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 87
Side 26
... hyperbola , con- choïd , and cissoïd , ) any given angle may be trisected , or divided into three equal parts ; but such constructions , not being effected by the two species of lines which are the subject of these Ele- ments , are for ...
... hyperbola , con- choïd , and cissoïd , ) any given angle may be trisected , or divided into three equal parts ; but such constructions , not being effected by the two species of lines which are the subject of these Ele- ments , are for ...
Side 214
... are appropriated to the other plane sections , viz . the ellipse ( def . 10 , ) , the parabola ( def . 11. ) , and the hyperbola ( def . 12. ) . cause o a and OA are sections of pa- rallel 214 [ Appendix . GEOMETRY .
... are appropriated to the other plane sections , viz . the ellipse ( def . 10 , ) , the parabola ( def . 11. ) , and the hyperbola ( def . 12. ) . cause o a and OA are sections of pa- rallel 214 [ Appendix . GEOMETRY .
Side 216
... hyperbola ( 1. ) : for the plane which passes through V pa- rallel to the circular section , falls entirely without the cone , so that no point of the conic section is found in that plane . Cor . 3. And so , the projection of every ...
... hyperbola ( 1. ) : for the plane which passes through V pa- rallel to the circular section , falls entirely without the cone , so that no point of the conic section is found in that plane . Cor . 3. And so , the projection of every ...
Side 217
... hyperbola , the axis A M cuts the curve in two points , A , A ' ; these points are called the vrin , cipal vertices of the ellipse or hyper- bola , and the straight line A A ' , which is intercepted between them , is called the ...
... hyperbola , the axis A M cuts the curve in two points , A , A ' ; these points are called the vrin , cipal vertices of the ellipse or hyper- bola , and the straight line A A ' , which is intercepted between them , is called the ...
Side 218
... hyperbola , and the straight lines CE , CF produced , shall be asymptotes , making equal angles with the axis A A ' upon either side of it . Join Oe and VL . Then , because ce touches the circle in e , the triangle O ec is right ...
... hyperbola , and the straight lines CE , CF produced , shall be asymptotes , making equal angles with the axis A A ' upon either side of it . Join Oe and VL . Then , because ce touches the circle in e , the triangle O ec is right ...
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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