The Elements of Descriptive Geometry ... |
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Página 52
If we conceive through the point of contact any number of lines whatever to be traced upon the surface , and if from the point under consideration we take infinitely small portions of these curve lines , we may regard these portions as ...
If we conceive through the point of contact any number of lines whatever to be traced upon the surface , and if from the point under consideration we take infinitely small portions of these curve lines , we may regard these portions as ...
Página 53
A normal is a perpendicular to the tangent plane , drawn through the point of contact . TANGENT PLANES TO SURFACES . THE CYLINDER . PROBLEM 1 . Given the horizontal trace of a cylinder and the direction of the generatrixes , to draw a ...
A normal is a perpendicular to the tangent plane , drawn through the point of contact . TANGENT PLANES TO SURFACES . THE CYLINDER . PROBLEM 1 . Given the horizontal trace of a cylinder and the direction of the generatrixes , to draw a ...
Página 55
Now the tangent plane to a sur- face contains the tangents to every curve traced upon this surface , and passing through the point of contact ; if .. we draw the tangent ti , to the curve aec , it will be in the required plane ...
Now the tangent plane to a sur- face contains the tangents to every curve traced upon this surface , and passing through the point of contact ; if .. we draw the tangent ti , to the curve aec , it will be in the required plane ...
Página 61
To verify the constructions , we may find the vertical traces of the generatrixes of contact , and also the vertical traces of the parallels , drawn through the given point , to the horizontal traces of the two tangent planes .
To verify the constructions , we may find the vertical traces of the generatrixes of contact , and also the vertical traces of the parallels , drawn through the given point , to the horizontal traces of the two tangent planes .
Página 67
The point of contact of the tangent is now in м " ; to draw the tangent at that point it is only necessary to deduce a second point in it , as N " , on the same principle as that by which м " is obtained , the line nN " being drawn ...
The point of contact of the tangent is now in м " ; to draw the tangent at that point it is only necessary to deduce a second point in it , as N " , on the same principle as that by which м " is obtained , the line nN " being drawn ...
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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 |