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Άλλες εκδόσεις - Προβολή όλων
Elements of Geometry, Plane and Spherical: With Numerous Practical Problems
Horatio Nelson Robinson
Προβολή αποσπασμάτων - 1868
ABCD altitude axis base becomes bisected chord circle circumference circumscribed common cone constructed contained cylinder described determine diagonal diameter difference direction distance divided draw drawn edges equal equation equiangular equivalent expressed extremities faces fall feet figure follows formed four frustum give given greater half Hence the theorem homologous hypotenuse included inscribed intersect joining length less Let ABC magnitudes mean measured meet multiplied number of sides opposite parallel parallelogram parallelopipedon pass perpendicular placed plane pole polygon portion PROBLEM produced proportion PROPOSITION prove pyramid radius ratio rectangle regular represent respectively right angles segment sides similar solid sphere spherical square straight line suppose surface taken third triangle unit vertex vertices volume whole
Σελίδα 30 - Therefore all the interior angles of the figure, together with four right angles, are equal to twice as many right angles as the figure has sides.
Σελίδα 128 - To inscribe a regular polygon of a certain number of sides in a given circle, we have only to divide the circumference into as many equal parts as the polygon has sides : for the arcs being equal, the chords AB, BC, CD, &c.
Σελίδα 174 - A cylinder is conceived to be generated by the revolution of a rectangle about one of its sides as an axis.
Σελίδα 254 - If two triangles have two angles of the one equal to two angles of the other, each to each, and one side equal to one side, viz.
Σελίδα 77 - FGL ; (vi. 6.) and therefore similar to it ; (vi. 4.) wherefore the angle ABE is equal to the angle FGL: and, because the polygons are similar, the whole angle ABC is equal to the whole angle FGH ; (vi.
Σελίδα 113 - From a given point, to draw a line parallel to a given line. Let A be the given point, and BC the given line.
Σελίδα 160 - THEOREM. If two planes are perpendicular to the same straight line, they are parallel to each other. Let the planes MN...
Σελίδα 58 - If a straight line be divided into two equal parts, and also into two unequal parts; the rectangle contained by the unequal parts, together with the square of the line between the points of section, is equal to the square of half the line.