## The Elements of Descriptive Geometry ... |

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Página 51

... the surface described is that of the common , or right , cone . Cylindrical surfaces are described by the motion of a line always parallel to its first direction , but the extremity

... the surface described is that of the common , or right , cone . Cylindrical surfaces are described by the motion of a line always parallel to its first direction , but the extremity

**moving**through a given ... Página 92

Now , the points projected in k ' , before mentioned , are not

Now , the points projected in k ' , before mentioned , are not

**moved**on this supposition ; their horizontal projections , therefore , will be hh , in which the circle kl cuts h'h . By means of other planes perpendicular to b'c ' , other ... Página 94

Another property directly resulting from these conditions is , that if all the tangents to the helix were

Another property directly resulting from these conditions is , that if all the tangents to the helix were

**moved**parallel to their original position , but so as to pass through one common point , they would form a right conical surface ... Página 96

... which remains stationary , so that the two circumferences are always tangential to each other , any point in that of the first will describe a curve termed an epicycloid : if the

... which remains stationary , so that the two circumferences are always tangential to each other , any point in that of the first will describe a curve termed an epicycloid : if the

**moving**circles always remain in the ... Página 97

For , on this supposition , it is clear that the fixed circle is on a sphere , having the common vertex of the cones for its centre , and their common generatrix for its radius ; and the

For , on this supposition , it is clear that the fixed circle is on a sphere , having the common vertex of the cones for its centre , and their common generatrix for its radius ; and the

**moving**circle always remains on this spherical ...### Opinião das pessoas - Escrever uma crítica

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angle arcs assumed auxiliary planes 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 passing planes of projection 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...