Theme 2 joining and technical curves

TECHNICAL
DRAWING I
DU 2: JOINING AND
TECHNICAL CURVES

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.

Joining: 1

Joining 2:

Joining 3:

Joining 4:

Joining 5:

Joining 6:

Joining 7:

Joining 8:

Joining 9:

1.Tangent lines to circles:
1.1.Tangent to a circle at a point T. only one solution

1.2. Parallel lines to a given direction “d”, that are tangents lines
to a circle. Two solutions.

1.3. Tangents lines to a circle that pass through an external
point P. Two solutions.

1.4. Tangent lines to two circles at a time. Four solutions.

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.

2.2. Tangent circles to another circle on the point T, knowing
the radius of the circle. Two solutions.

2.3. Tangent circle to a line on the point T, that passes through
an external point Q. Only one solution.

2.4. Tangent circle to another circle in the point T, that passes
through an external point Q. Only one solution.

2.5. Tangent circles to a line, passing through an external point
P, knowing the radius of the solution circles. Two solutions.

2.6. Tangent circles to another circle, passing through an external
point P, knowing the radius of the solution circles. Four solutions.

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.

tangent point T in the line. Two solutions.

radius of the solution circle. Maximum eight solutions.

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.

4.2. Tangent circles to two lines, knowing the radius of the
solution circle. Four solutions.

4.3. Tangent circles to other two circles, knowing the radius of the
solution circle. Eight possible solutions.

Exercises:

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.

1.1. Knowing the main axis.

1.2. Knowing the small axis.

1.3. Knowing the two axes.

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.

Technical curves 2: OVOID.
2.2. Knowing the small axis.

Technical curves 3: Arquimedean SPIRAL.

Technical curves 4: VOLUTE.

CONIC CURVES.

Conic curves 1: ELLIPSE

1.1. Knowing the two axes; first method.

1.1. Knowing the two axes; second method.

Conic curves 2: PARABOLA

Conic curves 2: PARABOLA
2.1. Knowing the axis, the vertex and the guideline.

Conic curves 3: HYPERBOLA

Conic curves 3: HYPERBOLA
3.1. Knowing the two axes.

Theme 2 joining and technical curves

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