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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Side iv
... Surfaces and contents of the right cylinder and right cone Surface and content of the sphere • 3. Surfaces and contents of certain portions of the sphere BOOK VI . 133 138 • 150 156 · 175 179 Section 1. Of great and small circles of the ...
... Surfaces and contents of the right cylinder and right cone Surface and content of the sphere • 3. Surfaces and contents of certain portions of the sphere BOOK VI . 133 138 • 150 156 · 175 179 Section 1. Of great and small circles of the ...
Side 1
... surface , or plane , is that , in which any two points whatsoever being taken , the straight line between them lies wholly in that surface . 8. A surface , of which no part is plane , is said to be curved . 9. If there be two straight ...
... surface , or plane , is that , in which any two points whatsoever being taken , the straight line between them lies wholly in that surface . 8. A surface , of which no part is plane , is said to be curved . 9. If there be two straight ...
Side 2
... surface which is included by a line or lines . The whole circuit of any figure , that is , the extent of the line or lines by which it is included , is called its perimeter . 14. A plane rectilineal figure is any portion of a plane surface ...
... surface which is included by a line or lines . The whole circuit of any figure , that is , the extent of the line or lines by which it is included , is called its perimeter . 14. A plane rectilineal figure is any portion of a plane surface ...
Side 6
... surface . Scholium . It is indifferent which of the two trian- gles DEF be taken , although in these triangles the side D E lie in opposite di- rections from DF ; viz . to the right of it in the one , and to the left of it in the other ...
... surface . Scholium . It is indifferent which of the two trian- gles DEF be taken , although in these triangles the side D E lie in opposite di- rections from DF ; viz . to the right of it in the one , and to the left of it in the other ...
Side 126
... surface be similar and similarly situated to all the planes but one which contain a solid figure , each to each , and if the dihedral angles which every adjoin- ing two of the first make with one another be equal to the dihedral angles ...
... surface be similar and similarly situated to all the planes but one which contain a solid figure , each to each , and if the dihedral angles which every adjoin- ing two of the first make with one another be equal to the dihedral angles ...
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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