1 12 ** Welcome to XYSee ** ====================== [Start]: This is the entry point for plotting your functions. to view the Family Menu selections. Note: Select the Tutorial Icon for a demonstration of XYSee's many exciting features. 2 10 [Puzzle]: This is the entry for solving your puzzles. Puzzles are combinations of inter- woven functions. The challenge is to select variables and values to match those of displayed "pieces". to view a directory of available puzzles. 3 12 [Macro]: Macros are disk files containing commands which emulate manual keyboard sequences. Macros can replace small, fre- quently used routines or automate large and complex presentations such as the "Tutorial". Use the XYSee "smart" editor to create and change your macros. to view a directory of available macros. 4 12 [Edit]: Create, change, and validate your XYSee macro and puzzle files with this easy to use application-sensitive editor. Additional Help is available on macro/puzzle commands and syntax (format) requirements, as well as on using the editor's keys. to view the Edit Menu selections. 5 6 [Setup]: Configure XYSee to your individual requirements for color, sound, and data file location, etc. to view the Setup Menu selections. 6 9 [Exit]: You may terminate XYSee's current session from here. to leave the program and return to the DOS prompt. Note: As you exit, you may save the current program configuration for use 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 10 [Update]: Plot displays are defined by values assigned to variables. The assigned values affect the form, position, and orientation of the displayed function. You may investigate the effects of these changes with this option. to change variables. 9 8 [Cursor]: Use the cursor as a visual indicator for identifying points of interest on the display. The position of the cursor can be changed by pressing an arrow key, or by sliding the mouse. to activate the cursor. 10 11 [Program Help]: General information is available on subjects, such as starting XYSee, solving puzzles, plotting, and using the editor. to obtain information on using the indicated XYSee feature. Note: The "Tutorial" also provides context-specific, as well as general program help. 11 11 [Report]: Each function is asso- ciated with various statistics. XYSee attempts to calculate as many of these as possible. In some cases, terminology has been selected to introduce common eng- ineering usage (amplitude-offset- frequency, etc.). to view statistics for the current function. 12 8 [Model]: Formulas can be expressed in various levels of complexity. For example, Y=X can be expanded to Y=AX, or even Y=(AX)+B to match individual requirements. to view the Model Menu selections. 13 10 [Print]: The current plot display can be copied to your graphics printer. Common EPSON(tm), IBM(tm), and HP(tm) compatible formats are supported. If your printout app- ears chopped or distorted, try a different printer selection. to view the Print Menu selections. 14 11 [Pause]: Your selected puzzle is NOW ACTIVE. Your next step is to study the display and pick out all the different functions (pieces) to be solved. You might want to list the pieces on a sheet of paper and cross (X) them off as you progress. to view Function Menu (puzzle piece) selections. 15 10 [Color Sets]: These predefined screen designs and color sets are mainly for use with color monitors. The monochrome selection is best suited to gray-scale monitors and laptop computers which require en- hanced contrast displays. to confirm the current color set selection. 16 7 [Save]: Transfers the current status of the active puzzle to a disk file named "XYSAVED". to save the current puzzle or to confirm over- writing a previously saved one. 17 6 [Report]: to view a puzzle complexity and solution status report. Note: You may print a date-stamped copy of the report. 18 11 [Zoom]: It is possible within the numerical limits of XYSee to plot functions partially, or even entirely outside the range of the display. In attempting to identify these "hidden" functions, you may need to change the display scale. to view the Zoom Menu selections. 19 8 [Outlier]: This feature highlights out-of-tolerance values which can cause a solution attempt to fail. The "Outlier" is used to "lock-in" correct values while attempting to "zero-in" on incorrect ones. to identify the outliers. 20 10 [Data Drive]: XYSee normally expects to find macro, puzzle, and program files in the same location. You may separate your macro and puzzle data files from the program files by selecting this alternate location. to confirm the current location for your data files. 21 12 [Tutorial]: XYSee's many exciting features are highlighted in this continuously looping macro routine. Take a few moments to become fam- iliar with the power & versatility you may apply to your educational endeavors. to start the tutorial. During execution, to stop the tutorial. 22 12 [Save]: XYSee can combine the contents of two or more plot dis- plays for on-screen comparison. to save the contents of the currently active display. Note: The plot scale in effect when an overlay is saved is re- established upon restoration, and any currently active display will be automatically rescaled. 23 9 [Overlay]: to overlay the current display with the contents of a previously saved plot. Note: The plot scale that was in effect when the overlay was saved will be reestablished. The current active display will be rescaled to the new value automatically. 24 9 [Sound ON/OFF]: Context-sensitive audio enhancement for dialog boxes and puzzle solution rewards, etc. to toggle sound ON or OFF to suit your current environment. Note: All Setup Menu selections can be saved upon exiting XYSee. 