The Elements of Descriptive Geometry ... |
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Página 44
To do this , let the vertical plane which contains the angle turn round the vertical
from c , till the plane is parallel to the vertical plane of projection ; then the
required angle is projected on this plane in its true magnitude , and is
represented by ...
To do this , let the vertical plane which contains the angle turn round the vertical
from c , till the plane is parallel to the vertical plane of projection ; then the
required angle is projected on this plane in its true magnitude , and is
represented by ...
Página 66
To determine the true magnitude and form of the section let us suppose the plane
pap turned down on one of the planes of projection by rotating on the trace ap ' .
The point m , m ' is situated in space on a perpendicular to ap ' at a distance ...
To determine the true magnitude and form of the section let us suppose the plane
pap turned down on one of the planes of projection by rotating on the trace ap ' .
The point m , m ' is situated in space on a perpendicular to ap ' at a distance ...
Página 67
Draw mr perpendicular to pq ; if we then conceive a line in space between r and
the point m , m ' , this line will be perpendicular to pq and will be projected of its
true magnitude in qm ' : if then m ' r , in mr , produced , be made equal to qm ' , the
...
Draw mr perpendicular to pq ; if we then conceive a line in space between r and
the point m , m ' , this line will be perpendicular to pq and will be projected of its
true magnitude in qm ' : if then m ' r , in mr , produced , be made equal to qm ' , the
...
Página 98
This conclusion being independent of the magnitude of the sides of the polygon ,
must apply equally in the case of two curves rolling on each other , that is , the
moving curve being in any , whatever , of its positions , and if h express the point
in ...
This conclusion being independent of the magnitude of the sides of the polygon ,
must apply equally in the case of two curves rolling on each other , that is , the
moving curve being in any , whatever , of its positions , and if h express the point
in ...
Página 43
... during this revolution the line ab is not altered in magnitude , and as it is
always 1 66 ' , it will take a position as bm along xy . At the same time the line
joining a and b ' in space will coincide with b ' m , and thus the required angle
coincides ...
... during this revolution the line ab is not altered in magnitude , and as it is
always 1 66 ' , it will take a position as bm along xy . At the same time the line
joining a and b ' in space will coincide with b ' m , and thus the required angle
coincides ...
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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 |