The Elements of Solid GeometryLeach, Shewell & Sanborn, 1893 - 95 σελίδες |
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Αποτελέσματα 1 - 5 από τα 21.
Σελίδα 10
... vertex is at A and whose sides are in DF and DE respectively , CAB is taken as the measure of F - GD - E . Construct a second plane angle C'A'B ' , as before ; then CAB is equal to C'A'B ' . . . ( 19 ) . PROPOSITION IX . 31. THEOREM ...
... vertex is at A and whose sides are in DF and DE respectively , CAB is taken as the measure of F - GD - E . Construct a second plane angle C'A'B ' , as before ; then CAB is equal to C'A'B ' . . . ( 19 ) . PROPOSITION IX . 31. THEOREM ...
Σελίδα 11
... 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- ing a common ...
... 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- ing a common ...
Σελίδα 14
... vertex is O is greater than the sum of the angles at the bases of the triangles whose common vertex is O ' . But the sum of all the angles of the triangles whose com- mon vertex is O equals the sum of all the angles of the triangles ...
... vertex is O is greater than the sum of the angles at the bases of the triangles whose common vertex is O ' . But the sum of all the angles of the triangles whose com- mon vertex is O equals the sum of all the angles of the triangles ...
Σελίδα 17
... vertices . 52. A prism is a polyedron whose edges are all parallel , except those formed by two parallel faces cutting all the other faces . The parallel faces are called bases ; all others are called lateral faces . 53. The lateral ...
... vertices . 52. A prism is a polyedron whose edges are all parallel , except those formed by two parallel faces cutting all the other faces . The parallel faces are called bases ; all others are called lateral faces . 53. The lateral ...
Σελίδα 24
... vertex E to vertex G , is a diagonal . Hence the triangle EFG equals the triangle EHG . ( 359. ) The prisms ABC - B ′ and ADC - D ' are equivalent , respec- tively , to those right prisms whose bases are the right sec- tions EFG and EHG ...
... vertex E to vertex G , is a diagonal . Hence the triangle EFG equals the triangle EHG . ( 359. ) The prisms ABC - B ′ and ADC - D ' are equivalent , respec- tively , to those right prisms whose bases are the right sec- tions EFG and EHG ...
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.