The preliminary army examination made easy, a guide to self-preparation

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Page 38 - If two triangles have two angles of the one equal to two angles of the other, each to each, and one side equal to one side, viz.
Page 38 - Any two sides of a triangle are together greater than the third side.
Page 39 - The opposite sides and angles of a parallelogram are equal to one another, and the diameter bisects it, that is, divides it into two equal parts. N. B — A parallelogram is a four-sided figure, of which the opposite sides are parallel : and the diameter is the straight line joining two of its opposite angles.
Page 37 - Upon the same base, and on the same side of it, there cannot be two triangles that have their sides which are terminated in one extremity of' the base, equal to one another, and likewise those which are terminated in the other extremity.
Page 39 - IF a straight line falling upon two other straight lines makes the alternate angles equal to one another, these two straight lines shall be parallel.
Page 39 - TO describe a parallelogram equal to a given rectilineal figure, and having an angle equal to a given rectilineal angle.
Page 39 - DE : but equal triangles on the same base and on the same side of it, are between the same parallels ; (i.
Page 39 - The complements of the parallelograms, which are about the diameter of any parallelogram, are equal to one another.
Page 10 - German, or some other modern language ; the examination being limited to a translation from the language, and grammatical questions. (3.) Writing English correctly, and in a good legible hand, from dictation. (4.) The elements of geometrical drawing ; including the construction of scales, and the use of simple mathematical instruments.
Page 39 - To construct a parallelogram equal to a given triangle and having one of its angles equal to a given angle.

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