1 12 ** Welcome to XYSee ** ====================== [Select Plot]: This is the entry point for plotting functions. to view Family Menu selections. Note: Select the Run Macro option for a demonstration of XYSee's many exciting features. 2 11 [Puzzle Menu]: Puzzles are combinations of functions interwoven on a common display. The challenge is to select pieces (functions) with dimensions (variable values) matching the display within a user defined tolerance. to view Puzzle Menu selections. 3 12 [Run Macro]: Macros are disk files containing commands which emulate manual keyboard se- quences. Macros can replace small, frequently used routines or automate large and complex presentations ("Tutorial"). Use the XYSee editor to create your macros ("Edit Files"). to view Macro Menu Selections. 4 10 [Edit Files]: Create, change, and validate your XYSee macro and puzzle files with this application-sensitive editor. Application command, edit-key assignment, and file syntax (format) help is available. to view Edit Menu selections. 5 11 [Setup XYSee]: Configure XYSee to your individual requirements with respect to color, sound, and data file location, etc. to view Setup Menu selections. Note: Please refer to the "Registration" selection for XYSee ordering information. 6 9 [Exit XYSee]: You may terminate the current session from here. to return to the Dos prompt. Note: You may save program changes for use as defaults in a future session. 7 8 [Sketch Pad]: Mathematics is not only useful, it can also be beautiful! Each sketch is based upon a particular family of functions. to view the different sketches. 8 11 [Update Values]: Plot displays are defined by values assigned to formula variables. The assigned values typically affect the form, position, and orientation of the displayed function. You may investigate the effect of variable changes with this option. to change variables. 9 7 [Cursor]: Use this visual indicator to identify points of interest on the display. You may reposition the cursor with the arrow keys or mouse. to activate the cursor. 10 9 [Overlay Plot]: XYSee can combine two or more plots for comparison. Multiple plots of a single function and/or indi- vidual plots of different func- tions may be combined at will. to view Overlay menu selections. 11 11 [Statistics]: Each function has associated with it various sta- tistics. XYSee attempts to calculate as many of these as possible. In some cases, ter- minology has been selected to introduce common engineering usage (amplitude, frequency, offset, etc.). to view statistics. 12 9 [Select Model]: Formulas may be expressed in various levels of complexity. For example, Y=X can be expanded to Y=AX, or even Y=(AX)+B to support individual requirements. to open a formula model entry box. 13 11 [Print Plot]: The current plot display may be copied to a graphics printer. Popular EPSON(tm) and IBM(tm) compat- ible graphics modes are suppor- ted. If your printout appears chopped or distorted, try selecting a different mode. to open a print mode entry box. 14 9 [Select Puzzle]: This is the point of puzzle activation. to view a directory of available puzzles. to abort an active puzzle (if confirmed) and return to the Main Menu. 15 6 [Solve Puzzle]: This is the entry point to solve an active puzzle ("Select Puzzle"). After activation, to view Family Menu selections. 16 7 [Save Puzzle]: Saves remaining pieces of the current puzzle to a disk file - "XYSAVED". to save the current puzzle or confirm overwriting a previously saved one. 17 6 [Puzzle Report]: to view a complexity and solution status report for your puzzle. Note: You may print a copy of the report if desired. 18 12 [Zoom Scale]: It is possible within the numerical limits of XYSee to plot functions par- tially, or even entirely out- side the range of the display. In attempting to identify these "hidden" functions, you may need to change the display scale. to open a zoom scale entry box. 19 9 [Show Outlier]: This feature highlights out-of-tolerance values which can cause a so- lution attempt to fail. "Show Outlier" is used to "lock-in" correct values while attempting to "zero-in" on incorrect ones. to highlight outliers. 