The Elements of Solid GeometryLeach, Shewell & Sanborn, 1893 - 95 σελίδες |
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Αποτελέσματα 1 - 5 από τα 35.
Σελίδα
... surfaces of solids , demonstrated in the preceding sections . Also , methods for finding the volumes of the Regular Polyedron , the Wedge , and the Prismoid are deduced . iii For the purpose of bringing the important theorems ast near.
... surfaces of solids , demonstrated in the preceding sections . Also , methods for finding the volumes of the Regular Polyedron , the Wedge , and the Prismoid are deduced . iii For the purpose of bringing the important theorems ast near.
Σελίδα
... SURFACES . PRISMS AND CYLINDERS PYRAMIDS AND CONES THE SPHERE . THE REGULAR POLYEDRON THE WEDGE THE PRISMOID MISCELLANEOUS EXERCISES THEOREMS OF PLANE GEOMETRY X X X X 8 ∞88 81 82 83 84 85 87 89 93 THE ELEMENTS OF SOLID GEOMETRY ...
... SURFACES . PRISMS AND CYLINDERS PYRAMIDS AND CONES THE SPHERE . THE REGULAR POLYEDRON THE WEDGE THE PRISMOID MISCELLANEOUS EXERCISES THEOREMS OF PLANE GEOMETRY X X X X 8 ∞88 81 82 83 84 85 87 89 93 THE ELEMENTS OF SOLID GEOMETRY ...
Σελίδα 1
... surface such that , if a straight line be passed through any two of its points , the line will lie wholly in the surface . When a line lies wholly in a plane , it may be said of the plane that it passes through the line . 2. The ...
... surface such that , if a straight line be passed through any two of its points , the line will lie wholly in the surface . When a line lies wholly in a plane , it may be said of the plane that it passes through the line . 2. The ...
Σελίδα 17
... surfaces . A solid bounded by planes is called a polyedron . The bounding planes are called faces . The intersections ... surface is the sum of the lateral faces . 54. The lateral edges are the parallel edges . 55. Prisms are named from ...
... surfaces . A solid bounded by planes is called a polyedron . The bounding planes are called faces . The intersections ... surface is the sum of the lateral faces . 54. The lateral edges are the parallel edges . 55. Prisms are named from ...
Σελίδα 25
... surface is a curved surface generated by a line moving parallel to a given fixed line and continually touching a guiding curve , the curve and the fixed line not lying in the same plane . The generating line in any position is termed an ...
... surface is a curved surface generated by a line moving parallel to a given fixed line and continually touching a guiding curve , the curve and the fixed line not lying in the same plane . The generating line in any position is termed an ...
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.