The Elements of Solid GeometryLeach, Shewell & Sanborn, 1893 - 95 σελίδες |
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Αποτελέσματα 1 - 5 από τα 14.
Σελίδα 1
... called the foot of the line . 4. A line is perpendicular to a plane when it is perpen- dicular to every line of the plane , passing through its foot . And the plane is then perpendicular to the line . 5. Planes are parallel if they do ...
... called the foot of the line . 4. A line is perpendicular to a plane when it is perpen- dicular to every line of the plane , passing through its foot . And the plane is then perpendicular to the line . 5. Planes are parallel if they do ...
Σελίδα 9
... called the edge of the angle ; the planes themselves are called the faces of the angle . 30. Lines drawn in the faces of a diedral angle perpen- dicular to the edge and from the same point in it , form a plane angle which is taken as ...
... called the edge of the angle ; the planes themselves are called the faces of the angle . 30. Lines drawn in the faces of a diedral angle perpen- dicular to the edge and from the same point in it , form a plane angle which is taken as ...
Σελίδα 11
... called the vertex of the angle . The lines in which the planes meet are called the edges of the angle . Those portions of planes which lie between the edges are termed the faces . 37. The plane angles lying between the edges and hav ...
... called the vertex of the angle . The lines in which the planes meet are called the edges of the angle . Those portions of planes which lie between the edges are termed the faces . 37. The plane angles lying between the edges and hav ...
Σελίδα 12
... called the parts of the polyedral angle . 39. Two polyedral angles in which all the parts of the one are equal to all the parts of the other , each to each , are said to be mutually equal in all their parts , or , with re- spect to all ...
... called the parts of the polyedral angle . 39. Two polyedral angles in which all the parts of the one are equal to all the parts of the other , each to each , are said to be mutually equal in all their parts , or , with re- spect to all ...
Σελίδα 17
... called a polyedron . The bounding planes are called faces . The intersections of the faces are called edges . The points in which the edges meet are called vertices . 52. A prism is a polyedron whose edges are all parallel , except ...
... called a polyedron . The bounding planes are called faces . The intersections of the faces are called edges . The points in which the edges meet are called vertices . 52. A prism is a polyedron whose edges are all parallel , except ...
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.