Essentials of Solid GeometryGinn & Company, 1924 - 238 σελίδες |
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Αποτελέσματα 6 - 10 από τα 34.
Σελίδα 63
... lateral edge of the oblique prism . F ཎ་ A HE F B. G E B C Given FI , a rt . section of the oblique prism AD ' , and ... edges of AD ' and FI ' ( § 87 ) the lateral edges of FD ' , which are common to both , we have AF = A'F ' , BG = B'G ...
... lateral edge of the oblique prism . F ཎ་ A HE F B. G E B C Given FI , a rt . section of the oblique prism AD ' , and ... edges of AD ' and FI ' ( § 87 ) the lateral edges of FD ' , which are common to both , we have AF = A'F ' , BG = B'G ...
Σελίδα 64
... edges perpendicular to the bases is called a right parallelepiped . 100 ... lateral faces of this solid are also rectangles . The terms parallelepiped ... Faces 102. Theorem . The opposite faces. 64 BOOK VII PRISMS.
... edges perpendicular to the bases is called a right parallelepiped . 100 ... lateral faces of this solid are also rectangles . The terms parallelepiped ... Faces 102. Theorem . The opposite faces. 64 BOOK VII PRISMS.
Σελίδα 65
... lateral faces of a rectangular parallelepiped are rectangles , and its four diagonals are equal . 3. Compute the lengths of the diagonals of a rectangular parallelepiped whose edges meeting at any vertex are a , b , c . 4. Every section ...
... lateral faces of a rectangular parallelepiped are rectangles , and its four diagonals are equal . 3. Compute the lengths of the diagonals of a rectangular parallelepiped whose edges meeting at any vertex are a , b , c . 4. Every section ...
Σελίδα 75
... lateral face and the distance of this face from the opposite edge . 4. The edge of a cube is e . Write a formula for the sum of the edges ; for the area of the total surface ; for the diagonal of the cube . 5. The edge of a cube is e ...
... lateral face and the distance of this face from the opposite edge . 4. The edge of a cube is e . Write a formula for the sum of the edges ; for the area of the total surface ; for the diagonal of the cube . 5. The edge of a cube is e ...
Σελίδα 77
... lateral edges , and their common vertex is called the vertex of the pyramid . In our work we shall con- sider only pyramids whose bases are convex polygons . The sum of the areas of the lateral faces is called the lateral area of the ...
... lateral edges , and their common vertex is called the vertex of the pyramid . In our work we shall con- sider only pyramids whose bases are convex polygons . The sum of the areas of the lateral faces is called the lateral area of the ...
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.