Monge's method, known as
descriptive geometry, uses two sets of parallel projections to univocally notate the position of any point in space onto two planes that, if needed, can be drawn on the same sheet of paper.
The authors have organized the main body of their text in thirteen chapters devoted to basic engineering drawing definitions and practices, perspective and sectional views, geometric constructions,
descriptive geometry, parallelism and perpendicularity, and a wide variety of other related subjects.
A list of lecture topics in the 14th century given in Chapter 1 includes rules for calculating the date of Easter and other calendar problems,
descriptive geometry of the sphere for navigation and astronomy, the rudiments of arithmetic, and six books of Euclid's geometry.
In the past, these topics have included: symmetry in architecture, projective and
descriptive geometry, soap bubbles and minimum surfaces, systems of proportions, geometry and urban design, the development of structural forms, the use of arithmetical, geometrical, and harmonic means, calculations of domes and arches, linear algebra and geometric forms, music theory and architecture, fractals in architecture, etc.
This situation, together with the emergence of CAD, has led many universities to consider either total or partial elimination of
descriptive geometry from their engineering course curricula.
Bender and Marrinan draw on evidence from the histories of
descriptive geometry, astronomy, statistics, probability theory and chronophotography to illustrate the ways that the uniform, homogeneous spatial grid of Cartesian perspectivalism was called into question.
In the traditional way of
Descriptive Geometry teaching, for example, the most difficult task for the teacher is to explain the spatial relationship among planes and objects.
An excellent article by Janis Langins of the University of Toronto on French fortification theory after Vauban ties science closely to warfare in terms of strength of materials, topography, soil mechanics, and
descriptive geometry.
Some have called Einstein an average student, but his record at the Cantonal school in Aargau shows the highest possible marks (6 out of 6) in history, algebra, geometry,
descriptive geometry and physics.
These are most specifically geometric constructions and
descriptive geometry.
For mechanical technician training, the typical required technical core courses include engineering graphics,
descriptive geometry, mechanical drafting, manufacturing processes, applied statistics, strength of materials, and tool design projects.
All embody that quintessential Morphosis conjecture of ground and urban form, of
descriptive geometry and appropriated or invented objects.
