Elements of Geometry: With Practical Applications to MensurationR.S. Davis & Company, 1866 - 320 σελίδες |
Συχνά εμφανιζόμενοι όροι και φράσεις
A B C ABCDEF adjacent angles altitude angle ACB base bisect centre chord circumference circumscribed cone convex surface cylinder diagonal diameter divided draw the straight edge equal angles equal Prop equiangular equilateral triangle equivalent frustum given straight line gles greater homologous homologous sides hypothenuse inches inscribed circle interior angles intersection isosceles less Let ABCD line A B line CD mean proportional measured by half multiplied number of sides opposite parallelogram parallelopipedon pendicular perimeter perpendicular plane MN polyedral angle polyedron prism Prob PROBLEM PROPOSITION pyramid quadrilateral radii radius ratio rectangle regular polygon Required the area right angles Prop right-angled triangle rods Scholium secant line segment side A B similar slant height sphere spherical polygon spherical triangle square described tangent THEOREM triangle ABC vertex
Δημοφιλή αποσπάσματα
Σελίδα 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.
Σελίδα 121 - Through a given point to draw a straight line parallel to a given straight line, Let A be the given point, and BC the given straight line : it is required to draw through the point A a straight line parallel to BC.
Σελίδα 52 - If any number of quantities are proportional, any antecedent is to its consequent as the sum of all the antecedents is to the sum of all the consequents. Let a : b = c : d = e :f Now ab = ab (1) and by Theorem I.
Σελίδα 19 - In an isosceles triangle, the angles opposite the equal sides are equal.
Σελίδα 168 - If a straight line is perpendicular to each of two straight lines at their point of intersection, it is perpendicular to the plane of those lines.
Σελίδα 159 - The circumferences of circles are to each other as their radii, and their areas are to each other as the squares of their radii. Let C denote the circumference of one of ^ the circles, R its radius OA, A its area; and let C...
Σελίδα 38 - All the interior angles of any rectilineal figure, together with four right angles, are equal to twice as many right angles as the figure has sides.
Σελίδα 254 - RULE. — Multiply the base by the altitude, and the product will be the area.
Σελίδα 35 - If a side of a triangle be produced, the exterior angle is equal to the sum of the two interior and opposite angles ; and the three interior angles of every triangle are together equal to two right angles.
Σελίδα 32 - If a straight line falling upon two other straight lines, make the exterior angle equal to the interior and opposite upon the same side of the line...