Sunday, March 16, 2014

How to draw perpendicular and parallel lines with points toolset

picture 1
Assume that we have a triangle ABC and we want to draw the height AH and parallelogram ABCD (draw the red lines on the picture 1).

The following steps show how to do that.

Step 1: Draw line AH ⊥ BC

Select point A. Drag the "add line" tool of the point toolset and drag it to line BC

The small green circles appeared to highlight "meaning points", one of them is a projected point of point A on BC (call it H).

Move the red pointer to H and drop. Point A will be connected with H. (Select AH and use color tool to change color of AH to red)

illustration of step 1

Step 2: Draw AD // BC

Select point A, choose "parallel line" tool of the point toolset (//) and drag it into the area above of BC. Some points will be highlighted as shown in picture 3. Move the pointer to the point 2 and drop it there (see picture 3). Name the new point as D.

picture 3

Connect point C with point D and colour lines AD, CD by red. In the result we have a drawing which is shown in picture 1.

Note: There a variety ways to draw the construction. The above is method by using points toolset, we can also use line toolset, circles toolset or combinations of them.


16.3.2014


 

Monday, March 10, 2014

How to start drawing a geometry construction

Imagine your construction

Before starting drawing, it is important to think about the construction: which is the main object? (a triangle? a square? a trapezoid? or a circle?...) and where to start?... Try to imagine your construction and choose the object to start.

Add the first object(s)
P1: Basic objects tools

The drawing screen starts with the basic objects tools. Choose your object, drag into the drawing area and drop it! The most common object to start are triangle, line and circle.

After adding the first object, you can add the second,...

Note: basic objects tools add an object independently of other objects on your constructions. If you want to add an object with some relation with existing object (for example: draw line from a selected point to other point), choose points tools, line tools,... in accordance with your selected object.
P2: connecting points

Draw line connecting a selected point with other point

The picture P2 shows a simple construction with line segment BC and point A. Touch on point A to select it. Now you can use line drawing tool (the first one on the left of toolset) of points toolset to draw line from point A to any other point.

Touch and hold the line tool, drag it into drawing area (do not drop it) and you can see 5 green circles appeared with the pink one connecting to A by a dotted red line (P3).

1) Green circles are points A, B, C, projected point of A on BC and the midpoint of BC.

2) The pink circle is pointer of current position, drag and drop it on the point you want to connect with point A.

P3



For example, we do the following:

- connect A with B (draw line AB)
- connect A with C (draw line AC)
- connect A with midpoint of BC (draw the median AM)
- name the midpoint of BC as M

Finally we have a triangle ABC with the median AM.

Note: when you drag nearly to the highlighted points, the app with automatically adjust the pointer into it. This helps you draw easier and more exactly. 


11.3.2014

Saturday, March 8, 2014

Tools News: Plane Geometry Drawer v1.3 is available on the AppStrore

The new version (1.3) of "Plane Geometry Drawer" has the following new features/improvements:


1) Tools for set colour for lines and circles

When any line/circle is selected, the small circle will appear at the top of the drawing area (on the left). Touch on it to select colour for the selected line/circle.


2) Improvement of the objects selection tools

Now if you touch on the "pink" circle, all options are listed and you could select the objects type by one touch. One more change: for selecting a line, choose the line come from/to a selected point.


FREE Download!

3) New keyboard with more geometry symbols

The new geometry keyboard add more geometry and math symbols and some of greek characters.

4) Naming points

Automatic increase the next points name for complex names like A', B', (O), (I),... For example if you named a point as A', you can name the next point(s) as B', C' by dragging the naming tool for the point(s).




FREE Download!





09.3.2014

Friday, March 7, 2014

Practice: how to draw rectangle and angle

This article shows how to draw the rectangle ABCD, AD = 2AB and point E is on side BC and angle BAE = 15°


picture 1



picture 2


There are different ways to draw a geometry constuction shown in picture 1. The following steps are one of constructing methods:


1) From the basic tools select the "add line" tool and add a line, let name it AD


2) Select point A by touching on it, the points tools will be showed

picture 3


3) Use draw perpendicular line from A, draw AB ⊥ AD and AB = 1/2 AD (picture 2)


4) Select point B, and draw BC // AD, BC = AD, draw line from C to D. Now we have a rectangle ABCD with AD = 2AB.

5) Select point A and from A draw arbitrary line AE, and drag the protractor to point A (picture 3), use protractor to rotate AE such as angle EAD = 75°.

6) Use change length tool to move point E to line BC. In the end we have the construction as required.









7.3.2014





Drawing with selected line

With the selected (straight) line segment (or "line" in short) the "Plane Geometry Drawer" app supports variety set of users actions:

1) Add a new point on selected line AB (highlighted)
2) Change line style solid <-> dotted
3) Draw a new line perpendicular to the selected line
4) Draw a new line parallel to the selected line
5) Change the length of the line
6) Draw extensions of the line
7) Draw a circle tangent to the line
8) Draw a cicle with selected line as diameter
9) Draw a triangle with selected line as one side and with given angle


With the PRO version you can also mark the selected line with different mark signs (see the picture).

New!!! With the new, coming soon version 1.3, the tools will allow users to choose color for lines & circles. 


06.3.2014

Drawing with selected point objects

Draw line from A perpendicular to CD
When you tap on any point of construction, the point will be highlighted by the small green circle around it and point tools will be appeared on the bottom of screen.

There many useful tools for drawing with selected points (A). To select a point touch on it or use selection tools (point option):

1) Draw line form point A to other points or new point
2) Draw straight line from point A perpendicular to arbitrary line. A picture shows how to do that.
3) Draw straight line from point A parallel to arbitrary line
4) Draw an arc of center A, with required length on any direction
5) Draw a circle with a diameter from A to any point
6) Draw a circle passing through A and tangent line
7) Draw a circle of center A and passing through any other point
8) Draw a circle passing through A and two other points


Simply drag the tool and drop it where you needed!



06.3.2014

Users Guides: How to draw basic geometry objects



Drawing basic objects (point, line, circle, angle, triangle, square, ...) is easy task: tap on the respective tool icon, drag it to the drawing area and drop it where you want. But before that you need to show basic tools by tapping on any point on the drawing area (not on existing objects).

Usually, use the basic tools to add an "basic object" or an "main object" or the first object of your construction. 

The tools adds objects independently, the new object doesn't have any relations with previous objects.

To draw objects with relations with existing objects, we use other toolsets: points tools, line tools,....




06.3.2014