Solid and Spherical Geometry and Conic Sections: Being a Treatise on the Higher Branches of Synthetical Geometry, Containing the Solid and Spherical Geometry of Playfair ...William and Robert Chambers and sold by all booksellers, 1837 - 164 sider |
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Resultat 6-10 av 96
Side 7
... draw a straight line perpendicular to a plane , from a given point above it . Let A be the given point above the plane BH ; it is re- quired to draw from the point A a straight line perpendi- cular to the plane BH . G E F D C In the plane ...
... draw a straight line perpendicular to a plane , from a given point above it . Let A be the given point above the plane BH ; it is re- quired to draw from the point A a straight line perpendi- cular to the plane BH . G E F D C In the plane ...
Side 8
... drawn per- pendicular to that plane . COR . - If it be required from a point C in a plane to erect a perpendicular to that plane , take a point A above the plane , and draw AF perpendicular to the plane ; then , if from C a line be drawn ...
... drawn per- pendicular to that plane . COR . - If it be required from a point C in a plane to erect a perpendicular to that plane , take a point A above the plane , and draw AF perpendicular to the plane ; then , if from C a line be drawn ...
Side 9
... draw BG perpendicular ( I. 10 ) to the plane which passes through DE , EF , and let it meet that plane in G ; and through G draw GH paral- lel to ED , and GK parallel to EF . And because BG is perpendicular to the plane through DE , EF ...
... draw BG perpendicular ( I. 10 ) to the plane which passes through DE , EF , and let it meet that plane in G ; and through G draw GH paral- lel to ED , and GK parallel to EF . And because BG is perpendicular to the plane through DE , EF ...
Side 10
... of the plane EH with the two planes AB and CD ; and from K any point in EF , draw in the plane EII the straight line KM at right angles to EF , and let it meet GH in E G A C K L M N O D 10 ELEMENTS OF SOLID GEOMETRY .
... of the plane EH with the two planes AB and CD ; and from K any point in EF , draw in the plane EII the straight line KM at right angles to EF , and let it meet GH in E G A C K L M N O D 10 ELEMENTS OF SOLID GEOMETRY .
Side 11
... draw also KN at right angles to EF in the plane AB ; and through the straight lines KM , KN , let a plane be made to pass cutting the plane CD in the line LO . And because EF and GH are the com- B mon sections of the plane EH with the ...
... draw also KN at right angles to EF in the plane AB ; and through the straight lines KM , KN , let a plane be made to pass cutting the plane CD in the line LO . And because EF and GH are the com- B mon sections of the plane EH with the ...
Andre utgaver - Vis alle
Solid and Spherical Geometry and Conic Sections: Being a Treatise on the ... A. Bell Uten tilgangsbegrensning - 1837 |
Solid and Spherical Geometry and Conic Sections: Being a Treatise on the ... William Chambers,Robert Chambers,A Bell Ingen forhåndsvisning tilgjengelig - 2018 |
Solid and Spherical Geometry and Conic Sections: Being a Treatise on the ... William Chambers,Robert Chambers,A Bell Ingen forhåndsvisning tilgjengelig - 2015 |
Vanlige uttrykk og setninger
absciss altitude angle ABC assymptotes base centre CG² circumference common section cone Conic Sections conic surface conjugate axis conjugate diameters cord cosine cotangent dicular directrix distance draw EK KF ellipse equal Pl foci focus given angle given point greater Hence hyperbola hypotenuse inclination intercepted intersection Let ABC line be drawn line of common ordinate parabola parallel planes parallelogram pendicular perpen perpendicular perspective plane passing point of contact pole primitive prism projection pyramid ABCD quadrant radius ratio rectangle right angles right-angled spherical triangles segments semi-ordinate semicircle sides similar triangles sine small circle solid angle solid KQ solid less solid parallelopipeds sphere spherical angle spherical triangle square subcontrary surface tangent THEOREM transverse axis vertex vertical wherefore
Populære avsnitt
Side 52 - If two triangles have two angles of the one equal to two angles of the other, each to each, and one side equal to one side, viz.
Side 17 - A cone is a solid figure described by the revolution of a right-angled triangle about one of the sides containing the right angle, which side remains fixed.
Side 27 - LR, the base of which is the parallelogram LQ, and of which LM is one of its insisting straight lines : therefore, because the parallelogram AB is equal to CD, as the base AB is to the base LQ, so is (7.
Side 19 - DAB, which contain the solid angle at A, are less than four right angles. Next, let the solid angle at A be contained by any number of plane angles BAC, CAD, DAE, EAF, FAB. These shall together be less than four right angles.
Side 29 - FC, as the solid HD to the solid DC. But the base HF is equal to the base AE, and the solid GK to the solid AB ; therefore, as the base AE to the base CF, so is the solid AB to the solid CD.
Side 55 - EM (2.) are ^quadrants, and FL, EM together, that is, FE and ML together, are equal to a semicircle. But since A is the pole of ML, ML is the measure of the angle BAC (3.), consequently FE is the supplement of the measure of the angle BAC.
Side 21 - And AB is parallel to CD ; therefore AC is a parallelogram. In like manner, it may be proved, that each of the figures CE, FG, GB, BF, AE is a parallelogram: Join AH, DF; and...
Side 7 - If two straight lines be at right angles to the same plane, they shall be parallel to one another. Let the straight lines AB, CD be at right angles to the same plane.
Side 11 - CA is at right angles to the given plane, it makes right angles with every straight line meeting it in that plane. But DAE, which is in that plane, meets CA : therefore CAE is a right angle. For the same reason BAE is a right angle. Wherefore the angle CAE is equal to the angle BAE ; and they are in one plane, which is impossible. Also, from a point above a plane, there can be but one perpendicular to that plane ; for if there could be two, they would be parallel (6.
Side 3 - The inclination of a straight line to a plane is the acute angle contained by that straight line, and another drawn from the point in which the first line meets the plane, to the point in which...