Plane and Solid Geometry: To which is Added Plane and Spherical Trigonometry and Mensuration : Accompanied with All the Necessary Logarithmic and Trigonometric TablesD. Appleton, 1860 - 443 σελίδες |
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Αποτελέσματα 1 - 5 από τα 34.
Σελίδα 4
... Volume , of Area , or of Length , according as it is applied to a space , a surface , or a line . Thus , the length of a line , or its linear extension , is the magnitude of this line , estimated or measured in units of a line . In the ...
... Volume , of Area , or of Length , according as it is applied to a space , a surface , or a line . Thus , the length of a line , or its linear extension , is the magnitude of this line , estimated or measured in units of a line . In the ...
Σελίδα 77
... volume by a volume , etc. But in all these cases it must be understood that it is the ratios of these geometrical magnitudes to their respective units , which are thus multiplied . SIMILAR TRIANGLES . THEOREM IV . A straight line drawn ...
... volume by a volume , etc. But in all these cases it must be understood that it is the ratios of these geometrical magnitudes to their respective units , which are thus multiplied . SIMILAR TRIANGLES . THEOREM IV . A straight line drawn ...
Σελίδα 164
... volume . Hence we say the volume of a rectangular parallelopipedon is equal to the product of its base by its altitude , or to the product of its three dimensions . As the cube has all its three dimensions equal , if the side is 1 , the ...
... volume . Hence we say the volume of a rectangular parallelopipedon is equal to the product of its base by its altitude , or to the product of its three dimensions . As the cube has all its three dimensions equal , if the side is 1 , the ...
Σελίδα 165
... volume of the latter is equal to its base multiplied by its height ; hence the volume of the former is , in like manner , equal to the product of its base by its altitude . In the second place , and for a like reason , any triangular ...
... volume of the latter is equal to its base multiplied by its height ; hence the volume of the former is , in like manner , equal to the product of its base by its altitude . In the second place , and for a like reason , any triangular ...
Σελίδα 166
... volume of the prism P , and ah base bed expresses the volume of the other prism p ; therefore prism P : prism p :: BC3 : bc3 . THEOREM XIV . If a pyramid be cut by a plane parallel to its base , the section thus formed will be a polygon ...
... volume of the prism P , and ah base bed expresses the volume of the other prism p ; therefore prism P : prism p :: BC3 : bc3 . THEOREM XIV . If a pyramid be cut by a plane parallel to its base , the section thus formed will be a polygon ...
Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
a+b+c ABCD altitude angles equal apothem base bisecting centre chord circle circumference circumscribed circle circumscribed polygon cone consequently corresponding cosec Cosine Cotang cubic cylinder decimal denote diameter dicular distance divided draw drawn equally distant equation exterior angles feet figure frustum given angle given line gives greater half hence hypotenuse inches included angle inscribed circle intersection logarithm measure middle point multiplied number of sides opposite parallel parallelogram parallelopipedon pendicular perimeter perpen perpendicular plane MN polyedral angle polyedron prism PROBLEM proportion pyramid quadrant quadrilateral radii radius ratio rectangle regular polygon respectively equal right angles right-angled triangle Scholium secant similar similar triangles Sine slant height solid sphere spherical triangle square straight line subtract suppose surface Tang Tangent THEOREM three sides triangle ABC volume
Δημοφιλή αποσπάσματα
Σελίδα 113 - CUBIC MEASURE 1728 cubic inches = 1 cubic foot 27 cubic feet = 1 cubic yard...
Σελίδα 31 - If the opposite sides of a quadrilateral are equal, the figure is a parallelogram.
Σελίδα 112 - ALSO THE AREA OF THE TRIANGLE FORMED BY THE CHORD OF THE SEGMENT AND THE RADII OF THE SECTOR. THEN...
Σελίδα 33 - If two triangles have the three sides of the one equal to the three sides of the other, each to each, the triangles are congruent.
Σελίδα 80 - 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. A D A' Hyp. In triangles ABC and A'B'C', To prove AABC A A'B'C' A'B' x A'C ' Proof. Draw the altitudes BD and B'D'.
Σελίδα 139 - If a straight line is perpendicular to each of two straight lines at their point of intersection, it is perpendicular to the plane of those lines.
Σελίδα 15 - The sum of all the angles of a polygon is equal to twice as many right angles as the polygon has sides, less two.
Σελίδα 174 - The radius of a sphere is a straight line, drawn from the centre to any point of the...
Σελίδα 107 - ... similar figures are to each other as the squares of their homologous sides.
Σελίδα 180 - Every section of a sphere, made by a plane, is a circle.