Lessons in Geometry: For the Use of Beginners |
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Common terms and phrases
ABCD Fig adjacent angles altitude angle BAC angles are equal apothem base bisect body breadth called centre chord circumference coincide cone cube cubic curved cylinder Define Describe a circle diagonals diameter dihedral angle dimensions direction distance divided Draw a line Draw a three-sided Draw freehand edges equal angles equidistant equilateral triangle example exercises in Lessons feet Find the area Find the value frustum given point height horizontal plane hypotenuse HYPOTHESIS inches inscribed inscribed angle intersection isosceles triangle italicized exercises Join Measure meter middle point miles obtuse paper parallel lines parallelogram perimeter perpendicular prism PROOF protractor Prove pyramid radii radius ratio rectangle regular polygon Review the italicized rhombus right angle right triangle ruler and compasses shape similar triangles slant height sphere straight angle straight line theorem three-sided figure trapezoid units of length vertex vertical line volume
Popular passages
Page 145 - That is, in any proportion either extreme ' is equal to the product of the means divided by the other extreme ; and either mean is equal to the product of the extremes divided by the other mean.
Page 56 - In a right triangle, the side opposite the right angle is called the hypotenuse and is the longest side.
Page 162 - An oblique prism is a prism whose lateral edges are not perpendicular to the planes of the bases.
Page 145 - The areas of two circles are to each other as the squares of their radii. For, if S and S' denote the areas, and R and R
Page 126 - In a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
Page 155 - A STRAIGHT line is perpendicular to a plane, when it is perpendicular to every straight line which it meets in that plane.
Page 39 - 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 66 - 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 62 - How can it be shown to the eye that the sum of the angles of a triangle is equal to a straight angle, or 180°?
Page 173 - The area of a zone is equal to the product of its altitude by the circumference of a great circle.