Wednesday, November 12, 2014

Geometry Pad-2D: Select an object to work with

In many cases you need to select an object (point, line segment, circle, triangle, polygon, angle) to work with. For example, you want to draw a circumscribed circle of triangle ABC, in this case you need to select triangle, and use triangle tools to draw its circumscribed circle.



There are some ways to select an object in the construction showing in screen:

Select by tapping on screen

  • To select a point, you can simply tap nearly it on screen
  • To select a line segment: tap nearly its center point
  • To select a circle: tap on it
  • To select a triangle, polygon: tap somewhere in the "centre" of a shape
  • To select an angle: select its vertex first, then tap somewhere inside its, nearly but not too close to the vertex     

select an object by tapping on screen

Limitation: when your construction is complex enough, this may make some confuse when you tap on the screen. For example, when two or more line segments have the same center point or there are some angles with the same vertex,...

Note: the selected object by default will be highlighted light-green filling

Use "bottom" tools 

This tools will appeared when you select some point. It is to help you select objects related to the selected point. For example, when you select point "B", the "line segment" selection tool will show you all line segments comes from/to point "B".

bottom selection tools


Limitation: this method shows you all possible variations for choosing an objects, sometime there are too many variations and it makes you difficult to detect which one is your object!

Use main selection tools

This is the most careful method to select an object, it was designed for line segments, triangles, angles and polygons. Steps to choose an object are:

  1. Choose selection tool
  2. Choose type of object
  3. Tap on all points (vertices) of an object which you want to select
Note: You should tap on the points in order you needed. For example, when you tap points: "A", "B", "C", angle ABC will be selected; but tapping on "B", "A", "C" will select angle "BAC". In the case of polygon: quadrilaterals ABCD and ACBD are different each of other!






Tuesday, November 11, 2014

Geometry Pad-2D: Working with triangle [1]

Suppose that we have some problem like: "Given triangle ABC with the height AH, draw line HD // AC, D is on side AC...."

pic 1


With the "Geometry Pad-2D" app, you can draw the picture easily by following steps:

Step 1: Draw triangle ABC
Step 1: Draw triangle ABC

a) Tap on the "+" tool of the TOP toolsbox
b) Tap on the "triangle" tool of the RIGHT toolsbox
c) Select type of triangle
d) Move triangle into right position 

Note: You also can change the drawn triangle by tap on any vertex or side then move it, change it using points or line segments tools

Step 2: Draw height AH

There are different ways to draw the heights of triangle: use points tools, use lines tools or use triangle tools. The following shows how to use points tools to draw height AH.

a) Select vertex A
b) Select "draw perpendicular segment" tool
c) Select showed point to draw line to...

Note: new the point on BC is automatically named as "D", we will change name of the point later.

Step 2: Draw height from A

Step 3: Draw line segment parallel to  AB

a) Select line AB, then select point D
b) Select "draw perpendicular..." of the Right toolsbox
c) Tap on small brown circle appeared on AC


Step 3: Draw DE // AB
Note: by default, new added line segments have "dotted" style









Step 4: Naming, styles and colours

a) Now you can use points tools (select any point to show point tools on the right side of screen) to change name(s) of points. In our case change "D" -> "H" and "E" -> "D"

(The naming tool is the first one of the points toolsbox)

b) Select line segment to show lines toolsbox on the right side of screen. Use change line-style, change line-colour tools to make a picture look as you want

line segments toolsbox

c) Select angle AHC and mark it with, the right angle mark will be drawn

mark angle

2014.11.10
Geometry 2D-Pad on Facebook

Thursday, October 2, 2014

Geometry 2D-Pad: How to add new object?


This is to describe the first way to add new object to a geometry construction using Geometry 2D-Pad (v2.0) on your iPad (with iOS 7++). In our example, the new object is a triangle.

1) Tap the "add" tool on the top screen menu (+)
2) Tap the triangle tool on the right toolset (it appeared after 1st action)
3) The new triangle with the "moving circle" (pink) will appeared in drawing screen
4) Drag and drop the new shape with the pink circle at the right position

See the picture:

Step to add new triangle

The triangle ABC has been added. Now you can choose it and use "working with triangle toolset" to add the altitude AH as bellow:

Choose triangle ABC and draw altitude AH

Notes: before moving the new triangle, you could see some interesting pictures on the bottom side of drawing area, what is it? This is a new interesting feature, which allows you to choose a type of new triangle: equilateral, right or isosceles. Let try it and see the results!

It is so easy, isn't it?


2014.10.03
Geometry 2D-Pad on Facebook

Tuesday, June 10, 2014

How to draw an inscribed and a circumscribed circles of a triangle?

(O1) is an inscribed, (O2) is a circumscribed circle of triangle ABC

This post is to show how to use Geometry Drawer tools to draw an inscribed and a circumscribed circle of a given triangle. On a paper, this task is a combination of several activities to detect a centre points of required circles. With Geometry Drawer Tools it made easy:

1) Select a triangle ABC with selection tools or by selecting point A, then long press on on side BC
2) When the triangle is selected, the circles tools will be appeared.
3) Select required tool and drag it into drawing area, then drop it

That is all! See the picture bellow:

Tools for drawing an inscribed and a circumscribed circles

Notes:

1) The picture is taken by Geometry Drawer for iPhone. It is the same way for drawing by Geometry Drawer for iPad.

2) After the above task, you can use circles tools to change style and colour of a drawn circles


11.6.2014

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