Elements of Plane and Solid GeometryAmerican Book Company, 1903 - 384 σελίδες |
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Αποτελέσματα 1 - 5 από τα 18.
Σελίδα 5
... EXERCISES 283 BOOK VII . POLYHEDRONS 285 ADDITIONAL EXERCISES 317 BOOK VIII . CYLINDERS AND CONES 320 ADDITIONAL EXERCISES 340 BOOK IX . THE SPHERE 342 ADDITIONAL EXERCISES 382 INDEX OF MATHEMATICAL TERMS PLANE GEOMETRY [ The references ...
... EXERCISES 283 BOOK VII . POLYHEDRONS 285 ADDITIONAL EXERCISES 317 BOOK VIII . CYLINDERS AND CONES 320 ADDITIONAL EXERCISES 340 BOOK IX . THE SPHERE 342 ADDITIONAL EXERCISES 382 INDEX OF MATHEMATICAL TERMS PLANE GEOMETRY [ The references ...
Σελίδα 248
... cone , 1024 of spherical circle , 1058 Base , of cone , 1024 of pyramid , 952 of spherical pyramid , 1152 of spherical sector , 1178 of spherical wedge , 1152 Bases , of cylinder , 994 of frustum of cone , 1049 of prism , 903 of zone ...
... cone , 1024 of spherical circle , 1058 Base , of cone , 1024 of pyramid , 952 of spherical pyramid , 1152 of spherical sector , 1178 of spherical wedge , 1152 Bases , of cylinder , 994 of frustum of cone , 1049 of prism , 903 of zone ...
Σελίδα 249
... cone , 1049 altitude of , 1049 bases of , 1049 slant height of , 1049 Frustum of pyramid , 952 altitude of , 952 ... cone , 1030 tangent to cylinder , 1006 tangent to sphere , 1056 249 Plane angle of a dihedral angle , 854 Polar distance ...
... cone , 1049 altitude of , 1049 bases of , 1049 slant height of , 1049 Frustum of pyramid , 952 altitude of , 952 ... cone , 1030 tangent to cylinder , 1006 tangent to sphere , 1056 249 Plane angle of a dihedral angle , 854 Polar distance ...
Σελίδα 250
... cone , 1032 frustum of , 952 inscribed in cone , 1032 lateral area of , 952 lateral faces of , 952 quadrangular , 952 regular , 952 slant height of , 952 spherical , 1152 triangular , 952 truncated , 952 vertex of , 952 Quadrangular ...
... cone , 1032 frustum of , 952 inscribed in cone , 1032 lateral area of , 952 lateral faces of , 952 quadrangular , 952 regular , 952 slant height of , 952 spherical , 1152 triangular , 952 truncated , 952 vertex of , 952 Quadrangular ...
Σελίδα 320
... is the figure formed by its intersection with a plane passing through it . 1 A curve is convex if a straight line can intersect it in only two points . PROPOSITION I. THEOREM 995. The bases of a cylinder are 320 CYLINDERS AND CONES.
... is the figure formed by its intersection with a plane passing through it . 1 A curve is convex if a straight line can intersect it in only two points . PROPOSITION I. THEOREM 995. The bases of a cylinder are 320 CYLINDERS AND CONES.
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Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
AABC AB² ABC and DEF AC² altitude angle formed angles are equal angles equal apothem bisector bisects chord circum circumference cone Construct a triangle COROLLARY cylinder DEFINITION diagonals diameter dihedral angles divided Draw EFGH equally distant equiangular polygon equilateral triangle equivalent EXERCISE exterior angles Find frustum given circle given line given point hypotenuse inscribed angle isosceles triangle joining the middle lateral area Let ABC Let To Prove line joining medians meet middle points number of sides opposite sides parallel parallelogram parallelopiped perimeter perpendicular point of intersection polyhedron prism prolonged PROPOSITION Prove ABCD pyramid quadrilateral radii radius rectangle regular inscribed regular polygon rhombus right angles right-angled triangle SCHOLIUM secants segments Show similar polygons slant height sphere spherical square straight line surface tangent tetrahedron THEOREM trapezoid triangle ABC trihedral unequal vertex vertical angle volume Whence
Δημοφιλή αποσπάσματα
Σελίδα 167 - If two polygons are composed of the same number of triangles, similar each to each and similarly placed, the polygons are similar.
Σελίδα 139 - A line parallel to one side of a triangle divides the other two sides proportionally.
Σελίδα 187 - Any two rectangles are to each other as the products of their bases by their altitudes.
Σελίδα 202 - 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 diminished by twice the product of one of those sides and the projection of the other upon that side.
Σελίδα 180 - In an inscribed quadrilateral, the product of the diagonals is equal to the sum of the products of the opposite sides.
Σελίδα 90 - In the same circle, or in equal circles, equal chords are equally distant from the center; and, conversely, chords equally distant from the center are equal.
Σελίδα 195 - Since similar triangles are to each other as the squares of their homologous sides, ABC : DBE : : AB' : BD3 ; whence BD = AB J ^5| ~ AB A/— ^ — . j A150 f in -f- n The construction of Fig.
Σελίδα 129 - To express that the ratio of A to B is equal to the ratio of C to D, we write the quantities thus : A : B : : C : D ; and read, A is to B as C to D.
Σελίδα 15 - If two triangles have two sides and the included angle of one equal respectively to two sides and the included angle of the other, the triangles are equal.
Σελίδα 17 - If two triangles have two angles and the included side of one equal respectively to two angles and the included side of the other, the triangles are congruent.