## The Elements of Descriptive Geometry ... |

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Página 2

( 10 ) The

is the dihedral

and the planes containing the

...

( 10 ) The

**angle**between two planes is called the dihedral**angle**. Thus , Q A B Mis the dihedral

**angle**of the two planes , QA BN , PABM : A B is called the edge ,and the planes containing the

**angles**are called faces . ( 11 ) A solid**angle**is that...

Página 16

Hence may we find how many of the plane < s of an equilateral and equiangular

polygon be taken to form a solid

equilateral A . * Then : each < = 60° ; and : : 3 x 60 = 180 , 4 x 60 = 240 , 5 x 60 =

300 : a ...

Hence may we find how many of the plane < s of an equilateral and equiangular

polygon be taken to form a solid

**angle**. 1° . Let the plane < be that of anequilateral A . * Then : each < = 60° ; and : : 3 x 60 = 180 , 4 x 60 = 240 , 5 x 60 =

300 : a ...

Página 43

Given the projections of a line , to find the

of projection . 30 . Def . The

formed by the line and its projection upon the plane . Let ab and a ' b ' be the ...

Given the projections of a line , to find the

**angles**which it makes with the planesof projection . 30 . Def . The

**angle**which a line makes with a plane is the**angle**formed by the line and its projection upon the plane . Let ab and a ' b ' be the ...

Página 44

Through the point dd imagine a line drawn parallel to ab , and find the

makes with the line . To do this , let the vertical plane which contains the

turn round the vertical from c , till the plane is parallel to the vertical plane of ...

Through the point dd imagine a line drawn parallel to ab , and find the

**angle**itmakes with the line . To do this , let the vertical plane which contains the

**angle**turn round the vertical from c , till the plane is parallel to the vertical plane of ...

Página 76

The tangent is obtained as it was in the case of the cylinder , by observing that

before and after the development , each element of the conic section always

makes the same

example ...

The tangent is obtained as it was in the case of the cylinder , by observing that

before and after the development , each element of the conic section always

makes the same

**angle**with the contiguous generatrix . Let the point v , forexample ...

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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...