VeÄ - Fakulteta za arhitekturo - Univerza v Ljubljani
VeÄ - Fakulteta za arhitekturo - Univerza v Ljubljani
VeÄ - Fakulteta za arhitekturo - Univerza v Ljubljani
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1.3 OPISNA GEOMETRIJA DESCRIPTIVE GEOMETRY<br />
1. letnik 90 ur<br />
doc. dr. Alojz Muhiè, univ. dipl. inž. arh.<br />
- Sajovic, Oton: Opisna geometrija I., DZS, Ljubljana 1951<br />
- Jeran, Fran, Sajovic, Oton: Osnove opisne geometrije, DZS, Ljubljana 1958<br />
- Božièeviæ, Juraj: Deskriptivna geometrija, Zagreb 1958<br />
- Nièe, Vilko: Deskriptivna geometrija I in II, Školska knjiga, 1991<br />
- Sajovic, Oton: Normalna aksonometrija, MK, Ljubljana 1962<br />
- Božièeviæ, Juraj: Linearna perspektiva, Zagreb 1942<br />
Vsebina: Zgodovinski razvoj opisne geometrije in njenih vej. Aksiomatika projektivne geometrije. Projektivnost in<br />
perspektivnost. Desarguesov izrek. Perspektivna kolineacija in afiniteta. Osnove projiciranja, eno- in dvoprojekcijski<br />
sestavi. Mongeova projekcija. Projiciranje toèke, premice in ravnine. Slednice, soslednice, padnice in normale ravnin.<br />
Stranski risi in vrtenje kot pomožne operacije. Pet osnovnih pozicijskih nalog. Sedem osnovnih metriènih nalog. Liki in<br />
telesa. Prebodi, preseki in predori ravnin in teles. Sence kot sistem poševne projekcije. Aksonometrièna projekcija<br />
(ortogonalna, poševna, vojaška, kavalirska). Izometrija, dimetrija in trimetrija. Osnovne pozicijske in metriène naloge v<br />
aksonometriji. Centralna projekcija. Sestav perspektivnega in koordinatnega sistema. Ve<strong>za</strong>na – arhitektna in<br />
neve<strong>za</strong>na – slikarska perspektiva. Osnovne pozicijske in metriène naloge v perspektivi. Risanje likov in teles ter sence v<br />
perspektivi.<br />
Contents: The history of descriptive geometry and it segments. Axiomatics of projective geometry. Projectivity and<br />
perspectivity. Desargue’s statement. Perspective colineation and affinity. Basics of projection, one- and two- projection<br />
systems. Monge’s projection. Projecting of point, line and plane. Trail lines, parallel trail lines, decline lines and<br />
perpendicular lines of planes. Side projections and rotation as auxiliary methods. Five basic positioning tasks. Seven<br />
basic metrical tasks. Figures and bodies. Piercing, sectioning and breaking through of plains and volumes. Shadows<br />
as a system of oblique projection. Axonometric projection (orthogonal, oblique, military, cavalier). Isometry, diametry<br />
and trimetry. Basic positioning and metrical tasks in axonometrics. Central projection. Combination of perspective<br />
and coordinative systems. Bound – architectural and free – painter’s perspective. Basic positioning and metrical<br />
tasks in perspective. Drawing of figures, bodies and shadows in perspective.<br />
leto year<br />
01<br />
02<br />
03<br />
04<br />
05<br />
45
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