## Lessons in Geometry |

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### Common terms and phrases

ABCD Fig adjacent angles altitude angles are equal apothem bisect breadth called centre chord circumference cone Construct a square cube cubic curved cylinder Define Describe a circle diagonals diameter dihedral angle dimensions divided Draw a line edges equal angles equiangular equidistant equilateral triangle equivalent exercises in Lessons feet Find the area Find the side Find the volume foot frustum given point homologous sides horizontal plane hypotenuse Hypothesis inches inscribed inscribed angle intersection isosceles triangle italicized exercises Join lateral surface Measure meter middle point miles parallel lines parallelogram perimeter perpendicular Proof protractor Prove pyramid radii radius rectangle regular hexagon regular polygon Review the italicized rhombus right angle ruler and compasses shape similar triangles slant height sphere straight angle straight line tangent Theorem trapezoid triangle ABC units of length vertex vertical planes

### Popular passages

Page 162 - A right prism is a prism whose lateral edges are perpendicular to the planes of the bases. In a right prism each lateral edge is equal to the altitude. 537. DBF. A regular prism is a right prism whose bases are regular polygons.

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 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 126 - In a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

Page 73 - Every point in the bisector of an angle is equidistant from the sides of the angle. Hyp. Z DAB = Z DAC and 0 is any point in AD. To prove 0 is equidistant from AB and AC. Draw OP _L AB and OP' _L AC, and prove the equality of the two triangles.

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?

Page 39 - Define an acute angle and an obtuse angle. An angle less than a right angle is called an acute angle, and an angle greater than a right angle is called an obtuse angle.

Page 56 - In a right triangle, the side opposite the right angle is called the hypotenuse and is the longest side.

Page 123 - The area of any polygon may be found by dividing it into triangles by means of diagonals, computing the areas of these triangles, and adding the results.

Page 23 - A magnitude may be substituted for its equal. 2. If equals are added to equals, the sums are equal. 3. If equals are subtracted from equals, the remainders are equal. 4. If equals are multiplied by equals, the products are equal. 5. If equals are divided by equals, the quotients are equal.