The Elements of Descriptive Geometry ...Parker, 1841 - 100 páginas |
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Página 25
... xyu ' , which is ayu produced upon the other side of xy . The lines in the plane of xyz undergo no change ; but after the revolution round xy , a Q the projections a and a have a connexion which must DESCRIPTIVE GEOMETRY . 25.
... xyu ' , which is ayu produced upon the other side of xy . The lines in the plane of xyz undergo no change ; but after the revolution round xy , a Q the projections a and a have a connexion which must DESCRIPTIVE GEOMETRY . 25.
Página 46
... sides are a d and a'm ; .. on xy , take mď = a d , and a'd ' will be this hypothenuse . Then produce da to A , so ... sides . For the horizontal projections of the sides are ab and a c , their vertical are a'b ' and a'c ' ; then make mb ...
... sides are a d and a'm ; .. on xy , take mď = a d , and a'd ' will be this hypothenuse . Then produce da to A , so ... sides . For the horizontal projections of the sides are ab and a c , their vertical are a'b ' and a'c ' ; then make mb ...
Página 52
... sides are infinitely small , and one of its tangents to be the prolongation of one of these indefinitely small sides . In the same manner a curve surface may be considered as a polyhedron , whose faces are infinite in number and in ...
... sides are infinitely small , and one of its tangents to be the prolongation of one of these indefinitely small sides . In the same manner a curve surface may be considered as a polyhedron , whose faces are infinite in number and in ...
Página 72
... sides ; by making up equal to мr , the line joining the points Kp will be the tangent at K. * The generatrixes which pass through the extremities of the equal arcs , ab , bc , cd .... of the base of the cylinder , will not intercept ...
... sides ; by making up equal to мr , the line joining the points Kp will be the tangent at K. * The generatrixes which pass through the extremities of the equal arcs , ab , bc , cd .... of the base of the cylinder , will not intercept ...
Página 76
... side of which is mr , and the other , which has mn for its projection , is equal to μv ; if , there- fore , a ... sides of each triangular face of this pyramid is easily deduced , and they may be constructed successively , and the ...
... side of which is mr , and the other , which has mn for its projection , is equal to μv ; if , there- fore , a ... sides of each triangular face of this pyramid is easily deduced , and they may be constructed successively , and the ...
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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...