Essentials of Solid Geometry |
Αναζήτηση στο βιβλίο
Αποτελέσματα 1 - 5 από τα 26.
Σελίδα 11
If the vertex of the angle is on the circle, and the sides are chords of the circle, the
angle is an inscribed angle. Of the two arcs cut off on a circle by a chord, the
smaller is called the minor arc and the larger the major arc. The chord is usually ...
If the vertex of the angle is on the circle, and the sides are chords of the circle, the
angle is an inscribed angle. Of the two arcs cut off on a circle by a chord, the
smaller is called the minor arc and the larger the major arc. The chord is usually ...
Σελίδα 12
1. A central angle is measured by its intercepted arc. 2. An inscribed angle is
measured by half its intercepted arc. 3. An angle inscribed in a semicircle is a
right angle. 4. Angles inscribed in the same segment or in equal segments are
equal. 5.
1. A central angle is measured by its intercepted arc. 2. An inscribed angle is
measured by half its intercepted arc. 3. An angle inscribed in a semicircle is a
right angle. 4. Angles inscribed in the same segment or in equal segments are
equal. 5.
Σελίδα 18
The areas of two similar polygons are to each other as the squares of any two
corresponding sides; and if the polygons are regular, to the squares of the radii of
either the inscribed or the circumscribed circles. 4. The areas of two circles are to
...
The areas of two similar polygons are to each other as the squares of any two
corresponding sides; and if the polygons are regular, to the squares of the radii of
either the inscribed or the circumscribed circles. 4. The areas of two circles are to
...
Σελίδα 87
Find the volume of a regular pyramid whose slant height is 12 ft . and whose
base is an equilateral triangle inscribed in a circle 10 ft . in radius . 11. The eight
edges of a regular pyramid with a square base are equal and the area of the total
...
Find the volume of a regular pyramid whose slant height is 12 ft . and whose
base is an equilateral triangle inscribed in a circle 10 ft . in radius . 11. The eight
edges of a regular pyramid with a square base are equal and the area of the total
...
Σελίδα 98
Inscribed Prism . A prism whose lateral edges are elements of a cylinder and
whose bases are inscribed in the bases of the cylinder is called an inscribed
prism . The first figure above shows an inscribed prism . The cylinder is said to be
...
Inscribed Prism . A prism whose lateral edges are elements of a cylinder and
whose bases are inscribed in the bases of the cylinder is called an inscribed
prism . The first figure above shows an inscribed prism . The cylinder is said to be
...
Τι λένε οι χρήστες - Σύνταξη κριτικής
Δεν εντοπίσαμε κριτικές στις συνήθεις τοποθεσίες.
Συχνά εμφανιζόμενοι όροι και φράσεις
altitude base called chord circle circumscribed common compute cone congruent Consider construct Corollary corresponding cube cubic cylinder determine diagonal diameter dihedral angles dimensions distance divided Draw drawn edges equal equilateral 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 polar pole polyhedral angles 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.