A Geometry for BeginnersGinn & Company, 1886 |
Other editions - View all
Common terms and phrases
ABCD Fig adjacent angles altitude angles are equal Axiom axis base bisectors bisects body called centre chord circumference circumscribed coincide concave angle cone Construct a triangle corners Corollary cube curved cylinder decagon Definition diagonal diameter distance divide draw a line edge ellipse equilateral triangle equivalent Exercises Exercises.-1 exterior angle figure find the area Find the side four frustum Geometry given angle given circle given line given point Hence homologous sides horizontal hypotenuse inscribed angle inscribed regular intersection isosceles triangle join legs less radius lines parallel magnitude measure number of sides opposite parallel lines parallelogram parallelopiped perimeter perpendicular polyhedrons prism Problem Proof pyramid quadrilateral radii ratio rectangle regular hexagon regular octagon regular polygon rhombus right angle right triangle ruler sector segment shape similar triangles slant height solid angle sphere square meters straight line tangent Theorem trapezoid triangle ABC units of length vertex volume
Popular passages
Page 109 - 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 132 - The area of a rectangle is equal to the product of its base and altitude. Given R a rectangle with base b and altitude a. To prove R = a X b. Proof. Let U be the unit of surface. .R axb U' Then 1x1 But - is the area of R.
Page 171 - If two polygons are composed of the same number of triangles, similar each to each and similarly placed, the polygons are similar.
Page 71 - If two angles of one triangle are equal respectively to two angles of another triangle, the third angles are equal.
Page 133 - The area of a parallelogram is equal to the product of its base and its height: A = bx h.
Page 84 - Hence the arc drawn from the vertex of an isosceles spherical triangle, to the middle of the base, is perpendicular to the base, and bisects the vertical angle.
Page 245 - The altitude of a pyramid is the length of the perpendicular from the vertex of the pyramid to the plane of the base.
Page 116 - A regular polygon of three sides is called an equilateral triangle ; oifour sides, a square ; of five sides, a pentagon ; of six sides, a hexagon ; of seven sides, a heptagon ; of eight sides, an octagon ; of nine sides, a nonagon ; of ten sides, a decagon ; of twelve sides, a dodecagon.
Page 117 - Theorem. — The sum of all the angles of a polygon is equal to twice as many right angles as the polygon has sides, less two.
Page 189 - A tangent to a circle is perpendicular to the radius drawn to the point of contact.