The document discusses technical drawing techniques for joining pieces and drawing technical curves. It covers various methods for drawing tangent lines and circles, ovals,ovoids, spirals, volutes, ellipses, parabolas, and hyperbolas. The objectives are to accurately draw pieces joined by different connections and technical curves like conic sections and spirals with principal and auxiliary lines distinguished. Exercises are provided to reinforce these techniques.
2. THEME 2: JOINING AND TECHNICAL CURVES
Objectives and evaluation criteria:
Helburua Minimoa 2. maila 3. maila
H1: Zirkunferentzia eta zuzenen Zirkunferentzia eta Zirkunferentzia eta Eraikuntzak
arteko ukitzaile eta lotura zuzenen arteko zuzenen arteko zehaztasunez
desberdinen bidez bi dimensiotan ukitzaile edo loturen ukitzaile edo loturen egitea.
adierazitako piezak eraikitzea, bidez eraikuntzak bidez pieza osoak
txukun eta garbi marraztuz eta lerro egitea. marraztea.
printzipalak eta laguntzaileak
bereiztuz..
H2:Kurba koniko (elipse, parabola Kurba tekniko Kurba koniko Kurbak
eta hiperbola) eta teknikoen (obaloa desberdinak desberdinak zehaztasunez
eta oboidea) marrazkiak deduzitzea, marraztea. marraztea. marraztea.
zehaztasunez marraztuz, txukun eta
garbi marraztuz eta lerro
printzipalak eta laguntzaileak
bereiztuz.
12. THEME 2: JOINING AND TECHNICAL CURVES
1.Tangent lines to circles:
1.1.Tangent to a circle at a point T. only one solution
13. THEME 2: JOINING AND TECHNICAL CURVES
1.Tangent lines to circles:
1.2. Parallel lines to a given direction “d”, that are tangents lines
to a circle. Two solutions.
14. THEME 2: JOINING AND TECHNICAL CURVES
1.Tangent lines to circles:
1.3. Tangents lines to a circle that pass through an external
point P. Two solutions.
15. THEME 2: JOINING AND TECHNICAL CURVES
1.Tangent lines to circles:
1.4. Tangent lines to two circles at a time. Four solutions.
16. THEME 2: JOINING AND TECHNICAL CURVES
2. Circles tangent to a circle or a line:
2.1. Circles tangent to a line on the point T, knowing the radius
of the circle. Two solutions.
17. THEME 2: JOINING AND TECHNICAL CURVES
2. Circles tangent to a circle or a line:
2.2. Tangent circles to another circle on the point T, knowing
the radius of the circle. Two solutions.
18. THEME 2: JOINING AND TECHNICAL CURVES
2. Circles tangent to a circle or a line:
2.3. Tangent circle to a line on the point T, that passes through
an external point Q. Only one solution.
19. THEME 2: JOINING AND TECHNICAL CURVES
2. Circles tangent to a circle or a line:
2.4. Tangent circle to another circle in the point T, that passes
through an external point Q. Only one solution.
20. THEME 2: JOINING AND TECHNICAL CURVES
2. Circles tangent to a circle or a line:
2.5. Tangent circles to a line, passing through an external point
P, knowing the radius of the solution circles. Two solutions.
21. THEME 2: JOINING AND TECHNICAL CURVES
2. Circles tangent to a circle or a line:
2.6. Tangent circles to another circle, passing through an external
point P, knowing the radius of the solution circles. Four solutions.
22. THEME 2: JOINING AND TECHNICAL CURVES
3. Circles tangent to a circle and to a line at a time:
3.1. Tangent circles to another circle and to a line, knowing the
tangent point T in the circle. Two solutions.
23. THEME 2: JOINING AND TECHNICAL CURVES
3. Circles tangent to a circle and to a line at a time:
3.2. Tangent circles to another circle and to a line, knowing the
tangent point T in the line. Two solutions.
24. THEME 2: JOINING AND TECHNICAL CURVES
3. Circles tangent to a circle and to a line at a time:
3.3. Tangent circles to another circle and to a line, knowing the
radius of the solution circle. Maximum eight solutions.
25. THEME 2: JOINING AND TECHNICAL CURVES
4. Circles tangent to two circles or two lines:
4.1. Tangent circles to two lines, knowing the tangent point T in
one of the lines. Two solutions.
26. THEME 2: JOINING AND TECHNICAL CURVES
4. Circles tangent to two circles or two lines:
4.2. Tangent circles to two lines, knowing the radius of the
solution circle. Four solutions.
27. THEME 2: JOINING AND TECHNICAL CURVES
4. Circles tangent to two circles or two lines:
4.3. Tangent circles to other two circles, knowing the radius of the
solution circle. Eight possible solutions.
34. THEME 2: JOINING AND TECHNICAL CURVES
Technical curves 1: OVAL
OVAL:
It’s a closed curve, where all the points are
symmetric about the two perpendicular axes
and made by circumference arcs.
35. THEME 2: JOINING AND TECHNICAL CURVES
Technical curves 1: OVAL
1.1. Knowing the main axis.
36. THEME 2: JOINING AND TECHNICAL CURVES
Technical curves 1: OVAL
1.2. Knowing the small axis.
37. THEME 2: JOINING AND TECHNICAL CURVES
Technical curves 1: OVAL
1.3. Knowing the two axes.
38. THEME 2: JOINING AND TECHNICAL CURVES
Technical curves 2: OVOID.
OVOID:
It’s a closed curve, where all the points are symmetric about one
axis and made by circumference arcs.
2.1. Knowing the main axis.
39. THEME 2: JOINING AND TECHNICAL CURVES
Technical curves 2: OVOID.
2.2. Knowing the small axis.