Essentials of Solid Geometry |
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Αποτελέσματα 1 - 5 από τα 33.
Σελίδα 9
12-15 INEQUALITIES 9 14. Perpendiculars and Obliques . 1. The sum of two line
segments from a given external point to the ends of a given line segment is
greater than the sum of two other line segments similarly drawn but included by
them ...
12-15 INEQUALITIES 9 14. Perpendiculars and Obliques . 1. The sum of two line
segments from a given external point to the ends of a given line segment is
greater than the sum of two other line segments similarly drawn but included by
them ...
Σελίδα 17
If two polygons are similar , they can be separated into the same number of
triangles , similar each to each and similarly placed , and conversely . 9. The
perimeters of two similar polygons have the same ratio as any two corresponding
sides .
If two polygons are similar , they can be separated into the same number of
triangles , similar each to each and similarly placed , and conversely . 9. The
perimeters of two similar polygons have the same ratio as any two corresponding
sides .
Σελίδα 21
Similarly , a line is a space of how many and what dimensions ? 2. Explain the
meaning of the statement that a plane passes through a line ; that it cuts or
intersects the line . Draw a figure to illustrate each case . 3. Two lines in a plane
may ...
Similarly , a line is a space of how many and what dimensions ? 2. Explain the
meaning of the statement that a plane passes through a line ; that it cuts or
intersects the line . Draw a figure to illustrate each case . 3. Two lines in a plane
may ...
Σελίδα 23
Parallel to a Plane . If a straight line cannot meet a plane , however far each is
produced , the line is said to be parallel to the plane , and the plane is said to be
parallel to the line . Similarly , if one plane cannot meet another plane , however
far ...
Parallel to a Plane . If a straight line cannot meet a plane , however far each is
produced , the line is said to be parallel to the plane , and the plane is said to be
parallel to the line . Similarly , if one plane cannot meet another plane , however
far ...
Σελίδα 25
Hence OA lies in m , and similarly for OB , OC , ... $ 3,9 39. Corollary . Through a
given internal point there can be one and only one plane perpendicular to a
given line . 40. Corollary . Through a given external point there can be one and
only ...
Hence OA lies in m , and similarly for OB , OC , ... $ 3,9 39. Corollary . Through a
given internal point there can be one and only one plane perpendicular to a
given line . 40. Corollary . Through a given external point there can be one and
only ...
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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 |