20 12 [Select Macro]: Macros are disk files containing commands which emulate manual keyboard se- quences. Macros can replace small, frequently used routines or automate large and complex presentations ("Tutorial"). Use the XYSee editor to create your macros ("Edit Files"). to view a directory of available macros. 21 12 [Tutorial]: XYSee's exciting features are highlighted in this continuously looping macro routine. Take a few moments to become familiar with the power and versatility you may apply in your educational endeavors. to start tutorial. During execution, to stop the tutorial. 22 12 [Store]: XYSee can combine two or more plots for comparison. to store the currently active display. Note: The plot scale in effect when an overlay is saved is re- established when the overlay is restored. Any currently active display will automatically be rescaled to the new value. 23 10 [Restore]: to overlay the current display with a previously stored plot. Note: The plot scale that was in effect when the overlay was saved will be reestablished. Any currently active display will automatically be rescaled to the new value. 24 5 [Sound ON/OFF]: Context- sensitive audio enhancement. to toggle sound on or off to suit your environment. 25 10 [Set Color]: Four predefined sets of colors are available as well as monochrome. The enhanced contrast of monochrome may suit gray-scale monitors (laptops, page-whites, etc.) and screen capture needs best. to open a color set entry box. 26 10 [Files in]: XYSee normally expects to find macro, puzzle, and program files in the same default ("X:") location. If you wish to separate your data files, you must specify their new location with this option. to open a data drive entry box. 27 11 [Configure Dos]: Sets up your operating system to support special requirements of XYSee. to check for a system "CONFIG.SYS" file containing a FILES=20 statement. Note: After confirmation, XYSee will create or alter the file as necessary. 28 11 [Registration]: XYSee 3.0 ** This is not free software ** Your understanding and support are critical to the continued viability and availability of this unique educational tool. for XYSee license and registration information. 29 12 [Reset Setup]: XYSee saves configuration changes and cur- rent formula models in an init- ialization file for use during future sessions. to restore the stan- dard program configuration. Note: Be sure you save the new (standard) configuration as you exit XYSee. 30 12 [Variable Values]: Update your plot values at this point. to open a plot value entry box. to automatically plot your new values and return to the Options Menu. Note: Numerical limits for all formula variables are +/- 99. 31 8 [Variable Values]: Update your formula variables at this point. to open a plot value entry box. Note: Numerical limits for all formula variables are +/- 99. 32 9 [ File ] [ Directory Options ] [Filename]: to select the displayed file. [--No File--]: This directory position is available for an additional file. 33 12 [ File ] [ Directory Options ] [Filename]: to select the displayed file. [--No File--]: This directory position is available for an additional file. [-Other Files-]: to display additional files. 34 10 [Edit Macro]: Change and re- validate existing macro files. Extensive application command, edit-key assignment, and file syntax (format) help is avail- able within the application- sensitive editor. to view a directory of available macros. 35 10 [Edit Puzzle]: Change and re- validate existing puzzle files. Extensive application command, edit-key assignment, and file syntax (format) help is avail- able within the application- sensitive editor. to view a directory of available puzzles. 