The Elements of Descriptive Geometry ...Parker, 1841 - 100 páginas |
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Página 6
... of them be perpen- dicular to a plane : the other shall be also perpendicular to the same plane . Let AB , CD , be the two parallels , and AB to a plane ; CD is to the same plane . Let AB , CD , meet the plane in B 6 INTRODUCTION .
... of them be perpen- dicular to a plane : the other shall be also perpendicular to the same plane . Let AB , CD , be the two parallels , and AB to a plane ; CD is to the same plane . Let AB , CD , meet the plane in B 6 INTRODUCTION .
Página 20
... dicular to the plane мN , p is the pro- jection of P upon the plane MN . MN is called the plane of projection . It And is also evident that p is the projection of every point of the line pp . 3. The projection of a line upon a plane is ...
... dicular to the plane мN , p is the pro- jection of P upon the plane MN . MN is called the plane of projection . It And is also evident that p is the projection of every point of the line pp . 3. The projection of a line upon a plane is ...
Página 25
... dicular to the ground line . 4 ° . The perpendiculars to the ground line , from the projections of a point , are respectively equal to the dis- tances of that point from the planes of projection ; for it is manifest that Aaap , and △ a ...
... dicular to the ground line . 4 ° . The perpendiculars to the ground line , from the projections of a point , are respectively equal to the dis- tances of that point from the planes of projection ; for it is manifest that Aaap , and △ a ...
Página 30
... dicular to the ground line , the traces of the given planes upon it are determined , and thus the construction is referred to the general case . This solution is that given in the figure . The traces of the third plane are aa , aa ...
... dicular to the ground line , the traces of the given planes upon it are determined , and thus the construction is referred to the general case . This solution is that given in the figure . The traces of the third plane are aa , aa ...
Página 45
... are not in the same perpen- dicular to the ground line , the two lines do not really meet . In that case we draw from any point two lines parallel to them , and the angle between these lines is DESCRIPTIVE GEOMETRY . 45.
... are not in the same perpen- dicular to the ground line , the two lines do not really meet . In that case we draw from any point two lines parallel to them , and the angle between these lines is DESCRIPTIVE GEOMETRY . 45.
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Palavras e frases frequentes
arcs auxiliary planes axes axis centre circle co-ordinate planes coincide common section cone conic section conical surface consequently construction curve abc curve of intersection curved surface cutting plane cylinder Descriptive Geometry determined developed dicular distance draw a line draw a tangent draw the tangent drawn parallel epicycloid equal find the angle find the projections given line given point ground line helix Hence horizontal plane horizontal projection horizontal trace Let the plane line joining lines parallel normals obtained Octavo parallel to xy pendicular perpen perpendicular plane of projection plane passing plane perpendicular plane pqp plane required point of contact polygon PROBLEM projecting plane PROPOSITION radius ratrixes required plane required point right angles solid sphere straight line supposed surfaces of revolution tangent plane third plane tical tion true magnitude 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...