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Elements of Geometry: Including Plane, Solid, and Spherical Geometry
George Washington Hull
Δεν υπάρχει διαθέσιμη προεπισκόπηση - 1897
ABCD Adding altitude arc AC base bisects called centre chord circle circumference circumscribed coincide common cone construct contained cylinder Dem.Draw describe diagonals diameter difference dihedral angle divided draw edges equally distant equilateral equivalent EXERCISES exterior angles extremities faces figure Find formed four frustum given given point Given-AB Given—The greater half Hence included inscribed intersect isosceles joining lateral area less limit measure meet middle point multiplied opposite parallel parallelogram parallelopiped passed perimeter perpendicular plane plane MN polygon polyhedrons prism PROBLEM proportional PROPOSITION Prove pyramid Q. E. D. PROPOSITION quadrilateral radius ratio rectangle regular polygon respectively right angles right triangle segment sides similar sphere spherical triangle square straight line surface tangent THEOREM third triangle triangle ABC unit vertex vertices volume
Σελίδα 327 - A sphere is a solid bounded by a surface all points of which are equally distant from a point within called the centre.
Σελίδα 80 - In a series of equal ratios, any antecedent is to its consequent, as the sum of all the antecedents is to the sum of all the consequents. Let a: 6 = c: d = e :/. Then, by Art.
Σελίδα 207 - 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.
Σελίδα 10 - In any triangle, the square of the side opposite an acute angle is equal to the sum of the squares of the other two sides, minus twice the product of one of these sides and the projection of the other side upon it.
Σελίδα 152 - The square described on the hypothenuse of a right-angled triangle is equivalent to the sum of the squares described on the other two sides.
Σελίδα 392 - A sphere is a solid bounded by a curved surface, every point of which is equally distant from a point within called the center.
Σελίδα 39 - If two parallel lines are cut by a transversal, the sum of the two interior angles on the same side of the transversal is two right angles.
Σελίδα 176 - If from, a point without a circle a secant and a tangent are drawn, the tangent is a mean proportional between the whole secant and the external segment.