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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Resultater 1-5 af 36
Side 119
- " lar faces similarly situated , and forming equal dihedral and. Much as ... angle equal to a given angle A B C. Let A QB be the segment required , and ... angles to B C. Again , because P is the centre of a circle having the chord A B ...
- " lar faces similarly situated , and forming equal dihedral and. Much as ... angle equal to a given angle A B C. Let A QB be the segment required , and ... angles to B C. Again , because P is the centre of a circle having the chord A B ...
Side 125
... angle sought is determined by the inter- section of a straight line and circle , or of two circles : if the data be ... dihedral angle CABD . A B D The magnitude of a dihedral angle does not depend upon the extent of the containing ...
... angle sought is determined by the inter- section of a straight line and circle , or of two circles : if the data be ... dihedral angle CABD . A B D The magnitude of a dihedral angle does not depend upon the extent of the containing ...
Side 126
lar faces similarly situated , and forming equal dihedral and solid angles . † The Greek word for " seat " being in ... angle of the one shall be equal to the remaining plane angle of the other , and the two remaining dihedral angles of ...
lar faces similarly situated , and forming equal dihedral and solid angles . † The Greek word for " seat " being in ... angle of the one shall be equal to the remaining plane angle of the other , and the two remaining dihedral angles of ...
Side 135
... angle at A shall be equal to the angle at D , and the plane BAC shall be pa- rallel to the plane EDF . D F In the ... dihedral angle , be cut by two parallel planes , equal angles shall be intercepted in the latter : for the lines which ...
... angle at A shall be equal to the angle at D , and the plane BAC shall be pa- rallel to the plane EDF . D F In the ... dihedral angle , be cut by two parallel planes , equal angles shall be intercepted in the latter : for the lines which ...
Side 136
... dihedral angle ABCD coincides with the dihedral angle EF GH , and is equal to it . Therefore , & c PROP . 17 . Any two dihedral angles are to one another as the angles contained by per- pendiculars drawn as in the last pro- position ...
... dihedral angle ABCD coincides with the dihedral angle EF GH , and is equal to it . Therefore , & c PROP . 17 . Any two dihedral angles are to one another as the angles contained by per- pendiculars drawn as in the last pro- position ...
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Almindelige termer og sætninger
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