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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Σελίδα 167
... axis of the cone . 5. A cone is said to be right or ob- lique , according as the axis is per- pendicular to the base , or inclined to it . C is a right , and C ' an oblique cone . The slant side of a right cone is a straight line which ...
... axis of the cone . 5. A cone is said to be right or ob- lique , according as the axis is per- pendicular to the base , or inclined to it . C is a right , and C ' an oblique cone . The slant side of a right cone is a straight line which ...
Σελίδα 168
... axis A a ' and the base BCD , and the prism e'f ' EF , which is inscribed in it upon the base EF . Then , by making the cylinder which has the axis A a coincide succes- sively with the parts of the larger cylin- der , it may be shown ...
... axis A a ' and the base BCD , and the prism e'f ' EF , which is inscribed in it upon the base EF . Then , by making the cylinder which has the axis A a coincide succes- sively with the parts of the larger cylin- der , it may be shown ...
Σελίδα 171
... axis VA be produced to V ' , so that A V ' may be equal to A'V , ' and if a right cone be described which shall have the axis V'A and the base B CD , it may be shown by coincidence that the con- vex surface of the latter cone V ' BCD is ...
... axis VA be produced to V ' , so that A V ' may be equal to A'V , ' and if a right cone be described which shall have the axis V'A and the base B CD , it may be shown by coincidence that the con- vex surface of the latter cone V ' BCD is ...
Σελίδα 173
... axes . For , in the first place , there may be inscribed in the cones similar pyramids , the convex surfaces of ... axes of the cones , for the axes of the cones are to one another as the radii of their bases ( def . 6. ) ; therefore the ...
... axes . For , in the first place , there may be inscribed in the cones similar pyramids , the convex surfaces of ... axes of the cones , for the axes of the cones are to one another as the radii of their bases ( def . 6. ) ; therefore the ...
Σελίδα 175
... axis ; and , in every other case , that of a frus- tum of a right cone . In the former case , the reason is ... axis ) by the perimeter of a plane sec- tion perpendicular to it . It remains to observe , with regard to Props . 3. and 8 ...
... axis ; and , in every other case , that of a frus- tum of a right cone . In the former case , the reason is ... axis ) by the perimeter of a plane sec- tion perpendicular to it . It remains to observe , with regard to Props . 3. and 8 ...
Άλλες εκδόσεις - Προβολή όλων
Library of Useful Knowledge: Geometry plane, solid, and spherical [by Pierce ... Πλήρης προβολή - 1835 |
Συχνά εμφανιζόμενοι όροι και φράσεις
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