Editor. Internet. Licence

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1 Documentation

2 Editor Bayreuth University Center for Mobile Learning with Digital Technology sketchometry Universitätsstraße Bayreuth Germany Internet Licence 2

3 a Tablet You draw points, segments, lines, circles, or triangles on a tablet screen with your finger. sketchometry transforms your sketches into exact objects that can be moved and modified afterwards. Actually you can generate dynamic constructions in two ticks. Whiteboard Draw the parallel line gesture on the board. sketchometry recognizes this gesture and generates a parallel line. Gestures instead of menus sketchometry sets new standards for dynamic geometry software products. a Desktop the rest. Further information Do you prefer working on the desktop with mouse and keyboard? No problem, draw the gestures with the mouse sketchometry will do 3

4 Constructing and Dragging (Moving) You can construct new objects with sketchometry by drawing sketches on the screen with your finger or the mouse pointer. For that you have to activate the construct mode (button Construct) in the toolbar: Constr. After touching the button Drag (drag mode) you can drag independent points, lines, and circles for instance, or you can rotate lines: Drag Drag and construct mode can be chosen independently: Drag Constr. Both Construct and Drag are chosen. Draw new objects and modify their position afterwards. Drag Constr. If only Construct is chosen then objects cannot be moved on the screen. The choice of this mode can be very helpful because now points, lines or other objects cannot be moved accidentally. 4

5 Drag Constr. If only Drag is chosen then its only possible to move independent points, lines, and other objects or to rotate lines for instance. Drawing an object by accident is not possible. This mode makes sense when you investigate or present and explain a completed construction. Drag Constr. If neither Construct nor Drag is chosen then your construction is fixed. Nevertheless by touching the button Prop. (board/object properties) you can change the appearance of the objects. Status Line When drawing a sketch on the screen with your finger or the mouse pointer the status line indicates the name of the identified object. 5

6 Dragging a Point (Independent) Point To drag a point you touch it with your finger and then move it on the screen. This is only possible for independent points and points on a path. Points of intersection cannot be moved independently. They can only be moved if at least one of their parent objects also can be moved. Touch a free position on the tablet screen with your finger. An independent point (in red color) appears. It does not depend on any other object. An independent point is free to move anywhere on the screen (sketch plane). Every point automatically gets a name. Select the properties menu to change the name. Point of Intersection Touch the intersection of two objects with your finger to mark their point of intersection. If there are more than two intersecting objects on this position then sketchometry asks which two objects should intersect. 6

7 Glider/Point on a Path A glider/point on a path is constructed on a path object such as a line, a segment, a circle, or a graph of a function. Touch the path object with your finger and a (yellow) point appears. A point on a path is free to move along its path, but cannot leave the path. 7

8 Independent Line Sketch a straight line on the tablet screen with your finger. sketchometry converts this sketch in an independent line. You can move this line with one finger and rotate it with two fingers. Line Draw a straight line through two given points with your finger. sketchometry creates a line. By moving one of the two given points you can change the position of the line. Segment A segment is drawn like a line through two given points. But here you have to start and end the line very close to the given points. Hint: It is advisable to deactivate the Drag mode for this construction! 8

9 Ray Two points are given. Start close to one point with your finger and draw a line beyond the second point. Moving a Line You can move an independent line or a line/segment through two independent points with your finger or mouse pointer. Rotating a Line You can rotate an independent line with two fingers. Grab the line on two different spots and turn the fingers against each other. 9

10 Independent Circle Sketch a circle on the screen with your finger or mouse pointer. sketchometry generates an exact circle automatically. Circle by Radius Two points are given. (They indicate the radius.) Start to draw a line close to the first point (center of the circle) with your finger. When you have reached the second point (that lies on the circumference) then continuously sketch an arc. sketchometry generates a circle with the selected center. Sector Three points are given. Start close to the selected center, draw a line up to a second point, and then continuously sketch an arc that ends at the third point. 10

