The Elements of Descriptive Geometry ... |
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Página 75
... by this plane is equal to the conjugate axis of the elliptic section . op 4° . In the
case of a right cone , since all the points of the base are at an equal distance from
the vertex , this base will develop into a circle , described with oa ' for a radius .
... by this plane is equal to the conjugate axis of the elliptic section . op 4° . In the
case of a right cone , since all the points of the base are at an equal distance from
the vertex , this base will develop into a circle , described with oa ' for a radius .
Página 76
The radii wa , wß , wy . . . , drawn through these points of division , will represent
the corresponding generatrixes oa , ob , 00 . . . of the cone when developed . The
points of the conic section situated on these generatrixes will not change their ...
The radii wa , wß , wy . . . , drawn through these points of division , will represent
the corresponding generatrixes oa , ob , 00 . . . of the cone when developed . The
points of the conic section situated on these generatrixes will not change their ...
Página 98
Now , any point m of the moving polygon , during the rotation of it on the angle A ,
will lie on the surface of a sphere having A for its centre , and am for its radius ;
and when the point B becomes the centre on which the polygon turns , m will lie ...
Now , any point m of the moving polygon , during the rotation of it on the angle A ,
will lie on the surface of a sphere having A for its centre , and am for its radius ;
and when the point B becomes the centre on which the polygon turns , m will lie ...
Página 100
Which is done by describing a circle from a as a centre with om , for a radius , and
making the arc en equal to dm , of that circle . 20 . Construction of the Tangent .
The epicycloid , as has been already observed , lies on the surface of a sphere ...
Which is done by describing a circle from a as a centre with om , for a radius , and
making the arc en equal to dm , of that circle . 20 . Construction of the Tangent .
The epicycloid , as has been already observed , lies on the surface of a sphere ...
Página 98
Now , any point m of the moving polygon , during the rotation of it on the angle a ,
will lie on the surface of a sphere having a for its centre , and am for its radius ;
and when the point o becomes the centre on which the polygon turns , m will lie ...
Now , any point m of the moving polygon , during the rotation of it on the angle a ,
will lie on the surface of a sphere having a for its centre , and am for its radius ;
and when the point o becomes the centre on which the polygon turns , m will lie ...
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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 horizontal plane horizontal projection horizontal trace intersection length line joining lines parallel magnitude meet moving necessary normals obtained obviously Octavo parallel parallel to xy perpen perpendicular plane pap plane passing planes of projection 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 15 - 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 15 - 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 17 - BIBLE CYCLOPEDIA; a Comprehensive Digest of the Civil and Natural History, Geography, Statistics, and General Literary Information connected with the Sacred Writings.
Página 15 - 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 19 - 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 |