Essentials of Solid Geometry |
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Αποτελέσματα 1 - 5 από τα 65.
Σελίδα
Const . construction tends to Def . definition parallel Cor . corollary 1
perpendicular Iden . identical There is no generally accepted symbol for " is
congruent to . ” The sign = is commonly employed , the context telling whether
equality ...
Const . construction tends to Def . definition parallel Cor . corollary 1
perpendicular Iden . identical There is no generally accepted symbol for " is
congruent to . ” The sign = is commonly employed , the context telling whether
equality ...
Σελίδα 2
Either of two lines is perpendicular to the other if one meets the other so as to
make a right angle with it. Remember that any definition may be inverted. 5.
Equal angles are angles which can be placed one on the other so that they
coincide. 6.
Either of two lines is perpendicular to the other if one meets the other so as to
make a right angle with it. Remember that any definition may be inverted. 5.
Equal angles are angles which can be placed one on the other so that they
coincide. 6.
Σελίδα 4
There is one and only one line which, passing through a given point, is
perpendicular to a given line. 6. Wertical Angles. If two lines intersect, the vertical
angles are equal. 7. Congruent Triangles. 1. Congruent figures are figures which
can be ...
There is one and only one line which, passing through a given point, is
perpendicular to a given line. 6. Wertical Angles. If two lines intersect, the vertical
angles are equal. 7. Congruent Triangles. 1. Congruent figures are figures which
can be ...
Σελίδα 6
... the two interior angles on the same side of the transversal are supplementary.
7. If a line is perpendicular to one of two parallel lines, it is perpendicular to the
other also. This proposition may be considered a special case of number 6,
above.
... the two interior angles on the same side of the transversal are supplementary.
7. If a line is perpendicular to one of two parallel lines, it is perpendicular to the
other also. This proposition may be considered a special case of number 6,
above.
Σελίδα 8
13. Fundamental Constructions. 1. Through a given point on a given straightline
construct a perpendicular to the line. While there are many other constructions of
plane geometry, those given here are sufficient for the needs of solid geometry, ...
13. Fundamental Constructions. 1. Through a given point on a given straightline
construct a perpendicular to the line. While there are many other constructions of
plane geometry, those given here are sufficient for the needs of solid geometry, ...
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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 |