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 cone Construct a square cube cubic curved cylinder Define Describe a circle diagonals diameter dihedral angle dimensions direction distance Draw a line draw a straight Draw a three-sided Draw freehand edges equilateral triangle example exercises in Lessons feet Find the area Find the volume frustum Geometry given point horizontal plane hypotenuse HYPOTHESIS inches inscribed inscribed angle intersection isosceles triangle italicized exercises Join lateral surface Measure meter middle point miles paper parallel lines parallelogram perimeter prism protractor Prove pyramid radii radius ratio rectangle regular polygon Review the italicized rhombus right angle right triangle ruler and compasses similar triangles slant height sphere straight angle straight line Theorem three-sided figure trapezoid units of length vertex vertical line
Popular passages
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 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 155 - A STRAIGHT line is perpendicular to a plane, when it is perpendicular to every straight line which it meets in that plane.
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 62 - ... swamps, etc. In such cases, Geometry teaches us how to measure the line indirectly, by treating it as a part of a triangle which we can construct after we have found the values of three other parts by direct measurement. LESSONS IN GEOMETRY. Lesson 31. 1. 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.
Page 73 - Theorem. — Every point in the bisector of an angle is equidistant from the sides of the angle.
Page 163 - The distance around a reservoir in the shape of a regular hexagon is 360 ft. If the average daily loss from evaporation amounts to a layer of water 2 in. deep, how many cubic feet of water must be supplied daily to maintain the water at a constant level ? LESSONS IN GEOMETRY.
Page 68 - In an isosceles triangle the angles opposite the equal sides are equal.