Theme 1 basic drawing
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Theme 1 basic drawing

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Basic Drawing is the first presentation of a Technical Drawing course.

Basic Drawing is the first presentation of a Technical Drawing course.

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Theme 1 basic drawing Presentation Transcript

  • 1. TECHNICALDRAWING I
  • 2. THEME 2: BASIC PATHS IN THE PLANEBasic geometrics elements: POINT: A No dimension. C B It’s a position. Always in CAPITAL letters.
  • 3. THEME 2: BASIC PATHS IN THE PLANEBasic geometrics elements: LINE: It’s an addition of several points following the same r direction. Always in small letters; r, s, t… r r s r A s s Two lines cut each Two lines can be When the two lines other when they share parallel when the share no point, they a point. sharing point is in the cross each other. infinite.
  • 4. THEME 2: BASIC PATHS IN THE PLANEBasic geometrics elements: HALF LINE: One point is known and the A ∞→ other is in the infinite. r A point in the line defines tow ←∞ A ∞→ half-lines, one to the left and r the other to the right. SEGMENT: A B Is a kind of line defined r between two known points.
  • 5. THEME 2: BASIC PATHS IN THE PLANEBasic geometrics elements: CURVED LINE: A curved line is a group of points constantly changing direction. Always in small letters.
  • 6. THEME 2: BASIC PATHS IN THE PLANEBasic geometrics elements: PLANE: Is the set of points that arise when you move a straight line in one direction. We need the following information to define a plane: Non aligned 3 points. Two lines cutting each other. Two parallel lines. A line and a point out of the line.
  • 7. THEME 2: BASIC PATHS IN THE PLANELines within a plane: Bisecting line:
  • 8. THEME 2: BASIC PATHS IN THE PLANELines within a plane: To draw a perpendicular from “M” point outside the line:
  • 9. THEME 2: BASIC PATHS IN THE PLANELines within a plane: To draw a perpendicular from “P” point inside the line:
  • 10. THEME 2: BASIC PATHS IN THE PLANELines within a plane: To construct a perpendicular at the end of a given line:
  • 11. THEME 2: BASIC PATHS IN THE PLANELines within a plane: ● To draw parallel lines with the set squares:
  • 12. THEME 2: BASIC PATHS IN THE PLANELines within a plane: ● To draw perpendicular lines with the set squares:
  • 13. THEME 2: BASIC PATHS IN THE PLANEBasic geometrics elements:ANGLES: Is a measure of a turn. We use a protractor to measure an angle. Sometimes we use letters from Greek alphabet to name angles; α, β, γ, δ… And sometimes we name (B) the vertex of the angle and (choosing A and C points) on the two sides; we write ABC. So the angle reads ABC. Different kind of angles: Null angle: α = 0° Acute angle: α < 90° Right angle: α = 90° Obtuse angle: α > 90° Plain angle: α = 180° Complete angle: α = 360°
  • 14. THEME 2: BASIC PATHS IN THE PLANEBasic geometrics elements:ANGLES: Two lines cutting each other at point O creates the following angles; β α γ δ  Adjacent angles: α and β. Same vertex and side in common.  Angles opposite at vertex; α and γ; β and δ. So, α and γ / β and δ are of the same value.
  • 15. THEME 2: BASIC PATHS IN THE PLANEOperations with angles :To construct an angle similar to a given angle;
  • 16. THEME 2: BASIC PATHS IN THE PLANEOperations with angles :Summing up angles;
  • 17. THEME 2: BASIC PATHS IN THE PLANEOperations with angles :Difference between angles;
  • 18. THEME 2: BASIC PATHS IN THE PLANEOperations with angles :To bisect an angle (bisector);
  • 19. THEME 2: BASIC PATHS IN THE PLANEOperations with angles :To bisect an angle (bisector);
  • 20. THEME 2: BASIC PATHS IN THE PLANEOperations with angles :Drawing angles;60 angle: 90 angle:45 angle: 30 angle:15 angle: 75 angle:
  • 21. THEME 2: BASIC PATHS IN THE PLANEOperations with angles :Drawing angles;105 angle: 120 angle:135 angle: 150 angle:
  • 22. THEME 2: BASIC PATHS IN THE PLANEGeometric places:The set of points having the same geometric characteristics.1. Circumference:2. Bisecting line:
  • 23. THEME 2: BASIC PATHS IN THE PLANEGeometric places:3. Bisector line:4. The loci arc of a segment (depending on the angle):
  • 24. THEME 2: BASIC PATHS IN THE PLANECircumference:A circle is a plain figure bounded by a curved line called thecircumference, witch is always equidistant from the centre.Lines of a circumference: Radius; Any of the straight lines from the centre to the circumferences. The radius is half the diameter of the circumference. Diameter: The longest possible chord of a circumference. A line passing through the centre with both ends touching the circumference.