36 10 [New Macro]: Create, change and validate new macro files. Ex- tensive application command, edit-key assignment, and file syntax (format) help is avail- able within the application- sensitive editor. to open a filename entry box. 37 10 [New Puzzle]: Create, change and validate new puzzle files. Extensive application command, edit-key assignment, and file syntax (format) help is avail- able within the application- sensitive editor. to open a filename entry box. 38 12 [Configure Dos]: Sets up your operating system to support special requirements of XYSee. to install a FILES=20 statement in your "CONFIG.SYS". to prohibit changes to your operating system. Note: You should re-boot your system after configuring Dos. 39 11 [Accept When Ready]: XYSee is ready to print... Please ensure your printer is online and ready with paper installed. to begin printing. Note: Graphics printouts ty- pically take several minutes to complete. 40 10 [General Data Entry]: Single character update module. To complete update. To confirm default entry and return to menu. To abandon changes and return to menu. 41 11 [Var. Value Entry]: Update values used to define the current display. to complete entry or to confirm default value and return to menu. to restore default value or to abandon changes and return to menu. 42 11 [Enter Filename]: An XYSee file- name consists of from one to eight letters. Numbers, special characters, and file extensions may not be used. to activate the new or default filename. to restore the default filename or return to menu. 43 10 [Overwrite Duplicate File]: XYSee has found an existing file with the same name as your new file. You may wish to view the contents of the existing file before continuing. to overwrite file. to enter new filename. 44 5 [View Sketch]: A repeating sequence of mathematically de- rived displays. to view another sketch. 45 10 [Default Settings]: XYSee's default settings are: Sound = On Color Set = 1 {Blue/Magenta} Data Drive = X {Default} to restore defaults. for current settings. 46 12 [Save Custom Settings]: Sound, color set, data drive, and/or formula model changes have occurred. If the changes are not saved now, the settings will revert to previous defaults. to save the new changes as session defaults. to retain the previous session defaults. 47 12 [Terminate Active Puzzle]: Active puzzles are automatically terminated upon leaving the puzzle module. If you would like to continue with this puzzle at another time, select the "Save Puzzle" option. to terminate the cur- rent puzzle. to prohibit termination. 48 8 [Configure Dos]: Update Complete! Due to the way Dos is designed, CONFIG.SYS changes are not effective until after you re- boot your computer system. to return to the Setup Menu. 49 9 [Geometric Menu]: Selections... Point#1: Coordinate X=(A+B)C Point#2: Ordered pair P(X,Y) Line#1: Slope-Intercept Y=AX+B Line#2: Linear Eq. AX+BY+C=0 50 8 [Point#1]: Coordinate. Form: X=(A+B)C Offset [horiz]: (A+B)C Example Values: A B C 6.0 -2.0 0.5 51 11 [Point#2]: Ordered pair. Form: P(X,Y) Offset [horiz]: X Offset [vert]: Y Origin Distance: Sqrt(X^+Y^) Example Values: X Y 7.0 -7.0 52 12 [Line#1]: Slope-Intercept. Form: Y=AX+B Slope: A X-Intercept: -B/A Y-Intercept: B Segment Length: Sqrt((X2-X1)^+(Y2-Y1)^) Example Values: X A B 8.0 0.4 -1.6 53 12 [Line#2]: Linear Equation. Form: AX+BY+C=0 Slope: -A/B X-Intercept: -C/A Y-Intercept: -C/B Segment Length: Sqrt((X2-X1)^+(Y2-Y1)^) Example Values: X A B C 5.0 0.0 1.0 -5.0 54 12 [Parametric1] Form: Xcos(T)+Ysin(T)-P=0 Slope: (Y2-Y1)/(X2-X1) X-Intercept: P/cos(T) Y-Intercept: P/sin(T) Segment Length: Sqrt((X2-X1)^+(Y2-Y1)^) Example Values: X T P 5.0 2.0 -2.0 55 8 [Geometric Menu]: Selections... Point: Ordered pairs P(X,Y) Line: Linear Eq. AX+BY+C=0 to view Geometric Menu selections. 