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A B C ABCD altitude base called centre chord circle circumference common cone consequently contained convex surface corresponding Cosine Cotang cylinder described diagonal diameter difference distance divided draw drawn edge equal equivalent EXAMPLES faces feet figure four frustum given greater half hence hypothenuse inches included inscribed join length less logarithm magnitudes manner means measured meet middle multiplied opposite parallel parallelogram parallelopipedon pass perimeter perpendicular plane polygon prism PROBLEM Prop proportional PROPOSITION pyramid radius ratio rectangle regular remain right angles right-angled triangle rods Scholium segment side A B sides similar sine slant height solidity sphere spherical triangle square straight line tangent THEOREM third triangle triangle ABC vertex VIII whole yards
Σελίδα 17 - 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 153 - The convex surface of the cylinder is equal to the circumference of its base multiplied by its altitude (Prop.
Σελίδα 28 - 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 116 - The radius of a sphere is a straight line, drawn from the centre to any point of the...
Σελίδα 96 - 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 142 - The convex surface of this prism is equal to the perimeter of its base multiplied by its altitude, AG (Prop.
Σελίδα 174 - Find the area of the sector having' the same arc with the segment, and also the area of the triangle formed by the chord of the segment and the radii of the sector. Then...
Σελίδα 14 - Straight lines which are parallel to the same line are parallel to each other. Let the straight lines AB, CD be each parallel to the line EF ; then are they parallel to each other.