First Steps in Geometry

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Page 42 - An angle less than a right angle is called an acute angle; an angle greater than a right angle and less than two right angles is called an obtuse angle.
Page 146 - THEOREM. Every section of a sphere, made by a plane, is a circle.
Page 111 - Four quantities are in proportion when the ratio of the first to the second is equal to the ratio of the third to the fourth.
Page 63 - Two triangles are congruent if two angles and the included side of one are equal respectively to two angles and the included side of the other.
Page 63 - Two triangles are congruent if two sides and the included angle of one are equal respectively to two sides and the included angle of the other.
Page 104 - The square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides.
Page 62 - The angles opposite the equal sides of an isosceles triangle are equal.
Page 122 - The areas of two similar triangles are to each other as the squares of any two homologous sides.
Page 31 - Circle is a plane figure bounded by a curved line called a circumference, every point of which is equally distant from a point within called the centre.
Page 96 - The area of a rectangle is found by multiplying the number of units in the length by the number of like units in the width.

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