...
Frequency=
Period=
CSC. STATISTICSU
&Calculating!...Please wait a moment...
Frequency=
Period=
SEC. STATISTICSU
&Calculating!...Please wait a moment...
Frequency=
Period=
COT. STATISTICSU
<X<
"Active Keys = <SPACE>..<ESCape>...- SORRY!... No plot available to overlay.
Exiting!..U
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6!M!R!v!
"N"t"
#.$<$i$w$
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'((S(u(
)+)R)`)h)
-&-M-[-c-
1!1H1V1^1
2q2|2
5,5S5a5i5
5J6c6l6u6
7$757C7[7j7s7|7
738<8J8v8
9!939
:&:+:3:
QUADRATIC HELP
VARIABLE PRIMARILY AFFECTS:
A Root Separation
B Root Reversal
C Imaginary Roots
EXAMPLE VALUES!1,6,0 Roots of - 6 and 0 -1,6,0 Roots of 6 and 0
1,0,0 Both Roots = 0U
1.0$ WARNING!..."A" must not equal "0"& This would lead to division by zero.& ** DIVISION BY ZERO IS UNDEFINED. **
0.0' WARNING!..."B
-4AC" must not be < "0"& This would lead to IMAGINARY ROOTS.& ** (-) SQUARE ROOTS ARE ILLEGAL ! **U
Scale Factor =
Greater Root=
Lesser Root=
Root Separation=
QUADRATIC STATISTICS
Scale Factor = Unit ScaleU
Quadratic: AX
+BX+C = 0
*** QUADRATIC EQUATION ***
Y= 0.0
Quad.: X = -B +/-
-4AC)/2A
"Active Keys = <SPACE>..<ESCape>...- SORRY!... No plot available to overlay.
Exiting!..U
CIRCLE HELP
VARIABLE PRIMARILY AFFECTS:
A Horizontal Offset
B Vertical Offset
R Circle Size
EXAMPLE VALUES
-5, 0, 4 Y = 0 Axis
-5,-5, 4 3rd. Quadrant$0, 0, 1.1 Small circle at origin$0, 0, 5 Large circle at originU
PARABOLA HELP
VARIABLE PRIMARILY AFFECTS:
A Amplitude/Polarity
D Phase Shift
F Vertical Offset
EXAMPLE VALUES
8,-5, 0 Phase Shift
-7, 0, 0 Reverse Polarity
3, 0, 0 Wider
7, 0,-30 Negative OffsetU
ELLIPSE HELP
VARIABLE PRIMARILY AFFECTS:
A Horizontal Width
B Vertical Height
EXAMPLE VALUES
4,8 Major Axis Vertical 8,4 Major Axis Horizontal!5,5 Transition into Circle$5,3 Foci =
16=+/-4.0U
HYPERBOLA HELP
VARIABLE PRIMARILY AFFECTS:
K Horizontal Offset
EXAMPLE VALUES 0.5 Approaching Asymtotes
5 Normal Hyperbola
90 Transition into LineU
CONIC SECTION HELP%To properly visualize conic sections,%prepare a set of Right Circular Cones&out of paper and cut (section) them as'directed. The cut-line will describe a:$Circle: -Selection 1- if cut through
a cone parallel to either base.'Ellipse: -Selection 2- if cut at a ver-
tical angle through a cone.&Parabola: -Selection 3- if either cone
is cut at a vertical angle at
a distance from the diameter.$Hyperbola: -Selection 4- if cut ver-
tically through both cones atU
1.0$ WARNING!..."R" must not be < "0"( This would represent a negative length.' ** NEGATIVE LENGTHS DO NOT EXIST ! **
CIRCLE: (X-A)
+(Y-B)
CIRCLE: X
(A=B=0)
*** CIRCLES ***U
<X<
PARABOLA: Y = AX
+DX+F
PARABOLA: Y = AX
(D=F=0)
*** PARABOLIC FUNCTION ***U
1.0% WARNING!..."A" must not be =< "0")This would represent an illogical length.)** ILLOGICAL LENGTHS ARE NOT ALLOWED ! **
A=% WARNING!..."B" must not be =< "0"
ELLIPSE: (X
) = 1
ELLIPSE: (X
) = 1 (A=B=1)
*** ELLIPSOIDS ***U
1.0$ WARNING!..."K" must not be < "0"( This would represent a negative length.' ** NEGATIVE LENGTHS DO NOT EXIST ! **
"Active Keys = <SPACE>..<ESCape>...( SORRY!... No Statistics available.- SORRY!... No plot available to overlay.
