Euclidea vs GraphMath

Euclidea: Sketches is an interactive geometry app intended for creating and exploring geometrical constructions. It is a great companion for the classic Euclidea Puzzles app. You start with an empty board and create your sketch with just a few taps. > Use smart and powerful tools > Choose shapes from a template library > Explore your constructions: they can be changed dynamically > Customize your drawing > Label points > Organize you own drawing collection > Export to photo album ***For Euclidea Puzzles users*** The app is much more than a sandbox for Euclidea. The tools were revised and significantly improved. Since you do not need to count moves anymore, the same constructions can be reproduced faster. ***How to use*** There are 4 modes: Constructing, Decorating, Coloring, and Labeling. The Move and Eraser tools are available in any mode. Other tools are: Point, Segment, Ray, Straight Line, Circle, Polygon Templates (Regular Polygon, Equilateral Triangle, Isosceles Triangle, Right Triangle, Square, Rhombus, Rectangle, Parallelogram, Trapezoid, Isosceles Trapezoid, Right Trapezoid), Midpoint, Perpendicular Bisector, Angle Bisector, Perpendicular, Parallel, Copy Segment, Copy Angle, Circle by 3 Points, Triangle Center Collection (Incenter, Centroid, Circumcenter, Orthocenter), Tangent, Intersection. Hints: Constructing - Drag a circle or other object directly to the desired point until it snaps. - The Segment tool can be used to extend segments. - It is easier to use the Perpendicular tool selecting a line first. Hints: Decorating - Decorations are used to mark a perpendicular, equal angles or segments. - You cannot create a wrong decoration. For example it is impossible to mark segments as equal if their length is actually different. Hints: Coloring - Choose color and style, then tap a point, a circle, or a segment. - You can create segments and points in the Coloring mode. - You can deselect color to change a style only. - The default color is the rightmost in the palette. Hints: Labeling - To hide/restore a label, choose "-" in the letter wheel and then tap a point on the drawing. Hints: Move tool - The whole drawing can be rotated using two fingers when the Move tool is active. - Tap a line or a circle to see their base points that can be dragged. Let's make geometry fun again!

This graphing calculator is user friendly and powerful.  It is fully compatible with iOS 14 and 15, and mostly compatible with iOS 13 and Mac OS. Cartesian 3D Z = F (X, Y) functions:  ——————————————————— Graphs can be:  1. Drawn as surface, lines, or dots. 2. Drawn with or without perspective, and with different light and reflection settings. 3. Tilted up or down. 4. Rotated to any position. 5. Drawing is animated by either X, Y, or Z. Table of all points can be sorted by either X or Y. Cylindrical 3D Z = F (Θ, R) functions:  ——————————————————— Graphs can be:  1. Drawn as surface, lines, or dots. 2. Drawn with or without perspective, and with different light and reflection settings. 3. Tilted up or down. 4. Rotated to any position. 5. Drawing is animated by Θ, R, or Z. Table of all points can be sorted by either Θ or R. Spherical 3D R = F (Θ, Φ) functions:  ——————————————————— Graphs can be:  1. Drawn as surface, lines, or dots. 2. Drawn with or without perspective, and with different light and reflection settings. 3. Tilted up or down. 4. Rotated to any position. 5. Drawing is animated by either Θ or Φ. Table of all points can be sorted by Θ, Φ, or R. Cartesian 2D Y = F (X) functions:  ———————————————— Graph displays the following curves: 1. One or two Y = F (X) functions. 2. Derivative of the first function. 3. Integral of the first function as a shade and a curve.  Graph features:  1. Drawing is animated by X. 2. Clicking on the curves shows curve values, and finds closest point in the table. Tables: 1.  All function, integral, and derivative values. 2.  Zero intersections of first function. 3.  Intersections between first and second functions. Polar 2D R = F (Θ) functions: ———————————————  Graph displays the following curves: 1. One or two R = F (Θ) functions. 2. Integral of the first function as a shade and a curve. Graph features:  1. Drawing is animated by Θ.  2. Clicking on the curves shows curve values, and finds closest point in the table. Tables: 1.  Table of all function and integral values  2.  Table of zero intersections of first function. 3.  Table of intersections between first and second functions. Parametric 2D X = F1 (T), Y = F2 (T) functions: —————————————————————————  Graph features:  1. Drawing is animated by T.  2. Clicking on the curves shows T, X, and Y values, and finds them in the table. Table of all points. F (X, Y) = 0  equations: ———————————— Graph displays solutions as points. Clicking on the points shows X, and Y values, and finds them in the table. Table of all points. Common features: —————————— 1. List of previous entries. 2. List of preset entries. 3. Undo and redo buttons for formula entries. 4. Automatic correction of errors in function limits or steps are offered. 5. All function points can be saved to clipboard in a table format. 6. All function points can be displayed on corresponding graphs. 7. Control colors can be changed to black and white. 8. Link to Vectors and Planes 3D Geometry Guide App. 9. Link to Matrix Calculator Step by Step App. Common features of all images:  1. Animation frames can be frozen and moved back or forward. 2. Animation speed can be adjusted. 3. Zoom. 4. Scroll. 5. Save to Clipboard. 6. Save to Photos 7. Color picker. New functions and further UI improvements for our apps are coming! Developers hope to get feedback at graphmath@aol.com.