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15 feet 20 feet ABCD altitude angles equal axis base multiplied bisect breadth centre chord circle whose diameter circular sector circumference cone consequently convex surface cube cylinder decimal diagonal dicular divide draw entire surface equal altitudes equal Bk equal to half equivalent EXAMPLES figure find the area frustum half the arc half the product hence homologous sides hypothenuse included angle inscribed square intersection length Let ABCD lower base measured by half Mensuration of Solids Mensuration of Surfaces nonagon number of sides parallelogram parallelopipedon pendicular pentagonal pyramid perimeter perpen perpendicular plane prism PROBLEM quadrilateral radii radius rectangle regular polygon Required the area rhombus right angled triangle right angles Bk RULE segment slant height solid feet solid ft sphere square feet squares described straight line tangent THEOREM three sides trapezoid triangle ABC triangular prism upper base
Page 97 - If two triangles have two sides and the included angle of the one, equal to two sides and the included angle of the other, each to each, the two triangles will be equal in all their parts." Axiom 1. "Things which are equal to the same thing, are equal to each other.
Page 12 - The circumference of every circle is supposed to be divided into 360 equal parts, called degrees ; each degree into 60 equal parts, called minutes ; and each minute into 60 equal parts, called seconds.
Page 59 - If two triangles have the three sides of the one equal to the three sides of the other, each to each, the triangles are congruent.
Page 131 - If a cone be cut by a plane parallel to the base, the section will be a circle.
Page 91 - If a straight line be divided into any two parts, the square of the whole line is equal to the squares of the two parts, together with twice the rectangle contained by the parts.
Page 174 - To find the area of a trapezoid. RULE. Multiply the sum of the parallel sides by the perpendicular distance between them, and then divide the product by two : the quotient will be the area (Bk.
Page 34 - Hence, the interior angles plus four right angles, is equal to twice as many right angles as the polygon has sides, and consequently, equal to the sum of the interior angles plus the exterior angles.
Page 90 - Two triangles of the same altitude are to each other as their bases ; and...