The Elements of Plane and Solid Geometry ...D. Van Nostrand Company, 1890 - 393 páginas |
Dentro del libro
Resultados 1-5 de 24
Página vii
... Pyramids ... Similar Polyedrons .. 302 316 Regular Polyedrons . General Properties of Polyedrons .. Exercises . Theorems .... Numerical Exercises 319 325 327 329 Problems .. 333 BOOK VIII . THE SPHERE . Circles of the Sphere and Tangent ...
... Pyramids ... Similar Polyedrons .. 302 316 Regular Polyedrons . General Properties of Polyedrons .. Exercises . Theorems .... Numerical Exercises 319 325 327 329 Problems .. 333 BOOK VIII . THE SPHERE . Circles of the Sphere and Tangent ...
Página 301
... PYRAMIDS . DEFINITIONS . 614. A pyramid is a polyedron BOOK VII . - VOLUME OF A PRISM . 301.
... PYRAMIDS . DEFINITIONS . 614. A pyramid is a polyedron BOOK VII . - VOLUME OF A PRISM . 301.
Página 302
Edward Albert Bowser. PYRAMIDS . DEFINITIONS . 614. A pyramid is a polyedron bounded by a polygon , and by triangles meeting at a common point , the sides of the polygon being the bases of the triangles . The polygon ABCDE is called the ...
Edward Albert Bowser. PYRAMIDS . DEFINITIONS . 614. A pyramid is a polyedron bounded by a polygon , and by triangles meeting at a common point , the sides of the polygon being the bases of the triangles . The polygon ABCDE is called the ...
Página 304
Edward Albert Bowser. Proposition 14. Theorem . 623. If a pyramid is cut by a plane parallel to its base : ( 1 ) The edges and the altitude are divided proportionally . ( 2 ) The section is a polygon similar to the base . Hyp . Let S ...
Edward Albert Bowser. Proposition 14. Theorem . 623. If a pyramid is cut by a plane parallel to its base : ( 1 ) The edges and the altitude are divided proportionally . ( 2 ) The section is a polygon similar to the base . Hyp . Let S ...
Página 305
... pyramid are proportional to the squares of their distances from the vertex . 625. Cor . 2. If two pyramids of equal altitudes are cut by planes parallel to their bases , and at equal distances from their vertices , the sections will be ...
... pyramid are proportional to the squares of their distances from the vertex . 625. Cor . 2. If two pyramids of equal altitudes are cut by planes parallel to their bases , and at equal distances from their vertices , the sections will be ...
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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.