The Elements of Plane and Solid Geometry ...D. Van Nostrand Company, 1890 - 393 páginas |
Dentro del libro
Resultados 1-5 de 15
Página 247
... height of the mountain . PROBLEMS . Ans . 6270 feet . 51. To circumscribe a square about a given circle . 52. To inscribe a regular octagon in a given square . 53. Given the base of a triangle , the difference of its sides , and the ...
... height of the mountain . PROBLEMS . Ans . 6270 feet . 51. To circumscribe a square about a given circle . 52. To inscribe a regular octagon in a given square . 53. Given the base of a triangle , the difference of its sides , and the ...
Página 326
... height of an equivalent regular pyramid whose base is 10 feet square . Proposition 28. Theorem . * 656. The sum of the face - angles of any polyedron is equal to four right angles taken as many times as the poly- edral has vertices less ...
... height of an equivalent regular pyramid whose base is 10 feet square . Proposition 28. Theorem . * 656. The sum of the face - angles of any polyedron is equal to four right angles taken as many times as the poly- edral has vertices less ...
Página 331
... height of the pyramid if the lateral area is eight times the area of the base . 55. Find the total surface of a regular pyramid , ( 1 ) when each side of its square base is 12 feet , and the slant height is 24 feet ; ( 2 ) when each ...
... height of the pyramid if the lateral area is eight times the area of the base . 55. Find the total surface of a regular pyramid , ( 1 ) when each side of its square base is 12 feet , and the slant height is 24 feet ; ( 2 ) when each ...
Página 333
Edward Albert Bowser. height 11 feet , length at top 1020 yards , at base 960 yards : find its volume . 69. The altitude ... height of the frustum of a pyramid is 16 inches , and two homologous edges of its bases are 8 and 6 inches : find ...
Edward Albert Bowser. height 11 feet , length at top 1020 yards , at base 960 yards : find its volume . 69. The altitude ... height of the frustum of a pyramid is 16 inches , and two homologous edges of its bases are 8 and 6 inches : find ...
Página 374
... height . Hyp . Let S , C , L denote the lateral area of the cone , the Oce of its base , and its slant height , respectively . To prove S = CXL . S Proof . Inscribe in the cone a pyramid S - ABCD , having a regular base of any number of ...
... height . Hyp . Let S , C , L denote the lateral area of the cone , the Oce of its base , and its slant height , respectively . To prove S = CXL . S Proof . Inscribe in the cone a pyramid S - ABCD , having a regular base of any number of ...
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Otras ediciones - Ver todas
ELEMENTS OF PLANE & SOLID GEOM Edward a. (Edward Albert) 1845 Bowser Sin vista previa disponible - 2016 |
ELEMENTS OF PLANE & SOLID GEOM Edward a. (Edward Albert) 1845 Bowser Sin vista previa disponible - 2016 |
Términos y frases comunes
ABCD adjacent angles altitude angles are equal base bisect bisector centre chord circumference circumscribed coincide cone of revolution Cons construct cylinder diagonals diameter diedral angle distance divided draw equally distant equilateral triangle equivalent EXERCISES exterior angle faces feet Find the area Find the volume frustum given circle given line given point given straight line homologous homologous sides hypotenuse inches intersection isosceles triangle lateral area lateral edges Let ABC meet middle point number of sides parallel parallelogram parallelopiped perimeter perpendicular plane MN polyedron prism produced Proposition Proposition 13 prove Proof pyramid quadrilateral radii radius ratio rectangle rectangular parallelopiped regular inscribed regular polygon right angles segment similar slant height sphere spherical polygon spherical triangle square surface symmetrical tangent tetraedron Theorem triangle ABC triangular prism triedral vertex
Pasajes populares
Página 74 - A circle is a plane figure bounded by a curved line, called the circumference, every point of which is equally distant from a point within called the center.
Página 188 - Two triangles having an angle of the one equal to an angle of the other are to each other as the products of the sides including the equal angles.
Página 45 - If two triangles have two sides of the one equal respectively to two sides of the other, but the included angle of the first greater than the included angle of the second, then the third side of the first is greater than the third side of the second. Hyp. In A ABC and A'B'C' AB = A'B'; AC = A'C'; ZA>ZA'.
Página 137 - Terms of the proportion. The first and fourth terms are called the Extremes, and the second and third the Means.
Página 12 - AXIOMS. 1. Things which are equal to the same thing are equal to each other. 2. If equals be added to equals, the sums will be equal.
Página 57 - The straight line joining the middle points of two sides of a triangle is parallel to the third side, and equal to half of it.
Página 334 - A sphere is a solid bounded by a curved surface, every point of which is equally distant from a point within called the center.
Página 253 - Equal oblique lines from a point to a plane meet the plane at equal distances from the foot of the perpendicular ; and of two unequal oblique lines the greater meets the plane at the greater distance from the foot of the perpendicular.
Página 378 - The circumferences of the sections made by the planes are called the bases of the zone, and the distance between the planes is the altitude of the zone.