Exiting!..U
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TRIANGLE HELP
EXAMPLE TRIANGLES: 3 Points are
needed to define a triangle...
RIGHT Triangle...
Point#1 X= -3.0, Y= -3.0
Point#2 X= 3.0, Y= -3.0
Point#3 X= -3.0, Y= -3.0
EQUILATERAL (close) Triangle...
Point#1 X= -4.0, Y= -3.5
Point#2 X= 4.0, Y= -3.5
Point#3 X= 0.0 Y= 3.5U
Not a Triangle!
Length#1=
Length#2=
Length#3= Angle#1= Angle#2= Angle#3=
Total of Sides=
TRIANGLE STATISTICSU
User Defined Vertices.
*** TRIANGLE MODULE ***
"Active Keys = <SPACE>..<ESCape>...' SORRY!... No Triangle statistics.- SORRY!... No plot available to overlay.
Exiting!..U
IMPORT HELP
(A) Insure each X value has a
corresponding Y value. Place
them on separate lines, X value
line first.
(B) Insure you leave a space
between values and any comments
on their lines.
(C) Acceptable value formats
include: 0.1, 1, 1.2, 12,
-0.1, -1, -1.2, -12U
Reading Your DATA File...!ERROR detected in NUMERIC INPUT #
REPLACED with ZEROS+UNKNOWN ERROR detected, REPLACED with ZEROS/ SORRY!... File was found EMPTY..Aborting!2ERROR! UNEVEN NUMBER of values, LAST value REMOVED#Check your IMPORT value SEQUENCE...
IMPORT was Successful!...
Y Maxima=
Y Minima=
Y Mean=
Y Variance=
Y Std. Deviation=
IMPORT STATISTICS
*** XYSee IMPORT ***
Readings=
Check Scale!
/Active Keys = <ARROWS>..<ESCape>..<Alt-Plot>...
- SORRY!... No plot available to overlay.
Exiting!..U
.IMPU
" ; R i q y
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0#0(0e0q0
1!1<1S1_1i1
1-D POINT HELP
VARIABLE AFFECTS:
A Horizontal Amplitude.
B Horizontal Amplitude.
EXAMPLE VALUES
7, -2 Standard Point.
0, 0 X=0 Axis." 6, 3 Maximum (+) Offset."-12, 3 Maximum (-) Offset.U
2-D POINT HELP
VARIABLE PRIMARILY AFFECTS:
A Vertical Amplitude. X Horizontal Amplitude.
B Vertical offset.
EXAMPLE VALUES
1,5,0 Standard Point.
1,0,5 X=0 Axis.
0,5,0 Y=0 Axis."1,10,0 Maximum (+) Offset."1,-10,0 Maximum (-) Offset.U
"Active Keys = <SPACE>..<ESCape>...- SORRY!... No plot available to overlay.
Exiting!..U
(X) Offset=
(Y) Offset=
(X)-(Y) Offset=
2D POINT STATISTICSU
Two Dimensional Point: Y = AX+B
1.0'*** TWO DIMENSIONAL POINT FUNCTION ***
Two Dimen. Point: Y-(AX+B) = 0
"Active Keys = <SPACE>..<ESCape>...- SORRY!... No plot available to overlay.
Exiting!..U
X=+/-
1.0$ WARNING!..."B" must not equal "0"& This would lead to division by zero.& ** DIVISION BY ZERO IS UNDEFINED. **
Maxima (+) =
Minima (-) =
Vertical Mean=
Slope=
Length=
LINE STATISTICSU
LINE: AX+BY+C = 0
*** LINE FUNCTION ***
X=+/-
LINE: Y = (AX+C)/-B
"Active Keys = <SPACE>..<ESCape>...- SORRY!... No plot available to overlay.
Exiting!..U
9 D O T Y f v {
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0#090E0O0^0r0w0
- SORRY!... File to BIG, use another editor.3 U
Edit File Type=
MACRO
IMPORT
PUZZLE Undefined
Edit File Name= U
%Checking SYNTAX, one moment please...
BEEP
ESCAPE
ENTER
FORMULA
NULL
OFF-KEY
ON-KEY
PLOT
PRINT
SPACE
UP
DOWN
LEFT
RIGHT
WAIT
MESSAGE
STOP
2D-POINT LINE CIRCLE PARABOLA ELLIPSE SINE COSINE TANGENT PARA#1 PARA#2 COMP#1 COMP#2 % U
F1=Help U
%Select "FROM" line first!..Press key.& U
No line to RESTORE!..Press key. U
SORRY!... Printer NOT ready."
Printing...
Editor listing of
End of listing...
