The Elements of Descriptive Geometry ... |
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Página iii
1 19 27 50 53 59 62 65 79 2 7 8 8 2 2 2 2 2 Introductory ; Geometry of the Straight Line and Plane Definitions of ... by Planes Intersections of Curved Surfaces Projection of the Helix Projection of the Epicycloid 92 - 96 PREFACE .
1 19 27 50 53 59 62 65 79 2 7 8 8 2 2 2 2 2 Introductory ; Geometry of the Straight Line and Plane Definitions of ... by Planes Intersections of Curved Surfaces Projection of the Helix Projection of the Epicycloid 92 - 96 PREFACE .
Página vii
He first conceived , that bodies might be represented by figures drawn in a single plane , by the aid of projections on two different planes , com- monly perpendicular to each other , and which we may consider as respectively horizontal ...
He first conceived , that bodies might be represented by figures drawn in a single plane , by the aid of projections on two different planes , com- monly perpendicular to each other , and which we may consider as respectively horizontal ...
Página 19
THE object of Descriptive Geometry is the invention of methods by which we may represent upon a plane , having only ... The means by which descriptive geometry attains its object is the method of Projections , which we now proceed to ...
THE object of Descriptive Geometry is the invention of methods by which we may represent upon a plane , having only ... The means by which descriptive geometry attains its object is the method of Projections , which we now proceed to ...
Página 20
Σ P P N Thus , if pp be drawn from P , per- dicular to the plane мN , p is the pro- jection of P upon the plane мN . ... The projection of a line upon a plane is the line formed by the projections of every point of the former line .
Σ P P N Thus , if pp be drawn from P , per- dicular to the plane мN , p is the pro- jection of P upon the plane мN . ... The projection of a line upon a plane is the line formed by the projections of every point of the former line .
Página 21
The projection of a straight line AB is a line ; for the perpendiculars let fall from the different points of AB are all in the same plane . And since two points deter- mine a line , we have to draw the projection of AB , merely to ...
The projection of a straight line AB is a line ; for the perpendiculars let fall from the different points of AB are all in the same plane . And since two points deter- mine a line , we have to draw the projection of AB , merely to ...
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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...