Solid GeometryB.H. Sanborn, 1916 - 174 σελίδες |
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Σελίδα 279
... cube . How many squares form the surface of this model ? How many edges has it ? How many corners has it ? 2. On a piece of cardboard , draw a figure similar to the adjoining figure , making the side of each hexagon 2 in . Cut out the ...
... cube . How many squares form the surface of this model ? How many edges has it ? How many corners has it ? 2. On a piece of cardboard , draw a figure similar to the adjoining figure , making the side of each hexagon 2 in . Cut out the ...
Σελίδα 325
... cube . 353. Fundamental properties of a parallelopiped . — The fol- lowing properties of a parallelopiped follow from the defini- tions above . The student should draw figures and reason . out the correctness of each . ( 1 ) The ...
... cube . 353. Fundamental properties of a parallelopiped . — The fol- lowing properties of a parallelopiped follow from the defini- tions above . The student should draw figures and reason . out the correctness of each . ( 1 ) The ...
Σελίδα 326
... cube whose edge is 2 in . 6. If the edge of a cube is e , find the length of a diagonal of the cube . 7. The diagonal of a face of a cube is 3√2 . Find the diagonal of the cube . 8. Are the diagonals of a cube perpendicular to each ...
... cube whose edge is 2 in . 6. If the edge of a cube is e , find the length of a diagonal of the cube . 7. The diagonal of a face of a cube is 3√2 . Find the diagonal of the cube . 8. Are the diagonals of a cube perpendicular to each ...
Σελίδα 328
... cube whose edge is some linear unit . Thus , if a rectangular parallelopiped contains a cube whose edge is 1 unit ex- actly 24 times , and the cube is taken as the unit of measure , the volume of the paral- lelopiped is 24 . If an empty ...
... cube whose edge is some linear unit . Thus , if a rectangular parallelopiped contains a cube whose edge is 1 unit ex- actly 24 times , and the cube is taken as the unit of measure , the volume of the paral- lelopiped is 24 . If an empty ...
Σελίδα 333
... cubes , each having its edge equal to the same linear unit . Hence if one of these cubes is taken as the unit of measure of the parallelopiped , the volume of the parallelopiped equals 30 . In general , if the dimensions of a ...
... cubes , each having its edge equal to the same linear unit . Hence if one of these cubes is taken as the unit of measure of the parallelopiped , the volume of the parallelopiped equals 30 . In general , if the dimensions of a ...
Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
ABCD altitude angles are equal axis bisects circle circumscribed Conclusion congruent conical surface Corollary cube cubic foot determine a plane diagonal diedral angle Draw drawn equidistant EXERCISES face angles figure Find the lateral Find the volume frustum geometry given plane given point hexagonal Hypothesis inscribed intersecting planes lateral area lateral edges lateral faces line perpendicular line-segment parallel planes parallelogram perimeter perpendicular plane angle plane geometry plane MN plane parallel plane PQ pole polyedral angle prismatoid proof in full proof is left Prove radii radius rectangular parallelopiped regular polyedrons regular polygon regular pyramid right circular cone right prism right section sides slant height spherical angle spherical excess spherical polygon spherical triangle square straight line student SUGGESTION surface symmetrical tangent tetraedron Theorem total area traced triangular prism triangular pyramid triedral truncated vertex vertices Write the proof
Δημοφιλή αποσπάσματα
Σελίδα 434 - If two triangles have two sides and the included angle of one equal respectively to two sides and the included angle of the other, the triangles are equal.
Σελίδα 402 - A Sphere is a solid bounded by a curved surface, all points of which are equally distant from a point within, called the Centre.
Σελίδα 443 - If the first of three things is greater than the second, and the second greater than the third, then the first is greater than the third.
Σελίδα 446 - 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. B' ADC A' D' C' Hyp. In triangles ABC and A'B'C', ZA = ZA'. To prove = — • A A'B'C' A'B'xA'C' Proof. Draw the altitudes BD and B'D'.
Σελίδα 284 - 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 445 - ... they have an angle of one equal to an angle of the other and the including sides are proportional; (c) their sides are respectively proportional.
Σελίδα 444 - Two right triangles are equal if the hypotenuse and an acute angle of the one are equal respectively to the hypotenuse and an acute angle of the other.
Σελίδα 445 - In any proportion, the product of the extremes equals the product of the means.
Σελίδα 378 - The lateral area of a frustum of a right circular cone is equal to one half the product of its slant height and the sum of the circumferences of its bases.
Σελίδα 444 - If two sides and the included angle of one triangle are equal respectively to two sides and the included angle of another triangle, then the triangles are congruent.