The Elements of Descriptive Geometry ... |
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Página 6
Therefore the straight line joining E and F is not above the plane ABCD ; similarly it cannot be below it : it is .. in the plane . PROPOSITION VIII . If two straight lines be parallel , and one of them be perpen- dicular to a plane ...
Therefore the straight line joining E and F is not above the plane ABCD ; similarly it cannot be below it : it is .. in the plane . PROPOSITION VIII . If two straight lines be parallel , and one of them be perpen- dicular to a plane ...
Página 26
... and to the same line xy , and at the same point p in xy :: . ap and a'p must be in one and the same straight line ; whence we see that the straight line joining the horizontal and vertical projections of the same point a is ...
... and to the same line xy , and at the same point p in xy :: . ap and a'p must be in one and the same straight line ; whence we see that the straight line joining the horizontal and vertical projections of the same point a is ...
Página 30
Let the two planes meet the ground line at the same point ; and let the two planes be apa ' and bpb ' . ... for an instant , in its true position , the line joining a and a ' will be the trace of the plane apa ' upon the third plane .
Let the two planes meet the ground line at the same point ; and let the two planes be apa ' and bpb ' . ... for an instant , in its true position , the line joining a and a ' will be the trace of the plane apa ' upon the third plane .
Página 38
If the line joining two of the points be parallel to one of the planes of projection , as , for instance , the vertical plane , the preceding construction could not be executed . But , in that case , the vertical trace of the required ...
If the line joining two of the points be parallel to one of the planes of projection , as , for instance , the vertical plane , the preceding construction could not be executed . But , in that case , the vertical trace of the required ...
Página 43
At the same time the line joining a and b ' in space will coincide with b'm , and thus the required angle coincides with the angle b'mb . If the plane aa'b ' be supposed to revolve round ab ' , the angle might be found in the horizontal ...
At the same time the line joining a and b ' in space will coincide with b'm , and thus the required angle coincides with the angle b'mb . If the plane aa'b ' be supposed to revolve round ab ' , the angle might be found in the horizontal ...
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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 |