U
0Insure printer ONLINE..Press <SPACE> when ready.1
F1=Help :Use the Editor to Create, Change, and Validate your files!7Select file TYPE <M>acro..<I>mport..<P>uzzle..<ESCape>.: ; 0 SORRY!... Editor cannot use Macros..Aborting!5 8
MenuSee.DTA1Required DATA FILE NOT FOUND..program terminating+Unexpected END OF DATA..program terminatingU
SetSee.Dta%SETUP file NOT FOUND..defaults active
(Invalid SETUP file DATA..defaults active
Insight Advantage 5Copyright (C) 1990, D.Thompson. All rights reserved.
AX+BY+C=0,*** Mathematic Functions in Graphic Form ***U
0 U
*** WARNING ***
CONFIG.SYS File Exists!%XYSee will ALTER the CONFIG.SYS file.
CONFIG.SYS File Does NOT Exist!&XYSee will CREATE the CONFIG.SYS file.'<P>roceed...Install FILES=20 Statement.
<Q>uit......NO Changes!
<H>elp......Whats Going On?U
<P>roceed:%When you select <P>roceed, XYSee will!determine if you currently have a&"FILES=20" statement in a "CONFIG.SYS"&file. If not, XYSee will create/alter#the "CONFIG.SYS" file as necessary.
<Q>uit:'You may prohibit changes to your system'by selecting <Q>uit at the menu prompt.
Press <SPACE> to continue... U
*** NOTICE ***(Files set to '20' in Existing Statement.,Statement ADDED to Existing CONFIG.SYS File.)Statement ADDED to a NEW CONFIG.SYS File.+Please RE-BOOT (Reset) prior to continuing! Press <CTRL+ALT+DEL> or <Reset>.! 3WARNING!..Continue at your own risk..Press <SPACE>.
*** SYSTEM CONFIGURATION ***
\CONFIG.SYS$ !Select <P>roceed..<Q>uit..<H>elp."
FILES=20
*** NO CHANGES MADE ***U
" SORRY!... Printer NOT ready.#
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*** XYSee REGISTRATION ***'This Software is an Endangered Species!&Today's students will need more than a-"Trap for Zoids" or a "Blaster for Math" when0confronting the science and engineering sections
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*** XYSee PROCEDURES ***JSYSTEM: ARROW Keys are used to move back and forth within and between menu?selections. Indicate your choice by pressing the <RETURN> key.BHELP: Context sensitive HELP is available within each menu level=and function plot section. In addition, parameter-value HELP@within each Puzzle module may be used to "Zero-in" on solutions.JMACRO: During MACRO execution; Press <SPACE> to Pause..<ESCape> to Abort.@Use the Editor to Create, Change, and VALIDATE your MACRO files.DSTART: Select START to begin each new Puzzle. The currently active3Puzzle may be saved on disk for later reactivation.CSETUP: The system environment may be changed. If you must operate?your computer in a "quiet" environment, or the color setting is?unappealing, etc., select "SETUP" at the bottom of this screen.
Number Lock is ON$Please press your Number Lock key...
Number Lock is OFF%Thank you...
SETUP?...(Y/N) -Update system defaults for SOUND, COLOR, etc.
1SETUP CONVERSION failed...color default is active
Default
Special Drive 'A'
A:\ Drive 'B'
B:\ Drive 'C'
V<Cu1
*** XYSee SETUP ***
...
Files=20 XYSee 2.5
Press <ESCape> to Exit.
$...
U
B3@;F
Exiting XYSee...4XYSee Mathematic Functions in Graphic Form; Ver. 2.5 Copyright (C) 1990, D. Thompson.
All rights reserved.,* * * Make an Investment in the Future * * *%* * * Give a Copy to a Teacher! * * *
nsight
dvantageU
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*** LINEAR DESIGN ***
*** QUADRATIC DESIGN ***
*** TRIGONOMETRIC DESIGN *** *** PERIODIC FUNCTION DESIGN ***
Delta
Frequency #1=F1
Frequency #2=2*F1
Reference CircleU
*** GEOMETRIC PUZZLE ***
*** QUADRATIC PUZZLE ***
*** TRIGONOMETRIC PUZZLE ***
*** ADVANCED PUZZLE ***
Circle:
Line:
Ellipse: 2D-Point:
Sine:
Tangent:
Para #1:U
*** Menu HELP Window ***
MENU HELP $The MENU structure is multi-leveled:
Begin/End
MAIN MENU
MACRO Geom Menu
Other Options
1D Point
Other Menus
2D Point
Other Functions
Plot Options
Triangle
Main Menu
GEOM MENU
Plot Options Menu
Cursor Etc.
