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Friday, October 9, 2020 | History

2 edition of **Mongean method of descriptive geometry** found in the catalog.

Mongean method of descriptive geometry

William Henry Roever

- 168 Want to read
- 27 Currently reading

Published
**1933**
by The Macmillan Company in New York
.

Written in English

- Monge, Gaspard, 1746-1818.,
- Geometry, Descriptive.

**Edition Notes**

A revision of that portion of Professor Loria"s work on the Mongean method in his Vorlesungen über darstellende geometrie, published by Teubner in 1907. cf. Pref.

Statement | adapted to American needs by William Henry Roever ... |

Series | A series of mathematical texts |

Contributions | Loria, Gino. |

Classifications | |
---|---|

LC Classifications | QA501 .R72 |

The Physical Object | |

Pagination | xiv p., 1 l., 151 p. |

Number of Pages | 151 |

ID Numbers | |

Open Library | OL6296456M |

LC Control Number | 33030400 |

OCLC/WorldCa | 1149748 |

Descriptive Geometry/General method of rotation. From Wikibooks, open books for an open world Descriptive Geometry. Jump to navigation Jump to search. To rotate an object: Find a line axis: if rotating a point or a line, the subject cannot be incident with the axis (the point cannot be on the axis). 1/2/ 8 Descriptive Geometry Methods An oblique face has been revolved to bring it parallel to the profile plane, in which the true shape of that surface is shown. The revolution method is satisfactory when a single entity or simple geometry is revolved; however, when the geometry is complex, this method tends to be confusing.

Applied Descriptive Geometry With Drafting-Room Problems by Warner, Frank M. and a great selection of related books, art and collectibles available now at Abstract. In the traditional method the hull surface is described by sets of planar sections parallel to the coordinate planes. Generally, the x-axis runs along the ship length, the y-axis is transversal, and the z-axis, vertical.A first set of sections are contours drawn at constant transverse sections are called stations and their set is known as the body plan.

MONGE, GASPARD (–), French mathematician, the inventor of descriptive geometry, was born at Beaune on the 10th of May He was educated first at the college of the Oratorians at Beaune, and then in their college at Lyons—where, at sixteen, the year after he had been learning physics, he was made a teacher of it. Descriptive geometry is constructive—that is, one uses conventional mechanical drawing tools: namely, compass, ruler, protractor, divider, trianglesetc to construct solutions to geometric problems. Descriptive geometry deals with manually solving problems in three-dimensional geometry through working with two-dimensional planes using these basic mechanical tools.

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$ The Mongean Method of Descriptive Geometry: According to the Procedure of Gino Loria Paperback – Octo by William Henry Roever (Author) See all 7 formats and editions Hide other formats and editionsAuthor: William Henry Roever. The Mongean method of descriptive geometry, according to the procedure of Gino Loria.

by Roever, William Henry, Pages: Mongean method of descriptive geometry. New York, The Macmillan Company, (OCoLC) Named Person: Gaspard Monge; Gaspard Monge: Document Type: Book: All Authors / Contributors: William Henry Roever; Gino Loria. system of descriptive geometry called the Mongean method.

Its purpose was to solve spa-tial problems related to military structures. The Mongean method has changed over the years, but engineering schools throughout the world still teach Mongean method of descriptive geometry book basic principles.

By study-ing descriptive geometry, you develop a rea. Orthogonal projections onto two orthogonal planes are the basis of the method that was developed by Gaspard Monge, the founder of descriptive geometry.

That method is called Monge's methodand it is very important in engineering. Monge's method consists of: orthogonal projection onto two orthogonal planes where one is chosen as the drawing plane. In Gaspard Monge, count de Péluse. In Géométrie descriptive (; “Descriptive Geometry”), based on his lectures at the École Normale, he developed his descriptive method for representing a solid in three-dimensional space on a two-dimensional plane by drawing the projections—known as plans, elevations, and traces—of the solid on a sheet of paper.

This is a book for people who want to understand Descriptive Geometry while they learn its methods and it is a book for those who have di–culties in directly visualizing spatial relationships, but can grasp them by analytical reasoning.

