## A Course in Descriptive Geometry and Photogrammetry for the Mathematical Laboratory |

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### Common terms and phrases

auxiliary plane base camera centre of projection circle whose centre circular cone constructed convenient corresponding points cube curve in space curve of intersection curved surfaces cylinder descriptive geometry directrix distance draw a line draw the tangent equal Example figure in space given angle given curve given line given point given straight line ground line height Hence horizontal and vertical horizontal plane horizontal projection known line in space line joining line of intersection line parallel meet meridian Monge's Method orthogonal projection osculating plane perpendicular perspective representation PHOTOGRAMMETRY photograms picture plane plane curve plane of projection plane passing point in space point of intersection problem rabatted position radius represented required plane required point required tangent plane right angles secant plane solid space point station point suppose surface of revolution triangle vanishing line vanishing point vertex vertical plane vertical trace

### Popular passages

Page 14 - la theorie et la pratique de la coupe des pierres et des bois, ou traite de stereotomie, Strasbourg 1738 & 39; nouvelle (2.) Edition, Paris, 1. 1. 1754, t. II. 1768, t. III. 1769)".

Page 18 - If a line is perpendicular to a plane the projections of the line are perpendicular to the traces of the plane, the plan to the horizontal trace and the elevation to the vertical trace.

Page 20 - To pass a plane through a given point parallel to a given plane. Since the required plane is to be parallel to the given plane...

Page 2 - The invention of the pointed bowtell, contemporaneously with the pointed arch, opened the way to a great number of new forms, all more or less referable to this common origin, and all used with the most refined taste in varying the members of complex Early English groupings.

Page 35 - If a, b, c are the sides of a spherical triangle and a', b' , c' the corresponding sides of the polar triangle, if a>b>c, then a' <b' <c

Page 15 - From the Middle Ages to the end of the seventeenth century the...

Page 35 - ... cos y — cos a cos ft — sin a sin ft cos c. For, let a', b', c',. a', ft

Page 65 - The 217 kaleidoscope is an optical toy, invented by Sir David Brewster. It consists of a tube containing two glass plates, extending along its whole length, and inclined at an angle of 60°. One end of the...

Page 24 - To find the point of intersection of a given line and a given plane.

Page 18 - The horizontal projection of the line is perpendicular to the horizontal trace of the plane.