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Formation of the Angle.

The mother draws an angle on the slate, and pointing to it, tells him this is an angle. What is this?

She draws a number of angles on the slate, and tells the child to count them.

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On what objects in the room do you perceive angles ? On the door; on the walls; on the windows; the table, &c.

How many angles do you perceive on this sheet of paper; on that picture-frame; on this pane ? this box, &c.

Now run into the four angles of this



Formation of combined angles, or of Trilateral, Quadilateral, and Multilateral figures or Polygons.

The mother draws a threesided or trilateral figure, saying, this is a triangle. She draws, after this, several triangles, &c.

She draws quadilateral figures.

· A square.

An oblong.

A rhomb.

A rhomboid.

Five-sided Figures, or Penta

gons, &c.

and makes him count the number of each sort of figures.

After this she tells him to find out similar figures on surrounding objects, either in the house, the garden, or the fields.

In this the child must be well exercised, as, while affording him amusement, it will greatly strengthen his faculties; but the mother will recollect that the object, at present, simply is, Intuition and Denomination; and she will avoid every attempt at definition.


Points, united and separate.

The mother makes two points, joining one another, but so as to be distinguished as two; then two more, separate from each other; saying, these two points are in contact; these two are separate.

Try to make two points, which join each other or are in contact; three which are separate: make a number of each sort, and tell me how many you have made of each.


Straight lines, and rectilinear figures, con

sidered as united and separate.

Mother draws two, three, four separate straight lines, &c. She draws two, three, four straight lines in contact. Two lines in contact, and a third not joining the former.

The mother draws a number of lines which are in contact, and a number which are separate, and asks, How many are in contact, and how many separate?

She then draws a number of triangles, Squares, and polygons, both separate and in

contact, and questions the child respecting them.


Mother. Can you show me in this room, two lines, two angles, triangles ; and two foursided figures in contact? &c.

Can you point out any lines or figures of the same sort, separate from each other ? &c.

SECTION VIII. Elements of form, considered with respect to

magnitude. The mother makes two points of equal size or magnitude, and two of unequal size, saying,

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