PAU Technical Drawing Applied to Plastic Arts and Design II study plan

Construct tangent lines and tangent circles to a given circle from an external point using compass-and-straightedge steps, showing all construction arcs

Bisect angles and segments and draw perpendiculars using only compass and unruled straightedge, verifying each result by measurement

Divide a segment into n equal parts using Thales' intercept theorem for n = 3, 5 and 7

Build a personal template sheet of regular polygons (triangle to dodecagon) inscribed in a 60 mm circle

Construct ellipses by the concentric-circle method and the trammel method, and compare the resulting curves for the same major and minor axes

Draw parabolas and hyperbolas from directrix-focus definitions and from a given asymptote pair

Construct ovals (four-centre) and ovoids and identify where each approximation departs from a true ellipse

Apply golden-section division to a given segment and use it to lay out a rectangle of ratio 1:1.618

Apply homothety and rotation to transform a given planar figure and state the centre, ratio and angle used

Solve three tangency problems of the Apollonius type (circle tangent to two lines and a circle) by the dilation method

Analyse a poster or logo of your choice and mark on a tracing overlay the underlying geometric grid, symmetry axes and proportion ratios

Redraw one element of that analysis at double scale using only geometric construction

Project points, lines and planes into the three principal planes and determine true lengths and true angles by the rotation and change-of-plane methods

Find the intersection line of two planes and the piercing point of a line through a plane, showing auxiliary views

Construct the true shape of a sectioned plane figure from its projections

Draw the three-view multiview (front, top, side) of a simple stepped solid on a 5 mm grid, keeping alignment and projection lines

Produce the multiview of a solid with inclined faces and a cylindrical hole, applying hidden-line conventions correctly

Apply first-angle and third-angle projection to the same object and label the symbol for each system

Dimension a completed multiview following ISO conventions: extension lines, arrowheads, leaders, radii, diameters and omitted repetition

Select and justify a scale (1:1, 1:2, 2:1) for three given objects of different sizes

Construct isometric, dimetric and trimetric axonometries of the same cube-based solid and compare the three

Draw an isometric projection with isometric circles (ellipses) on all three faces of a cube

Build a one-point and a two-point perspective of a simple box composition using vanishing points and a horizon line

Locate and correct common perspective errors (wrong vanishing points, inconsistent horizon) in two sample drawings you produce yourself

Analyse proportion in three reference works (one painting, one product, one architectural facade) and quantify the ratios found

Compose a two-dimensional design using at least three principles (rhythm, hierarchy, balance) and document the geometric decisions behind it

Develop a small design brief (object or poster) and translate it into a set of working drawings

Produce a preliminary sketch set that moves from freehand ideation to constructed geometry

Complete the week-7 design as a finished technical drawing set: plan, elevation and axonometric or perspective view

Dimension and annotate the finished set to ISO conventions and add a title block, scale and north or orientation reference

Review the whole set against a self-made checklist of normalization rules and correct every deviation found

Rehearse exam timing by completing one full mock section (plane geometry plus one multiview) under a 90-minute limit