Essentials of Solid GeometryGinn & Company, 1924 - 238 σελίδες |
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Αποτελέσματα 1 - 5 από τα 19.
Σελίδα 40
... pole standing obliquely in the tank just reaches from a point on the circumference of the base to a point exactly oppo- site on the upper rim . Find the length of that part of the pole which is under water . 10. Consider Ex . 9 when the ...
... pole standing obliquely in the tank just reaches from a point on the circumference of the base to a point exactly oppo- site on the upper rim . Find the length of that part of the pole which is under water . 10. Consider Ex . 9 when the ...
Σελίδα 45
... pole , a piece of chalk , and a string stands in a room that is 10 ft . high . By the use of these instruments how can he find a point on the floor that is directly below a given point on the ceiling ? 6. If two planes are perpendicular ...
... pole , a piece of chalk , and a string stands in a room that is 10 ft . high . By the use of these instruments how can he find a point on the floor that is directly below a given point on the ceiling ? 6. If two planes are perpendicular ...
Σελίδα 121
... pole of a circle to any point on the circle is called the polar distance of the circle . The spherical distance of a great circle from either of its poles may be taken as the polar distance of the circle . 175. Quadrant . One fourth of ...
... pole of a circle to any point on the circle is called the polar distance of the circle . The spherical distance of a great circle from either of its poles may be taken as the polar distance of the circle . 175. Quadrant . One fourth of ...
Σελίδα 122
... pole of the circle . P P ' S Given A , B , C , any points on a O of the sphere s ; P , P ' , the poles of O ABC ; and PAP ' , PBP ' , PCP ' , arcs of great through A , B , C. Prove that and that arc PA = arc PB = arc PC , = arc P'A arc ...
... pole of the circle . P P ' S Given A , B , C , any points on a O of the sphere s ; P , P ' , the poles of O ABC ; and PAP ' , PBP ' , PCP ' , arcs of great through A , B , C. Prove that and that arc PA = arc PB = arc PC , = arc P'A arc ...
Σελίδα 123
... Poles of a circle . 6. Quadrant . Prove the important properties in Exs . 7-11 : 7. Parallel circles of a sphere have the same poles . 8. All great circles of a ... Pole of a Great Circle 180. Theorem . §§ 178 , 179 123 EQUAL POLAR DISTANCES.
... Poles of a circle . 6. Quadrant . Prove the important properties in Exs . 7-11 : 7. Parallel circles of a sphere have the same poles . 8. All great circles of a ... Pole of a Great Circle 180. Theorem . §§ 178 , 179 123 EQUAL POLAR DISTANCES.
Συχνά εμφανιζόμενοι όροι και φράσεις
AABC ABC and A'B'C altitude altitude h angles are equal axis bisects called chord circle circumscribed cone of revolution congruent conic surface Consider Ex Corollary corresponding cube cubic diagonal diameter dihedral angles distance Draw equivalent Exercises face angles Find the area Find the volume formed formula frustum given line given point Hence inches inscribed intersection isosceles lateral area lateral edges lateral faces line segment locus of points lower base measuring number of degrees oblique opposite parallel planes parallelogram perimeter perpendicular plane geometry plane passing pole polyhedral angles Proof Proposition Prove radii rectangular parallelepiped regular polygon regular polyhedrons regular pyramid right angles right circular cylinder Similarly slant height sphere of radius spherical degrees spherical excess spherical polygon spherical triangle straight line tangent tetrahedron Theorem third side total surface triangular prism trihedral upper base vertex vertices 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.