Elements of Plane and Solid GeometryAmerican Book Company, 1903 - 384 σελίδες |
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Αποτελέσματα 1 - 5 από τα 23.
Σελίδα 213
... lateral and whose area shall be 3 sq . in . ( § 704. ) 706. EXERCISE . Construct an equilateral triangle the area of which shall be three fourths of that of a given square . EXERCISES 1. The diagonal of a rectangle is 13 ft . , one of ...
... lateral and whose area shall be 3 sq . in . ( § 704. ) 706. EXERCISE . Construct an equilateral triangle the area of which shall be three fourths of that of a given square . EXERCISES 1. The diagonal of a rectangle is 13 ft . , one of ...
Σελίδα 214
... lateral triangle to the three sides is equal to the altitude of the triangle ... area of the parallelogram . A 10. ABC is a right - angled triangle , and BD ... area of the triangle , and the length of AD . A D 12. A square is greater ...
... lateral triangle to the three sides is equal to the altitude of the triangle ... area of the parallelogram . A 10. ABC is a right - angled triangle , and BD ... area of the triangle , and the length of AD . A D 12. A square is greater ...
Σελίδα 249
... surface , 994 Hexahedron , 903 regular , 993 Homologous angles , edges , faces , of similar polyhedrons , 981 Icosahedron , 903 regular , 993 Isosceles spherical triangle , 1106 Lateral area , edges , faces , of pyra- mid , 952 of prism ...
... surface , 994 Hexahedron , 903 regular , 993 Homologous angles , edges , faces , of similar polyhedrons , 981 Icosahedron , 903 regular , 993 Isosceles spherical triangle , 1106 Lateral area , edges , faces , of pyra- mid , 952 of prism ...
Σελίδα 250
... 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 prism , 903 pyramid , 952 Radius of sphere , 1056 Regular ...
... 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 prism , 903 pyramid , 952 Radius of sphere , 1056 Regular ...
Σελίδα 286
... section of a prism is a section made by a plane perpendicular to the lateral edges of the prism . The volume of a solid is its measure expressed in terms of some other solid taken as the unit of ... lateral area of a 286 SOLID GEOMETRY.
... section of a prism is a section made by a plane perpendicular to the lateral edges of the prism . The volume of a solid is its measure expressed in terms of some other solid taken as the unit of ... lateral area of a 286 SOLID GEOMETRY.
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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.