  • 25. THEME 2: BASIC PATHS IN THE PLANECircumference: Chord: A straight line, witch each end touching the circumference. Arrow; It’s a part of the radius between the chord and the circumference. The radius is perpendicular to the chord. Secant: A line that cuts the circumference at two points. Tangent: A line touching the circumference at one point. Forms a right angle with a radius of the circle. T is the point contact.
  • 26. THEME 2: BASIC PATHS IN THE PLANECircumference:
  • 27. THEME 2: BASIC PATHS IN THE PLANECircumference:To construct a circumference when you have 3 points.
  • 28. THEME 3: TRIANGLES, SQUARES AND REGULAR POLYGONSTRIANGLES: Is a polygon formed by three segments. The addition of every inner angles of a triangle is always 180º. α + β + γ = 180º The value of the outside angle of a triangle is the addition ofthe two non-adjacent inside angles.
  • 29. THEME 3: TRIANGLES, SQUARES AND REGULAR POLYGONSTRIANGLES: In every triangle, any side is always smaller than the addition ofthe other two; a<b+c And any side is larger than the subtraction of the other two; b>a-c In every triangle the larger angle is in front of the larger side; c > a; γ > α
  • 30. THEME 3: TRIANGLES, SQUARES AND REGULAR POLYGONSCLASSIFICATION OF TRIANGLES: Depending on sides; Equilateral: Isosceles: Scalene:
  • 31. THEME 3: TRIANGLES, SQUARES AND REGULAR POLYGONSCLASSIFICATION OF TRIANGLES: Depending on angles; Acute: Right: Obtuse:
  • 32. THEME 3: TRIANGLES, SQUARES AND REGULAR POLYGONSREMARKABLE LINES AND POINTS OF A TRIANGLE: Bisector / Incentre / Inscribed circle to a triangle.
  • 33. THEME 3: TRIANGLES, SQUARES AND REGULAR POLYGONSREMARKABLE LINES AND POINTS OF A TRIANGLE: Bisecting line / Circumcentre / Circumscribed circle to a triangle.
  • 34. THEME 3: TRIANGLES, SQUARES AND REGULAR POLYGONSREMARKABLE LINES AND POINTS OF A TRIANGLE: Altitudes / Orthocentre.
  • 35. THEME 3: TRIANGLES, SQUARES AND REGULAR POLYGONSREMARKABLE LINES AND POINTS OF A TRIANGLE: Baricentre or Centre of Gravity.
  • 36. THEME 3: TRIANGLES, SQUARES AND REGULAR POLYGONSCONSTRUCTING TRIANGLES: a) Knowing the 3 sides a, b and c.b) Knowing 2 of the sides and the angle between them.c) Knowing one side, a, and the angles B and C.
  • 37. THEME 3: TRIANGLES, QUADRILATERALS AND REGULAR POLYGONSQUADRILATERAL: It is an polygon formed by 4 sides. QUADRILATERALS Trapezium (two PARALELOGRAM sides are parallels, Trapezoid (no (Two by two, sides the other two parallel sides) are parallel) aren’t)
  • 38. THEME 3: TRIANGLES, QUADRILATERALS AND REGULAR POLYGONSQUADRILATERAL: Square Rectangle.PARALELOGRAM (Two by two,sides are parallel) Rhombus. Rhomboid
  • 39. THEME 3: TRIANGLES, QUADRILATERALS AND REGULAR POLYGONSQUADRILATERAL: Trapezium (two sides are parallels, the other two aren’t) Isosceles Right Scalene
  • 40. THEME 3: TRIANGLES, QUADRILATERALS AND REGULAR POLYGONSQUADRILATERAL:
  • 41. THEME 3: TRIANGLES, QUADRILATERALS AND REGULAR POLYGONSREGULAR POLYGONS: What is a Polygon? A closed plane figure made up of several line segments that are joined together. The sides do not cross each other. Exactly two sides meet at every vertex.
  • 42. THEME 3: TRIANGLES, QUADRILATERALS AND REGULAR POLYGONSREGULAR POLYGONS: One polygon is regular if all the sides and all the angles are equal. l = Side. a = Apoteme r = Radius α = 180º - (360º / n) λ = 360º / n
  • 43. THEME 3: TRIANGLES, QUADRILATERALS AND REGULAR POLYGONSREGULAR POLYGONS: Regular Hexagon.
  • 44. THEME 3: TRIANGLES, QUADRILATERALS AND REGULAR POLYGONSREGULAR POLYGONS: Regular triangle; equilateral triangle.
  • 45. THEME 3: TRIANGLES, QUADRILATERALS AND REGULAR POLYGONSREGULAR POLYGONS: Dodecagon.
  • 46. THEME 3: TRIANGLES, QUADRILATERALS AND REGULAR POLYGONSREGULAR POLYGONS: Square.
  • 47. THEME 3: TRIANGLES, QUADRILATERALS AND REGULAR POLYGONSREGULAR POLYGONS: Octagon.
  • 48. THEME 3: TRIANGLES, QUADRILATERALS AND REGULAR POLYGONSREGULAR POLYGONS: Pentagon
  • 49. THEME 3: TRIANGLES, QUADRILATERALS AND REGULAR POLYGONSREGULAR POLYGONS: Decagon
  • 50. THEME 3: TRIANGLES, QUADRILATERALS AND REGULAR POLYGONSREGULAR POLYGONS: Heptagon
  • 51. THEME 3: TRIANGLES, QUADRILATERALS AND REGULAR POLYGONSREGULAR POLYGONS: General way.
  • 52. THEME 3: TRIANGLES, QUADRILATERALS AND REGULAR POLYGONSREGULAR POLYGONS: Pentagon (knowing the the side)
  • 53. THEME 3: TRIANGLES, QUADRILATERALS AND REGULAR POLYGONSREGULAR POLYGONS: Hexagon (knowing the the side)
  • 54. THEME 3: TRIANGLES, QUADRILATERALS AND REGULAR POLYGONSREGULAR POLYGONS: Heptagon (knowing the the side)
  • 55. THEME 3: TRIANGLES, QUADRILATERALS AND REGULAR POLYGONSREGULAR POLYGONS: Octagon (knowing the the side)
  • 56. THEME 3: TRIANGLES, QUADRILATERALS AND REGULAR POLYGONSREGULAR POLYGONS: Nonagon, Enneagon (knowing the the side)
  • 57. THEME 3: TRIANGLES, QUADRILATERALS AND REGULAR POLYGONSREGULAR POLYGONS: Decagon (knowing the the side)
  • 58. THEME 3: TRIANGLES, QUADRILATERALS AND REGULAR POLYGONSREGULAR POLYGONS: General way (knowing the the side)