Main Menu
QUAD MENU
Quad Eq.
Circle
Ellipse
Parabola Hyperbola
Conic
Main Menu
TRIG MENU
Cosine
Tangent
Cosecant
Secant Cotangent
Main Menu
ADV. MENU
Parametric #1
Parametric #2
Composite #1
Composite #2
Spline
Main Menu
PUZZLE MENU
START
Geom Menu
REPORT
2D Point
Other Menus
Other Functions
Puzzle Menu
GEOM MENU
Cursor Zoom Etc.
Puzzle Menu
QUAD MENU
Ellipse
Puzzle Menu
TRIG MENU
Cosine
Tangent
Puzzle Menu
ADV. MENU!Parametric #1
Parametric #2!SELECT next level
<ARROW> keys. ENTER next level
<RETURN> key.&EXIT to previous level
<ESCape> key.7Sequencing ERROR..MACRO Terminating...Menu HELP module.
Press <SPACE> to continue... U
P
EDITOR Help!U
- <SPACE> ,USE: This Language-Sensitive Text EDITOR is+used to Create, Change, and Validate MACRO,&Import, and Puzzle files. If a syntax$error is discovered during post-edit&validation, the editor will return you)to the precise line containing the error!*FORM: The graphic on the right illustrates&the editors straightforward structure.)HELP: Multi-Level HELP is available while(using the editor. HELP screens progress#from listings of Edit-Key functions!and system Syntax requirements to%actual Application-Specific commands.
Start
Get File
Edit File
Check Syntax
Save File
Continue Edit
Edit New File
End
:Context sensitive HELP is available throughout the Editor.; U
Puzzle:((Line 1) <Function type><Space>{Comment}-(Line 2) <Parameter value #1><Space>{Comment}-(Line n) <Parameter value #n><Space>{Comment}CNotation convention: <Required>, {Optional}, "Literal", (Note only)U
H <SPACE>
AUTOMATIC COMMANDS!BEEP ..............Attention Bell!ENTER .ENTER/RETURN key emulation!ESCAPE ......ESCape key emulation!FORMULA ........Alternate formula!MESSAGE ........Display a message!NULL ..........Non-executing line!OFF-KEY, ON-KEY ..Lock/Unlock Kbd!PLOT .........Alternate plot font!PRINT ...........Activate printer!SPACE ........Space-Bar emulation!STOP .............Terminate MACRO!UP, DOWN .....Arrow key emulation!LEFT, RIGHT ..Arrow key emulation!WAIT ........Pause till SPACE key
MANUAL COMMANDS
ESCape key .........Abort MACRO
SPACE key .Pause till SPACE key
SPECIAL COMMANDS
0-9 .Step DELAY Multiplier
# ...NUMERIC Value follows
PUZZLE FUNCTIONS
2D-Point Line
Circle Parabola
Ellipse Sine
Cosine Tangent
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Comp#1 Comp#2U
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*** REFERENCE PLOT ***
Check Scale!
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Check Scale!
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2D-POINT LINE CIRCLE PARABOLA ELLIPSE SINE COSINE TANGENT PARA#1 PARA#2 COMP#1 COMP#2 U
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+READING Data File! . . . One moment please.
2D-POINT LINE CIRCLE PARABOLA ELLIPSE SINE COSINE TANGENT PARA#1 PARA#2 COMP#1 COMP#2 WARNING! . . . Invalid FUNCTION..Incorrect_SEQUENCE! . . . Select another file.'File EMPTY! . . . Select another file.U
Puzzle File PreparationBThe first step in preparing a Puzzle File is to select a ToleranceCvalue. The Tolerance value determines how close a solution attemptBmust come to a reference function before it is considered a match.DA selected tolerance value remains active until a solution is found..Selection 0 = 0.0 Tolerance. 5 = 0.5$1 = 0.1 6 = 0.6$2 = 0.2 7 = 0.7$3 = 0.3 8 = 0.8$4 = 0.4 9 = 0.9
<ESCape> = Cancel
TOLERANCE Selection = 1
Select a TOLERANCE value.
0Sequencing ERROR..MACRO Terminating...Kbd Start.
D Puzzle function selection and variable definition G is the next step. You may select and define as many G reference functions as you desire. Press <ENTER> at the G function prompt when you are ready to plot your values. 81 = 2D Point 5 = Parabola 9 = Para#182 = Line 6 = Sine A = Para#283 = Circle 7 = Cosine B = Comp#184 = Ellipse 8 = Tangent C = Comp#22 (<ENTER> = Finished <ESCape> = Cancel
(.txt)