Essentials of Solid GeometryGinn & Company, 1924 - 238 σελίδες |
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Σελίδα 61
... inches are to be covered ? 3. The right section of an iron rod 8 ft . long is an equi- lateral triangle whose area is √3 sq . in . If the lateral sur- face is enameled , how many square inches are covered ? 4. The lateral surface of an ...
... inches are to be covered ? 3. The right section of an iron rod 8 ft . long is an equi- lateral triangle whose area is √3 sq . in . If the lateral sur- face is enameled , how many square inches are covered ? 4. The lateral surface of an ...
Σελίδα 71
... inches by 26 inches , and 26 inches by 3 a inches respectively . 9. Find the volume of a rectangular parallelepiped / feet long , w inches wide , and h yards high , expressing the result as cubic inches ; as cubic feet ; as cubic yards ...
... inches by 26 inches , and 26 inches by 3 a inches respectively . 9. Find the volume of a rectangular parallelepiped / feet long , w inches wide , and h yards high , expressing the result as cubic inches ; as cubic feet ; as cubic yards ...
Σελίδα 72
... inches ? 4. The inside dimensions of a covered box , made of steel in . thick and weighing 490 lb. per cubic foot , are 16 in . , 9 in . , and 4 in . Find the total weight of the box . 5. A steel bar 6 ft . long is 2 in . wide and 1 in ...
... inches ? 4. The inside dimensions of a covered box , made of steel in . thick and weighing 490 lb. per cubic foot , are 16 in . , 9 in . , and 4 in . Find the total weight of the box . 5. A steel bar 6 ft . long is 2 in . wide and 1 in ...
Σελίδα 90
... inches , y inches , and z inches . Find x , y , and z . 7. A schoolroom 30 ft . long , 24 ft . wide , and 14 ft . high is ventilated by an electric fan which discharges every 20 min . a volume of air equal to the volume of the room ...
... inches , y inches , and z inches . Find x , y , and z . 7. A schoolroom 30 ft . long , 24 ft . wide , and 14 ft . high is ventilated by an electric fan which discharges every 20 min . a volume of air equal to the volume of the room ...
Σελίδα 115
... inch pipe , 36 ft . of 3 - inch pipe , and 6 ft . of 44 - inch feed pipe . Find the area of the total heating sur- face to the nearest square foot . 5. A triangular plate of wrought iron in . thick is 3 ft . 4 in . on each side . If the ...
... inch pipe , 36 ft . of 3 - inch pipe , and 6 ft . of 44 - inch feed pipe . Find the area of the total heating sur- face to the nearest square foot . 5. A triangular plate of wrought iron in . thick is 3 ft . 4 in . on each side . If 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.