## The Elements of Descriptive Geometry ...Parker, 1841 - 100 páginas |

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Página v

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**determined**with exactness and precision , is very obvious . Descriptive Geometry supplies this want . Invented by the genius of Monge , and pursued with ardour and success by the most eminent French Geometricians , it is now taught in ... Página vii

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**determined**by their projections , and surfaces by the projections of their gene- ratrices , Monge ascertained that the various problems of the geometry of three dimensions , which had been solved before his time by a variety of ... Página 21

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**determined**in space , when its projections , upon two planes which intersect , are given . For the point should be ...**determine**when two points in the co - ordinate planes are the projections of the same point . 7. When two points ... Página 23

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**determined**from its projection a " b " upon tas . 9. The projections of any curve upon two intersecting planes will**determine**the curve . For abc , a'b'c ' , being the projections of ABC upon xyz and ayu , suppose perpendicu- W lars to ... Página 24

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**determine**the plane ; but if the plane pass a through xy , its two traces coincide with xy , and a third plane of projection must be introduced to**determine**its position . Hitherto we have made no hypothesis with regard to the angle ...### Outras edições - Ver tudo

### 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...