Library of Useful Knowledge: Geometry plane, solid, and spherical [by Pierce Morton] 1830. Elements of trigonometry, by W. Hopkins. 1833. Elements of spherical trigonometry, by A. De Morgan. A treatise on algebraical geometry, by S.W. Waud. 1835Baldwin & Craddock, 1835 |
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Resultat 1-5 av 45
Side 127
... pyramid . The altitude of a pyramid is the per- pendicular distance of the vertex from the base or the base produced . 18. A pyramid is said to be triangu- lar , or quadrilateral or pentagonal , & c . according as its base is a triangle ...
... pyramid . The altitude of a pyramid is the per- pendicular distance of the vertex from the base or the base produced . 18. A pyramid is said to be triangu- lar , or quadrilateral or pentagonal , & c . according as its base is a triangle ...
Side 143
... pyramid will presently furnish new examples . PROP . 26. ( Euc . xi . 32. ) Parallelopipeds , which have equal altitudes , are to one another as their bases ; and parallelopipeds , which have equal bases , are to one another as their ...
... pyramid will presently furnish new examples . PROP . 26. ( Euc . xi . 32. ) Parallelopipeds , which have equal altitudes , are to one another as their bases ; and parallelopipeds , which have equal bases , are to one another as their ...
Side 145
... pyramids , having equal bases B CD , FGH in the same plane , and the straight line AE , which joins their vertices rallel to that plane : the pyramid A B C D is equal to the pyramid E FG H. pa- Since AE is parallel to the plane of the ...
... pyramids , having equal bases B CD , FGH in the same plane , and the straight line AE , which joins their vertices rallel to that plane : the pyramid A B C D is equal to the pyramid E FG H. pa- Since AE is parallel to the plane of the ...
Side 146
... pyramid A B C D , and the latter a series of prisms circumscribed about the same pyramid , which , excepting that upon the base BCD , are equal to the former , each to each , because they have equal alti- tudes towards opposite parts of ...
... pyramid A B C D , and the latter a series of prisms circumscribed about the same pyramid , which , excepting that upon the base BCD , are equal to the former , each to each , because they have equal alti- tudes towards opposite parts of ...
Side 147
... pyramid , and is , therefore , by the proposition , equal to three times the pyramid . Scholium . 66 This proposition might have been demonstrated somewhat more concisely . It will be found , however , that our de- monstration applies ...
... pyramid , and is , therefore , by the proposition , equal to three times the pyramid . Scholium . 66 This proposition might have been demonstrated somewhat more concisely . It will be found , however , that our de- monstration applies ...
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Library of Useful Knowledge: Geometry plane, solid, and spherical [by Pierce ... Uten tilgangsbegrensning - 1835 |
Vanlige uttrykk og setninger
A B C ABCD adjacent angles altitude apothem base BC bisect centre chord circum circumference circumscribed coincide common measure common section compounded cone conic section contained convex surface cylinder describe a circle diameter dihedral angle divided draw drawn edges equal angles equimultiples ference fore four magnitudes frustum given point given straight line gles harmonical harmonical mean Hence hyperbola hypotenuse inscribed join likewise locus meet parallel parallelogram parallelopiped pass pendicular pentagon perimeter perpendicular plane prism Prob produced PROP proposition pyramid quadrilateral radii radius rallel rectangle rectilineal figure regular polygon respectively right angles Scholium scribed segment sides A B similar solid angles sphere spherical angle square of A B straight lines A B tangent third three sides touch triangle ABC vertex vertical