Essentials of Solid Geometry |
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Αποτελέσματα 1 - 5 από τα 41.
Σελίδα 1
... grouped in a convenient manner, as are necessary for this purpose. The
definitions of such familiar terms as vertex, side, altitude, radius, diameter, and so
on are omitted. 3. Preliminary Definitions. 1. An angle is a figure formed 1 LINES
AND ...
... grouped in a convenient manner, as are necessary for this purpose. The
definitions of such familiar terms as vertex, side, altitude, radius, diameter, and so
on are omitted. 3. Preliminary Definitions. 1. An angle is a figure formed 1 LINES
AND ...
Σελίδα 2
Preliminary Definitions. 1. An angle is a figure formed by two rays which proceed
from the same point. The term ray is applied to a straight line which begins at a
certain point and extends indefinitely. 2. A straight angle is an angle whose arms
...
Preliminary Definitions. 1. An angle is a figure formed by two rays which proceed
from the same point. The term ray is applied to a straight line which begins at a
certain point and extends indefinitely. 2. A straight angle is an angle whose arms
...
Σελίδα 12
An angle formed by a tangent and a chord drawn from the point of contact is
measured by half its intercepted arc. 6. An angle formed by two chords
intersecting within a circle is measured by half the sum of its intercepted arc and
that of its ...
An angle formed by a tangent and a chord drawn from the point of contact is
measured by half its intercepted arc. 6. An angle formed by two chords
intersecting within a circle is measured by half the sum of its intercepted arc and
that of its ...
Σελίδα 13
An angle formed by two secants , by a secant and a tangent , or by two tangents
drawn to a circle from an external point is measured by half the difference
between its intercepted arcs . 19. Loci . 1. To prove that a line or group of lines is
a locus ...
An angle formed by two secants , by a secant and a tangent , or by two tangents
drawn to a circle from an external point is measured by half the difference
between its intercepted arcs . 19. Loci . 1. To prove that a line or group of lines is
a locus ...
Σελίδα 17
... as the products of their bases and altitudes ; and similarly for parallelograms
and triangles . 2. If an angle of one triangle is equal to an angle of another , the
triangles are to each other as the products of the sides forming the equal angles .
3.
... as the products of their bases and altitudes ; and similarly for parallelograms
and triangles . 2. If an angle of one triangle is equal to an angle of another , the
triangles are to each other as the products of the sides forming the equal angles .
3.
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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.
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 |