In geometry, an altitude of a triangle is a straight line through a vertex and perpendicular to (i.e. Construction 3.1 - Hexagon given a side Sponsors The ICAA would like to thank our Lead Sponsor for Continuing Education courses, Uberto Construction.Three altitudes intersecting at the orthocenterĪn altitude is the perpendicular segment from a vertex to its opposite side. Construction 3.2 - Hexagon within a given circle Construction 1.7 - Equilateral triangle given the altitude Construction 1.6 - Equilateral triangle given a side Construction 1.5 - Construct a line parallel to given line Construction 1.3 - Construct a perpendicular off a line Construction 1.2 - Construct a perpendicular on a line Download the course booklet and commentary Not all exercises in the booklet are covered in this video. Use the label number of each exercise to locate it in the course booklet. The chapter topics are listed here for reference. "īy including examples that appear in the work of Serlio, Palladio, and others, this presentation may also be seen as preparation for approaching the canonical literature of classical architecture.Ĭlick on the chapter markers in the video above to jump to each section. the objects of knowledge are eternal and not liable to change and decay", such study "will tend to draw the mind to the truth and direct the philosophers' reason upwards. ![]() compels us to contemplate reality rather than the realm of change." This allows the designer to make rationally based choices with awareness of alternatives and possible outcomes. Early thinkers realized that because constructive geometry utilizes the method of logic, it also stimulates intellectual clarity. Rulers, protractors, and triangles are not necessary, though they may be useful for checking one’s work.Ĭonstructive geometry is a useful method for measuring the mathematical relationships between physical forms, but it is more than a system of measurement. Only a straightedge and a compass are required to draw the constructions. Viewers are encouraged to download the accompanying booklet below and actually draw the constructions demonstrated in the video. Physically drawing these geometric constructions will help the viewer to understand these mathematical relationships. Later sessions in this series will then relate these foundational constructions to elements of classical architecture, such as the construction of moulding profiles. ![]() ![]() In this course, viewers will learn the mathematical basis for common geometrical constructions, beginning with lines and angles and progressing to polygons. In fact, it is only through this mathematical logic that formal definitions can be made for the fundamental elements, such as points, lines, angles, and polygons, which underlie the sciences of architecture and engineering. As viewers will learn in this hands-on course, constructive geometry is a method of drawing angles and polygons using only the mathematical relationships between fundamental elements, rather than measuring units in a coordinate system using rulers or protractors. Parts III and IV will be available soon.Ĭonstructive geometry is an ancient science, dating to the origins of civilization itself, and its logic establishes the basis of geometrical architecture. This is the first part of a four-part course. ![]() Architect and author Steve Bass presents the first part of his Constructive Geometry course, originally taught in-person at the ICAA but made available here in digital format for the first time.
0 Comments
Leave a Reply. |