11 Circle by Three Points Sketch a circle through three given points. sketchometry generates an exact circle through these points and the corresponding center. Moving a Circle You can move a circle with your finger or the mouse pointer. Resizing a Circle You can modify the size/diameter of a circle with two fingers. Grab the circle on two spots on the circumference and move the fingers appropriately. Thus you can shrink or enlarge the circle. You cannot do this movement with the mouse pointer. 11

12 Quadrangle Triangle Sketch a quadrangle on the screen with your finger. sketchometry automatically generates independent points at its vertices and draws an exact figure. Four (independent) points are given. Connect these points with lines on the screen with your finger or the mouse pointer. Sketch a triangle on the screen with your finger. sketchometry automatically generates independent points at its vertices and draws an exact figure. Three (independent) points are given. Connect these points with lines on the screen with your finger or the mouse pointer. Polygon Connect existing points on the screen by sketching lines with your finger or mouse pointer. sketchometry automatically generates a polygon. 12

13 Midpoint Two points are given. Start close to the first point and sketch a loop that ends at the second point. sketchometry generates the midpoint between the two given points. The connecting segment between the two points doesn t have to be visible. Reflection in a Point Two points are given, one point is the reflection center. Select the point you wish to reflect and sketch a segment to the reflection center with your finger. Then continuously move the finger back thus drawing a peak of an arrow. The reflected image of the first point appears. Reflection in a Line Given a straight line to be the mirror for reflection. Select the point you wish to reflect and sketch a line with your finger until you reach the mirror line. Then continuously move the finger back thus drawing a peak of an arrow. The reflected image of the point appears. 13

14 Perpendicular Line Sketch the letter L (right angle) with your finger. One part of the L has to be on the selected line (to which the new line is to be perpendicular). The perpendicular line can be moved with your finger or the mouse pointer. Perpendicular Line If you want to construct a perpendicular line through a specific point on the given line then the break point of the L has to coincide with this specific point on the line. Perpendicular Segment To construct a perpendicular segment to a line from a point not on this line sketch the letter L starting close to the given point. The second part of the L has to go along the given line. Note: If you start your sketch too far from the given point, you get a perpendicular line. 14

15 Parallel Line To construct a parallel to a given line simply sketch the letter Z. Ensure that the first or third part of the Z goes along the given line. Parallel Line How do you construct a line parallel to a given line and through a given point not on this line? Sketch the letter Z. The given point has to lie on the first part of the Z, and the third part goes along the given line. Angle Bisector Sketch the letter W. The first and last part of the W has to go along the legs of the selected angle. 15

16 Tangent Line on a Circle Sketch a T on the circumference. The horizontal segment of the T indicates the position of the tangent line. sketchometry generates the touching point (as point on a path) and the corresponding tangent line. Tangent Line on a Graph Sketch a T on the graph of a function. The horizontal segment of the T indicates the position of the tangent line. sketchometry generates the touching point (as point on a path) and the corresponding tangent line. Marking an Angle Sketch an arc from the first to the second leg of the angle (counterclockwise). sketchometry marks the angle with an arc and automatically gives a name. To change this name select the properties menu. 16

17 Slope Triangle Sketch a triangle on the tangent line of the graph of a function. (One side of the triangle has to go along the tangent line.) sketchometry generates the corresponding slope triangle. Copying Length Touch a selected segment on the screen with your finger and hold it for some seconds until a circle appears with this segment as radius. Under your fingertip there lies the centre of this circle. Now drag the centre together with the circle to the requested position. Copying Radius Touch the selected circumference with your finger and hold it for some seconds until a circle with equal radius appears. Drag the new circle at its center to the requested position. 17

18 Moving Construction You can move the whole construction with two fingers. When working with a mouse you have to select the Zoom/Navigation menu in the toolbar. Zooming Construction Move two fingers towards each other to shrink the construction. Move the two fingers apart to enlarge the construction. When working with a mouse you have to select the Zoom/Navigation menu in the toolbar. 18

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