Essentials of Solid Geometry |
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Αποτελέσματα 1 - 5 από τα 26.
Σελίδα 57
The figure at the right shows a prism . The parallel polygons are called the bases
of the prism , the parallelograms are called the lateral faces , and the
intersections of the lateral faces are called the lateral edges . The lateral edges of
a prism ...
The figure at the right shows a prism . The parallel polygons are called the bases
of the prism , the parallelograms are called the lateral faces , and the
intersections of the lateral faces are called the lateral edges . The lateral edges of
a prism ...
Σελίδα 58
A prism whose lateral edges are perpendicular to its bases is called a right prism
. The first of the figures below shows a right prism . The lateral edges of a right
prism are equal to the altitude ( $ 58 ) . 88. Oblique Prism . A prism whose lateral
...
A prism whose lateral edges are perpendicular to its bases is called a right prism
. The first of the figures below shows a right prism . The lateral edges of a right
prism are equal to the altitude ( $ 58 ) . 88. Oblique Prism . A prism whose lateral
...
Σελίδα 59
The sections of a prism made by parallel planes cutting all the lateral edges are
congruent polygons . R A ' А. D ' JE B ) D P Proposition 2. Lateral Area 93.
Theorem . The lateral area. Given the prism PR and the sections AD and A'D '
made by ...
The sections of a prism made by parallel planes cutting all the lateral edges are
congruent polygons . R A ' А. D ' JE B ) D P Proposition 2. Lateral Area 93.
Theorem . The lateral area. Given the prism PR and the sections AD and A'D '
made by ...
Σελίδα 61
The lateral area of a right prism is the product of the altitude and the perimeter of
the base . 2. ... Find the lateral areas of the prisms whose lateral edges ( e ) and
perimeters ( p ) of right sections are as follows : 10. e = 15 in . , p = 28 in .
The lateral area of a right prism is the product of the altitude and the perimeter of
the base . 2. ... Find the lateral areas of the prisms whose lateral edges ( e ) and
perimeters ( p ) of right sections are as follows : 10. e = 15 in . , p = 28 in .
Σελίδα 63
An oblique prism is equivalent to a right prism whose base is equal to a right
section of the oblique prism , and whose altitude is equal to a lateral edge of the
oblique prism . J ' A JE F. B. G A E D B С Given FI , a rt . section of the oblique
prism ...
An oblique prism is equivalent to a right prism whose base is equal to a right
section of the oblique prism , and whose altitude is equal to a lateral edge of the
oblique prism . J ' A JE F. B. G A E D B С Given FI , a rt . section of the oblique
prism ...
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Συχνά εμφανιζόμενοι όροι και φράσεις
altitude base called chord circle circular cone circumscribed common compute cone cone of revolution congruent Consider construct Corollary corresponding cube cubic cylinder determine diagonal diameter dihedral angles dimensions distance divided Draw drawn edges equal equivalent Exercises faces figure Find the area Find the volume follows formed formula four frustum geometry given given line greater Hence inches included inscribed intersection lateral area lateral edges lateral faces length locus lune measured meet oblique opposite parallel parallel planes pass perpendicular plane pole polyhedron prism projection Proof proportional Proposition Prove pyramid radii radius regular pyramid respectively segment shown shows sides similar Similarly slant height solid sphere spherical spherical triangle square straight line student surface symmetric tangent tetrahedron Theorem third total surface triangle triangular trihedral unit vertex vertices volume zone
Δημοφιλή αποσπάσματα
Σελίδα 7 - The line joining the midpoints of two sides of a triangle is parallel to the third side and equal to one-half of it.
Σελίδα 40 - A line which joins the midpoints of two sides of a triangle is parallel to the third side and equal to half of it.
Σελίδα 176 - 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 10 - 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. Given A ABC and A'B'C...
Σελίδα 15 - In any triangle, the square of the side opposite an acute angle is equal to the sum of the squares of the other two sides diminished by twice the product of one of those sides and the projection of the other upon that side.
Σελίδα 77 - The height of a cone is the perpendicular distance from the vertex to the plane of the base.
Σελίδα 3 - If the first of three quantities is greater than the second, and the second is greater than the third, then the first is greater than the third.
Σελίδα 24 - 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 16 - If two chords intersect in a circle, the product of the segments of one is equal to the product of the segments of the other.
Σελίδα 15 - The sum of the squares of two sides of a triangle is equal to twice the square of half the third side increased by twice the square of the median upon that side.
Πληροφορίες βιβλιογραφίας
| Τίτλος | Essentials of Solid Geometry Wentworth-Smith mathematical series |
| Συγγραφέας | David Eugene Smith |
| Εκδότης | Ginn & Company, 1924 |
| Πρωτότυπο από | το Πανεπιστήμιο της Καλιφόρνια |
| Ψηφιοποιήθηκε στις | 30 Νοεμ. 2007 |
| Μέγεθος | 238 σελίδες |
| Εξαγωγή αναφοράς | BiBTeX EndNote RefMan |