The Elements of Solid GeometryLeach, Shewell & Sanborn, 1893 - 95 σελίδες |
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Αποτελέσματα 1 - 5 από τα 15.
Σελίδα 17
... edges . The points in which the edges meet are called vertices . 52. A prism is a polyedron whose edges are all ... lateral faces . 53. The lateral surface is the sum of the lateral faces . 54. The lateral edges are the parallel edges ...
... edges . The points in which the edges meet are called vertices . 52. A prism is a polyedron whose edges are all ... lateral faces . 53. The lateral surface is the sum of the lateral faces . 54. The lateral edges are the parallel edges ...
Σελίδα 18
... lateral edges are equal to each other . 60 . The lateral faces are parallelograms . 61 . The bases are equal polygons . B 62 . Parallel sections cutting all D D G E E ' the lateral edges are equal . 63. Right sections are equal . 64 ...
... lateral edges are equal to each other . 60 . The lateral faces are parallelograms . 61 . The bases are equal polygons . B 62 . Parallel sections cutting all D D G E E ' the lateral edges are equal . 63. Right sections are equal . 64 ...
Σελίδα 22
... lateral edge of the oblique parallelopiped . R E F N H A B L M V K Let AF be an oblique parallelopiped . Produce its hori- zontal edges AB , CD , HG , and EF . On one of these lay off JK equal to CD ; and pass through the points J and K ...
... lateral edge of the oblique parallelopiped . R E F N H A B L M V K Let AF be an oblique parallelopiped . Produce its hori- zontal edges AB , CD , HG , and EF . On one of these lay off JK equal to CD ; and pass through the points J and K ...
Σελίδα 23
... lateral edge of the oblique prism . 78 . COROLLARY 2. If a cuboid and a parallelopiped have equivalent bases and equal altitudes , they are equal to each other in volume . Produce the edges LQ , JN , MP , and KO ; lay off OS equal to KO ...
... lateral edge of the oblique prism . 78 . COROLLARY 2. If a cuboid and a parallelopiped have equivalent bases and equal altitudes , they are equal to each other in volume . Produce the edges LQ , JN , MP , and KO ; lay off OS equal to KO ...
Σελίδα 26
... edges of the prism then become elements of the surface of the cylinder . FC is a prism inscribed in the cylinder FC . 88. A cylinder may be regarded as the limiting case of an inscribed prism , when the number of lateral ... lateral faces be ...
... edges of the prism then become elements of the surface of the cylinder . FC is a prism inscribed in the cylinder FC . 88. A cylinder may be regarded as the limiting case of an inscribed prism , when the number of lateral ... lateral faces be ...
Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
ABC and DEF ABC-B altitude are equal axis base and altitude bases are equal bisecting centre circle circumference coincide common altitude common vertex conical surface COROLLARY cube cuboid DEFINITIONS diameter dicular diedral angle EDC-O equal with respect equivalent faces is called feet Find the volume frustum Hence inscribed prism intersection lateral edges lateral faces lateral surface Let the line line BA lune MN and PQ mutually equal O-ABCD oblique parallelopiped parallel planes parallelogram pass perimeter perpen perpendicular to MN plane angle plane MN plane PQ polar triangle polyedral angle prisms whose bases radii radius regular polyedrons regular polygon right angles right circular cone right prism right section SCHOLIUM sides slant height sphere spherical angle spherical excess spherical polygon spherical triangle straight line tetraedron THEOREM triangles ABC triangular prism triangular pyramids triedral
Δημοφιλή αποσπάσματα
Σελίδα 48 - Assuming that the areas of two triangles which have 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...
Σελίδα 46 - Similar cylinders are to each other as the cubes of their altitudes, or as the cubes of the diameters of their bases.
Σελίδα 4 - If a straight line is perpendicular to each of two other straight lines at their point of intersection, it is perpendicular to the plane of the two lines.
Σελίδα 49 - 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 94 - Two triangles are equal if two sides and the included angle of the one are equal respectively to two sides and the included angle of the other (sas = sas). Hyp. In A ABC and A'B'C', AB = A'B', BC = B'C', and Z B = Z B'.
Σελίδα 46 - The lateral areas, or the total -areas, of two similar cones of revolution are to each other as the squares of their altitudes...
Σελίδα 6 - Theorem: If a straight line is perpendicular to one of two parallel planes, it is perpendicular, also, to the other plane.
Σελίδα 9 - ... meeting the plane at unequal distances from the foot of the perpendicular the more remote is the greater.
Σελίδα 56 - A spherical angle is measured by the arc of a great circle described from its vertex as a pole, and included between its sides, produced if necessary.