25 10 [Set Colors]: Several predefined screen designs and color sets are available including monochrome. The enhanced contrast of mono- chrome may suit gray-scale moni- tors (laptops, page-whites, etc.) and screen capture needs best. to view the Color Menu selections. 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 macro and puzzle files from XYSee's program files, you must specify their new location here. to view the Drive Menu selections. 27 10 [Icon Titles]: Icon figures may be displayed with or without titles that help indicate their function. Select "ICON+TITLE" until you are thoroughly familiar with the many features of the program. to toggle Icon Titles ON or OFF. 28 10 [Model]: Formulas can be expressed in various levels of complexity. For example, Y=X can be expanded to Y=AX, or even Y=(AX)+B to match individual requirements. You may adjust the current formula complexity by selecting this model. to confirm the current model selection. 13 10 [Print]: The current plot display may be copied to your graphics printer. Common EPSON(tm), IBM(tm), and HP(tm) compatible formats are supported. If your printout app- ears chopped or distorted, try a different printer selection. to view the Print Menu selections. 29 11 [Reset Setup]: XYSee saves current formula models and configuration changes in an initialization file for use during future sessions. to restore the standard 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 cell. 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 cell. Note: Numerical limits for all formula variables are +/- 99. 32 9 [ File ] [ Directory Options ] [Filename]: to select the indicated file. [--No File--]: This directory pos- ition is available for an addition- al file. 33 12 [ File ] [ Directory Options ] [Filename]: to select the indicated file. [--No File--]: This directory pos- ition is available for an addition- al file. [-Other Files-]: to dis- play additional files. 34 9 [Edit Macro]: Change and validate existing macro files. Additional Help is available on macro commands and syntax format requirements, as well as on using the editor's keys. to view a directory of available macros. 35 9 [Edit Puzzle]: Change and validate existing puzzle files. Additional Help is available on puzzle commands and syntax format requirements, as well as on using the editor's keys. to view a directory of available puzzles. 36 9 [New Macro]: Create, change and validate new macro files. Additional Help is available on macro commands and syntax format requirements, as well as on using the editor's keys. to open a filename entry dialog box. 37 9 [New Puzzle]: Create, change and validate new puzzle files. Additional Help is available on puzzle commands and syntax format requirements, as well as on using the editor's keys. to open a filename entry dialog box. 38 12 [XYSee Program Help]: In addition to this context-specific help, you may obtain general information on subjects, such as solving puzzles, plotting, and using the editor. to obtain information on using XYSee's powerful features. Note: The "Tutorial" also provides context-specific, as well as general program help. 39 9 [Accept When Ready]: XYSee is ready to print... Please ensure your printer is on- line and has paper installed, etc. to begin printing. Note: A graphic printout typically takes a minute or so to complete. 40 10 [Print]: XYSee's plot displays can be copied to your graphics printer. Common EPSON(tm), IBM(tm), and HP(tm) compatible formats are supported. If your printout app- ears chopped or distorted, try a different printer selection. to confirm the current printer selection. 41 11 [Var. Value Entry]: These values are used to develop the current display. to complete entry or to confirm the current default value and return to the menu. to restore the current default value or to abandon your changes and return to the menu. 42 11 [Enter Filename]: An XYSee file- name consists of from one to eight letters. Special characters, file name extensions, and numbers may not be used. to confirm the default filename or your new filename. to restore the default filename or to end this procedure. 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 the file. to enter a new filename. 44 6 [View Sketch]: A repeating sequence of mathematically derived displays. to view another sketch. to return to the menu. 45 10 [Default Settings]: XYSee's default settings are: Sound = On Color Set = 1 {Elegant} Data Drive = X {Current} Icons = With Titles to restore defaults. for current settings. 46 12 [Save Custom Settings]: Sound, color set, data drive, icon, 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 canceled 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 current puzzle. to continue solving the current puzzle. 48 8 [Zoom]: If your puzzle functions are partially, or even entirely hidden outside the range of the current display, you may have to select a new zoom scale. to confirm the current zoom selection. 49 9 [Geometric Menu]: Selections... Point#1: Coordinate X=(A+B)C Point#2: Ordered pair P(X,Y) Line#1: Slope-Intercept Y=MX+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=MX+B Slope: M X-Intercept: -B/M Y-Intercept: B Segment Length: Sqrt((X2-X1)^+(Y2-Y1)^) Example Values: X M 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 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 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 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 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 {-----------------------------------} 123456789012345678901234567890123