A Geometry for BeginnersGinn, Heath & Company, 1884 |
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Common terms and phrases
ABCD Fig acute angle adjacent angles altitude angles are equal Axiom axis base bisectors bisects called centre chord circumference concave angle cone Construct a triangle convex angle corner Corollary cube curved cylinder decagon describe diagonal diameter distance Divide draw a line edge ellipse equilateral triangle equivalent example Exercises Exercises.-1 exterior angle figure find the area find the side frustum given angle given circle given line given point Hence homologous sides horizontal hypotenuse inscribed angle intersection isosceles triangle legs less radius line of symmetry magnitude measure number of sides opposite parallel lines parallelogram parallelopiped perimeter perpendicular plane polyhedrons prism Problem pyramid quadrilateral radii ratio rectangle regular hexagon regular octagon regular polygon rhombus right angle right triangle sector segment shape similar triangles solid angle sphere square meters straight angle straight line surface Theorem trapezoid triangle ABC units of length vertex vertical 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 125 - 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 71 - If two angles of one triangle are equal respectively to two angles of another triangle, the third angles are equal.
Page 125 - The area of a parallelogram is equal to the product of its base and its height: A = bx h.
Page 170 - The perimeters of two regular polygons of the same number of sides, are to each other as their homologous sides, and their areas are to each other as the squares of those sides (Prop.
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 247 - 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 187 - A tangent to a circle is perpendicular to the radius drawn to the point of contact.