The Elements of Descriptive Geometry ... |
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Página 51
Surfaces of Revolution are those which may be supposed to be described by the revolution of a curve round its axis . Thus the semicircle revolving round its diameter produces the sphere , and the ellipse round its axes generates the ...
Surfaces of Revolution are those which may be supposed to be described by the revolution of a curve round its axis . Thus the semicircle revolving round its diameter produces the sphere , and the ellipse round its axes generates the ...
Página 63
... cases of frequent occurrence , the choice of these auxiliary sectional planes is determined by the nature of the surfaces : thus , if one of them be a cylinder , the planes should be assumed as parallel to the axis of the solid ...
... cases of frequent occurrence , the choice of these auxiliary sectional planes is determined by the nature of the surfaces : thus , if one of them be a cylinder , the planes should be assumed as parallel to the axis of the solid ...
Página 68
It will also be observed that the point o in which the tangent nm , qm ' cuts the axis of rotation dd " , d ' , not being changed during the rotation of the plane , the tangent N " M " will pass through o . 3o .
It will also be observed that the point o in which the tangent nm , qm ' cuts the axis of rotation dd " , d ' , not being changed during the rotation of the plane , the tangent N " M " will pass through o . 3o .
Página 69
This property is analogous to the well - known one of ellipses described on a common axis ; and is true in this case only inasmuch as these ellipses are the intersections of the same cylinder by planes fulfilling the above - stated ...
This property is analogous to the well - known one of ellipses described on a common axis ; and is true in this case only inasmuch as these ellipses are the intersections of the same cylinder by planes fulfilling the above - stated ...
Página 73
... its axis is vertical , and the two generatrixes parallel to the vertical plane are oa , o'a ' , and od , o'd ' . The points of the curve efg may also be obtained by cutting the cone by horizontal planes : let h ' ' be the vertical ...
... its axis is vertical , and the two generatrixes parallel to the vertical plane are oa , o'a ' , and od , o'd ' . The points of the curve efg may also be obtained by cutting the cone by horizontal planes : let h ' ' be the vertical ...
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Palavras e frases frequentes
angle arcs assumed axes axis base called centre circle coincide common cone conic consequently considered construction contains corresponding curve curve of intersection cylinder described Descriptive determined developed dicular distance draw draw the tangent drawn equal evident example faces figure formed generatrixes given line given point ground line helix Hence HISTORY horizontal plane horizontal projection horizontal trace intersection length line joining lines parallel magnitude means meet moving necessary normals obtained obviously Octavo parallel perpen perpendicular plane of projection plane passing plane pqp point of contact polygon position PROBLEM produced PROPOSITION radius required plane respectively right angles sides situated solid sought space sphere straight line supposed surface tangent plane third plane tion true vertex vertical plane vertical projection vertical trace
Passagens conhecidas
Página 101 - A MANUAL of CHRISTIAN ANTIQUITIES ; or an Account of the Constitution, Ministers, "Worship, Discipline, and Customs of the Early Church ; with an Introduction, containing a Complete and Chronological Analysis of the "Works of the Antenicene Fathers.
Página 11 - If two straight lines meeting one another be parallel to two other straight lines which meet one another, but are not in the same plane with the first two; the plane which passes through these is parallel to the plane passing through the others.
Página 10 - From the same point in a given plane there cannot be two straight lines at right angles to the plane, upon the same side of it : and there can be but one perpendicular to a plane from a point above the plane.
Página 101 - HISTORY of the CHURCH of ENGLAND, to the REVOLUTION in 1688; embracing Copious Histories of the Thirty-Nine Articles, the Translation of the Bible, and the Compilation of the Book of Common Prayer.
Página 6 - IF two straight lines be parallel, the straight line drawn from any point in the one to any point in the other is in the same plane with the parallels.* Let AB, CD be parallel straight lines, and take any point E in the one, and the point F in the other : the straight line which joins E and F is in the same plane with the parallels.
Página 103 - BIBLE CYCLOPEDIA; a Comprehensive Digest of the Civil and Natural History, Geography, Statistics, and General Literary Information connected with the Sacred Writings.
Página 101 - CV. *HISTORY OF THE CHRISTIAN CHURCH ; from the Ascension of Jesus Christ to the Conversion of Constantine. By the late EDWARD BURTON, DD, Regius Professor of Divinity at Oxford.
Página 2 - A solid angle is that which is made by the meeting of more than two plane angles, which are not in the same plane, in one point. X. ' The tenth definition is omitted for reasons given in the notes.
Página 105 - Progressive Exercises in Greek Tragic Senarii, followed by a Selection from the Greek Verses of Shrewsbury School, and prefaced by a short Account of the Iambic Metre and Style of Greek Tragedy.
Página 7 - Two straight lines which are each of them parallel to the same straight line, and not in the same plane with it, are parallel to one another. Let AB...
Informação bibliográfica
| Título | The Elements of Descriptive Geometry ... |
| Autor | Thomas Grainger Hall |
| Editora | Parker, 1841 |
| Original de | Universidade de Oxford |
| Digitalizado | 21 Abr 2006 |
| Número de páginas | 100 páginas |
| Exportar citação | BiBTeX EndNote RefMan |