## The Elements of Descriptive Geometry ... |

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Página 55

Now the tangent plane to a surface contains the tangents to every curve traced

upon this surface , and passing through the point of contact ; if : . we

Now the tangent plane to a surface contains the tangents to every curve traced

upon this surface , and passing through the point of contact ; if : . we

**draw the****tangent**ti , to the curve aec , it will be in the required plane , and since it is in the ... Página 60

zontal plane the

lines o ' c ' , o ' d ' , in the vertical plane . First , to determine the points of the

surface which correspond with a given vertical projection , in ' . ·

oʻm ...

zontal plane the

**tangents**oa and ob ; then the**tangents**cc ' , dd ' , 1 to xy : and thelines o ' c ' , o ' d ' , in the vertical plane . First , to determine the points of the

surface which correspond with a given vertical projection , in ' . ·

**Draw**the lineoʻm ...

Página 98

... of the generating point m : the

the point m , will always be contained in the

sphere having - for its centre and un for its radius . 1° . To

the ...

... of the generating point m : the

**tangent**at the point n of the curve generated bythe point m , will always be contained in the

**tangent**plane at the point n to thesphere having - for its centre and un for its radius . 1° . To

**draw**the projection ofthe ...

Página 53

given point of a surface , we have merely to

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

normal is a perpendicular to the tangent plane , drawn through the point of

contact .

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 . ... A

normal is a perpendicular to the tangent plane , drawn through the point of

contact .

Página 55

Now the tangent plane to a surface contains the tangents to every curve traced

upon this surface , and passing through the point of contact ; if : . we

Now the tangent plane to a surface contains the tangents to every curve traced

upon this surface , and passing through the point of contact ; if : . we

**draw the****tangent**ti , to the curve aec , it will be in the required plane , and since it is in the ...### Opinião das pessoas - Escrever uma crítica

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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 horizontal plane horizontal projection horizontal trace intersection length line joining lines parallel magnitude meet moving necessary normals obtained obviously Octavo parallel parallel to xy 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 15 - 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 15 - 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 17 - BIBLE CYCLOPEDIA; a Comprehensive Digest of the Civil and Natural History, Geography, Statistics, and General Literary Information connected with the Sacred Writings.

Página 15 - 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 19 - 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...