The book is also meant for those who want to know on what Engineering Drawing is based. Monge's paper gives the ordinary differential equation of the curves of curvature, and establishes the general theory in a very satisfactory manner; the application to the interesting particular case of the ellipsoid was first made by him in a later paper in 19th century artist axioms axis axonometric projection axonometric view Britain British centre circle co-ordinate colour considered construction course cube curved surfaces defined depicted Desargues Descartes descriptive geometry dimensions distance draughtsmen drawing practice drawing standard drawn edges engineering drawing equations face Reviews: 1.

Introduction About the purposes of studying Descriptive Geometry: 1. Methods and “means” for solving 3D geometrical construction problems. In this sense Descriptive Geometry is a branch of Geometry.

2D representation of 3D technical object, i.e. basics of Technical Drawing, “instrument” in. METALIX)GRAPHY 7, () & Geometrical Method for the Determi,mtion and Indexing of Electron Diffraction Patterns MARCOS A.

MEYERS AND R. NORMAN ORAVA* Metallurgy Division, Denver Research Institute, University ~.,f Denver, Dearer, Colorado A geometrical method for the determination and indexing of electron diffraction patterns was developed by making use of descriptive geometry.

What is Descriptive Geometry for. Hellmuth Stachel, Institute of Geometry, TU Vienna This is a pleading for Descriptive Geometry. From the very ﬁr st, Descriptive Geometry is a method to study 3D geometry through 2D images thus offering insight into structure and metrical properties of spatial objects, processes and principles.

The Mongean method of descriptive geometry, according to the procedure of Gino Loria (New York, The Macmillan Company, ), by William Henry Roever and Gino Loria (page images at HathiTrust) Descriptive geometry notes. The working book on descriptive geometry and the engineering drawing is developed for first-year students.

The writing-book is used for work on lecture employment under the direction of the teacher. This work book is intended for distance leaning Engineering Graphics for the Certificate of Higher Technical Education. УДК (). Using several methods associated with descriptive geometry, students will generate oblique plane figures, then rotate the planes of projection to find the “true” shape of each oblique.

The exercise will begin with an ambiguous set of 4 traces, from which students will construct a. Gaspard Monge, count de Péluse, (bornBeaune, France—died JParis), French mathematician who invented descriptive geometry, the study of the mathematical principles of representing three-dimensional objects in a two-dimensional plane; no longer an active discipline in mathematics, the subject is part of mechanical and architectural drawing.

The representation of figures in mongean projection (double system planned orthographic projection used in the studies of Descriptive Geometry), specially when placed in a particular situation in relation to the projection plans, possesses the quality that, through them, the actual dimensions of represented spatial objects can be found directly and without additional geometric constructions.

This is the title page to the edition of the Descriptive Geometry of Gaspard Monge (). This book deals with methods for representing three-dimensional objects in two dimensions. It was written to accompany Monge's courses at the Ècole Polytechnique in Paris. A page from Monge's book (plate 14) illustrating projections obtained by cutting a cone with an oblique plane.

The Mongean method of descriptive geometry, according to the procedure of Gino Loria by William Henry Roever (Book) Gaspard Monge by René Taton (Book). While the mongean method is a good method for the graphical solution of space problems, the plane repre- sentatives or pictures which it furnishes do not in general convey to the mind as adequate a notion of the space forms as do some other methods of descriptive.

TEACHING DESCRIPTIVE GEOMETRY FOR ARCHITECTS: DIDACTIC PRINCIPLES AND EFFECTIVE METHODS DEMONSTRATED BY THE EXAMPLE OF MONGE PROJECTION Claus Pütz1 RWTH Aachen, Germany Institute for Geometry and Applied Mathematics ABSTRACT The main task of teaching Descriptive Geometry (DG) for architects at university is to train three dimensional thinking.Description: CAD/CAE Descriptive Geometry provides a sound foundation in the fundamentals of plane geometry (mathematics), orthographic projection (technical drawing), and high-speed communication methods (digital computing).

The material presented in this textbook is based on the premise that readers have access to IBM PC or PS/2 compatible workstations running AutoDesk software. Descriptive geometry is a branch of mathematics used to transform three-dimensional objects into two-dimensional representations that can then be presented on paper, computer screens, or some similar medium.

Its principles are valuable for determining true shapes of planes, angles between lines, and locating intersection between line and planes.