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 - Mathematics |
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Page 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 ...
Page 126
... convex 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 ...
... convex 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 ...
Page 127
... convex surface of the 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 ...
... convex surface of the 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 ...
Page 145
... surface of a prism , if it be a right prism , it is measured by the product of the prin- cipal edge , and the ... convex surface of a prism has this obvious but remarkable property , that planes are similar and equal figures ( 12 . the ...
... surface of a prism , if it be a right prism , it is measured by the product of the prin- cipal edge , and the ... convex surface of a prism has this obvious but remarkable property , that planes are similar and equal figures ( 12 . the ...
Page 160
... convex surface is exhibited as would present itself to the eye if they were opaque bodies . Cor . 1. Regular solids of the same name are 160 [ IV . ยง 4 . GEOMETRY .
... convex surface is exhibited as would present itself to the eye if they were opaque bodies . Cor . 1. Regular solids of the same name are 160 [ IV . ยง 4 . GEOMETRY .
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Common terms and phrases
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