## The Elements of Descriptive Geometry ... |

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Página 8

To

be the given point , bu the given plane ; it is required to

straight line - to BH . In the plane

...

To

**draw**a straight line perpendicular to a plane from a given point above it . Let Abe the given point , bu the given plane ; it is required to

**draw**from the point A , astraight line - to BH . In the plane

**draw**any straight line BC , and from a**draw**AD...

Página 9

From a given point in a plane to

the given point in the plane : take any point B above the plane , from which

BCI to the plane : and then DI from a

From a given point in a plane to

**draw**a perpendicular to the plane . B Let A bethe given point in the plane : take any point B above the plane , from which

**draw**BCI to the plane : and then DI from a

**draw**AD parallel to co : AD is the required . Página 53

given point of a surface , we have merely to

upon the surface , and to make the plane pass through these tangents . Our

choice of the lines on the surface will , of course , be directed to those whose

tangents ...

given point of a surface , we have merely to

**draw**tangents to two lines tracedupon the surface , and to make the plane pass through these tangents . Our

choice of the lines on the surface will , of course , be directed to those whose

tangents ...

Página 60

traces of a plane to the vertical plane , which contains the required points , and

which passes through the vertex of the cone . This plane can only meet the cone

in its ...

**Draw**the line oʻm ' , cutting xy in e ' , and e'e 1 to xy ; then o'e ' , é'e , are thetraces of a plane to the vertical plane , which contains the required points , and

which passes through the vertex of the cone . This plane can only meet the cone

in its ...

Página

given point of a surface , we have merely to

upon the surface , and to make the plane pass through these tangents . Our

choice of the lines on the surface will , of course , be directed to those whose

tangents ...

given point of a surface , we have merely to

**draw**tangents to two lines tracedupon the surface , and to make the plane pass through these tangents . Our

choice of the lines on the surface will , of course , be directed to those whose

tangents ...

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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 pap 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...