56 7 [Point]: Ordered pairs. Form: P(X,Y) Example Values: X Y 7.0 -7.0 57 7 [Line]: Linear Equation. Form: AX+BY+C=0 Example Values: X A B C 5.0 0.0 1.0 -5.0 58 11 [Conic Sect. Menu]: Selections.. Quadratic Eq.: AX^+BX+C=0 Circle: (X-H)^+(Y-K)^=R^ Ellipse: (X-H)^/A^+(Y-K)^/B^=1 Parabola: (Y-K)=A(X-H)^ Hyperbola: (X-H)^/A^-(Y-K)^/B^=1 59 10 [Quadratic Eq.] Form: AX^+BX+C=0 Greater root. Lesser root. Root separation. Example Values: A B C -4.0 0.0 20.0 60 12 [Circle] Form: (X-H)^+(Y-K)^=R^ Radius: R Diameter: 2R Circumference: 2Pi R Area: Pi R^ (X) & (Y) Offsets. Example Values: R H K 5.0 5.0 -5.0 61 12 [Ellipse] Form: (X-H)^/A^+(Y-K)^/B^=1 Major axis. Minor axis. Aspect ratio. Foci Separation. Offsets [horiz-vert]. Example Values: A B H K 7.0 3.5 0.0 5.0 62 11 [Parabola] Form: (Y-K)=A(X-H)^ Directrix: K-(A/4) {C} (X) Focus: H (Y) Focus: K+(A/4) {C} Vertex: (H, K) Example Values: X A H K 8.0 1.0 2.0 -30 63 11 [Hyperbola] Form: (X-H)^/A^-(Y-K)^/B^=1 Center: (H, K) (X) Foci: H+Sqrt(A^+B^) (X) Foci: H-Sqrt(A^+B^) (Y) Foci: K Excentricity: Sqrt(A^+B^)/A Example Values: Y A B H K 4.0 1.0 2.0 3.0 -4.0 64 8 [Conic Sect. Menu]: Selections... Circle: (X-H)^+(Y-K)^=R^ Parabola: (Y-K)=A(X-H)^ to view Conic Sect. Menu selections. 65 7 [Circle] Form: (X-H)^+(Y-K)^=R^ Example Values: R H K 5.0 5.0 -5.0 66 7 [Parabola] Form: (Y-K)=A(X-H)^ Example Values: A H K 1.0 2. 0 -30 67 12 [Trig. Menu]: Selections... Sine: Asin(BX+C)+D Cosine: Acos(BX+C)+D Tangent: Atan(BX+C)+D Cosecant: Acsc(BX+C)+D Secant: Asec(BX+C)+D Cotangent: Acot(BX+C)+D 68 12 [Sine] Form: Y=Asin(BX+C)+D Amplitude [peak]: A+D Offset [vert]: D Period [rad]: 2Pi/B Phase Shift[rad]: -C/B Frequency [cyc/sec]: B Period [sec/cyc]: 1/B Phase Shift[deg]: -180C/BPi Example Values: X A B C D 7.0 3.0 1.0 1.0 -3.0 69 12 [Cosine] Form: Y=Acos(BX+C)+D Amplitude [peak]: A+D Offset [vert]: D Period [rad]: 2Pi/B Phase Shift[rad]: -C/B Frequency [cyc/sec]: B Period [sec/cyc]: 1/B Phase Shift[deg]: -180C/BPi Example Values: X A B C D 7.0 3.0 1.0 1.0 -3.0 70 12 [Tangent] Form: Y=Atan(BX+C)+D Gain [vert]: A+D Offset [vert]: D Period [rad]: Pi/B Phase Shift[rad]: -C/B Frequency [cyc/sec]: B Period [sec/cyc]: 1/B Phase Shift[deg]: -180C/BPi Example Values: X A B C D 6.3 5.0 0.5 -1.0 -15 71 12 [Cosecant] Form: Y=Acsc(BX+C)+D Gain [vert]: A+D Offset [vert]: D Period [rad]: Pi/B Phase Shift[rad]: -C/B Frequency [cyc/sec]: B Period [sec/cyc]: 1/B Phase Shift[deg]: -180C/BPi Example Values: X A B C D 6.3 5.0 0.5 -3.1 10 72 12 [Secant] Form: Y=Asec(BX+C)+D Gain [vert]: A+D Offset [vert]: D Period [rad]: Pi/B Phase Shift[rad]: -C/B Frequency [cyc/sec]: B Period [sec/cyc]: 1/B Phase Shift[deg]: -180C/BPi Example Values: X A B C D 6.3 5.0 0.5 -3.1 10 73 12 [Cotangent] Form: Y=Acot(BX+C)+D Gain [vert]: A+D Offset [vert]: D Period [rad]: Pi/B Phase Shift[rad]: -C/B Frequency [cyc/sec]: B Period [sec/cyc]: 1/B Phase Shift[deg]: -180C/BPi Example Values: X A B C D 6.3 5.0 0.5 -3.1 10 74 8 [Trig. Menu]: Selections... Sine: Asin(BX+C) Tangent: Atan(BX+C) to view Trig. Menu selections. 75 6 [Sine] Form: Y=Asin(BX+C) Example Values: A B C 3.0 1.0 1.0 76 6 [Tangent] Form: Y=Atan(BX+C) Example Values: A B C 5.0 0.5 -1.0 77 12 [Advanced Menu]: Selections... Para#1: Xcos(T)+Ysin(T)-P=0 Para#2: Y=Asin(B Pi T) & X=Ccos(D Pi T) Para#3: Y=Asin((T+Pi)/B) & X=Csin(DT) Comp#1: Y=AX/B & Y=-Ccos(DX) Comp#2: Y=Acos(BX) & Y=Csin(DX) 78 12 [Parametric2] Form: Y=Asin(BPiT) & X=Ccos(DPiT) Amplitude [peak]: A Period [rad]: 1/B Frequency [cyc/sec]: PiB Amplitude [peak]: C Period [rad]: 1/D Frequency [cyc/sec]: PiD Example Values: A C B D 8.0 8.0 2.0 4.0 79 12 [Parametric3] Form: Y=Asin(TPi/B) & X=Csin(DT) Amplitude [peak]: A Period [rad]: B Frequency [cyc/sec]: Pi/B Amplitude [peak]: C Period [rad]: Pi/D Frequency [cyc/sec]: D Example Values: A C B D 9.0 3.0 3.0 1.0 80 12 [Composite1] Form: Y= AX/B & Y=-Ccos(DX) Slope: A/B Amplitude [peak]: C Period [rad]: Pi/D Frequency [cyc/sec]: D Example Values: A C B D -1.0 3.0 1.0 1.0 81 12 [Composite2] Form: Y=Acos(BX) & Y=Csin(DX) Amplitude [peak]: A Period [rad]: Pi/B Frequency [cyc/sec]: B Amplitude [peak]: C Period [rad]: Pi/D Frequency [cyc/sec]: D Example Values: A C B D 5.0 4.0 3.0 1.0 82 9 [Advanced Menu]: Selections... Parametric: Y=Asin(B Pi T) & X=Ccos(D Pi T) Composite: Y=AX/B & Y=-Ccos(DX) to view Advanced Menu selections. 83 7 [Parametric] Form: Y=Asin(BPiT) & X=Ccos(DPiT) Example Values: A C B D 8.0 8.0 2.0 4.0 84 7 [Composite] Form: Y= AX/B & Y=-Ccos(DX) Example Values: A C B D -1.0 3.0 1.0 1.0 999 4 This is help index 999 [. boundaries of the display .] [12345678901234567890123456789] This is the last record {-----------------------------------}