1 / 20

REVISION PROBLEMS FOR FIRST MID-TERM EXAM IN PROJECTION

REVISION PROBLEMS FOR FIRST MID-TERM EXAM IN PROJECTION. Next. The Main Menu. ا Previous. Example (1). Represent a point A. Given that: 1) A is at equal distances from and 2) The distance of A from the origin 0 is 8 cms

elysia
Download Presentation

REVISION PROBLEMS FOR FIRST MID-TERM EXAM IN PROJECTION

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. REVISION PROBLEMS FOR FIRST MID-TERM EXAM IN PROJECTION

  2. Next The Main Menu اPrevious Example (1) Represent a point A. Given that: 1) A is at equal distances from and 2) The distance of A from the origin 0 is 8 cms 3) The point A is above and behind , . 4) The point A lies on the left hand side of at a distance 6 cms π π y = z 1 2 A A = 8 π π 2 1 z is positive and y is negative A A x = -- 6 A

  3. 8 // Next The Main Menu اPrevious // A1= A2 = , Y is -ve , and Z is +ve A A z A1 =A2 y is -ve A3 A // // X = - 6 x A K O 12 45 . M y 45 L

  4. MISSING PROJECTIONS OF POINTS z y z z A // A = A A 1 2 A 1 y 3 A // y y y A // A A // A // A 2 x x 3 o 12 12 o o x 12 y A A = A + 2 3 // A 1 Given A and A .Find A Given A and A . Find A Given A and A . Find A 2 3 1 2 3 1 1 2 3

  5. Example (2) FIND THE MISSING PROJECTIONS z A z 1 + y x A 12 // y O + + A // A A 2 3 // B y B 3 B 2 + x + 12 O // + Given A and A B y z C 1 B 2 3 + 1 Given B and B y C 2 3 // x 12 O y C // Given C and C C 3 C 1 2 + + 2

  6. z C3 C2 m2 m3 x12 o m1 y C1 Next The Main Menu اPrevious A point C m C m 3 3 C m 2 2 C m 1 1

  7. d(A,x-axis) = 4 cms .Find the locus of A d(A,y-axis) = 4 cms. Find the locus of A 3 z 2 z Locus of A Locus of A 3 2 4 cms x x 4 cms 12 12 o o z d(A,z-axis) = 4 cms. Find the locus of A x 12 1 o 4 cms Locus of A 1

  8. EXAMPLE (3) Given the two projections of a str. Line m . Represent the following points lying on m : i) A ( 9 ,?,?) ii) B(?, -1.5,?) iii) C(?,?,2.0) iv) D if d ( D,z-axis) = 5.5 cms v) E if d( E, y-axis) = 4 cms 2 Locus of E Locus of D 1 E m 2 1 D 2 C . 2 B A 4 cms 2 1 . 1.5 cms m 2.0 cms 9 cms B 2 2 x O A 12 1 5 .5 cms C 1 D 1 E 1

  9. Next The Main Menu اPrevious 1- Traces of a straight line: Definition: The points of intersection of a straight line m with the principle planes are called TRACES The horizontal trace H = m π z = 0 1 H The vertical trace V = m y v = 0 The side trace S = m x s = 0

  10. z S2 2 m2 S = S3 O m V1 m H2 3 x 3 H V 3 H = H1 3 m1 V = V2 S1 1 y

  11. z m2 m3 S1 m1 Next The Main Menu اPrevious Example(4): S3 = S S2 V3 V2 = V H2 x12 o H3 V 1 y H = H 1

  12. EXAMPLE (5) Represent a point A lying on the given str. Line m and d(A,x-axis) = 4 cms S S 2 3 m 3 m 2 A A 2 3 LOCUS OF A 3 R= 4 H 2 H 3 H 1 A 1 m 1 S 1

  13. Example (6) : Find m and the traces of the given str. Line m 3 S S=S 2 3 m m 3 2 V H H x 2 1 3 12 45 H=H 1 S m 1 1 V=V 2 V 3

  14. Example (7) . S 2 H =H S =S B 1 3 2 B A m 3 1 2 m V = V 3 2 V 3 / -3 cms A A 3 . 2 / H O V 3 H 1 2 m 1 . Given m and m .Find i) m ii) the traces H, V and S of m iii) the point A on m if A ( ?, - 3, ?) 1 2 3 B 1 S 1 iv) The point B on m if B is the closest point to z- axis

  15. TRUE LENGTH OF A SEGMENT AB AND ITS INCLINATIONS ON π , i=1,2,3 B i z T. L B A β y x B B y A B π 2 2 y T. L B x B 3 B A B 2 y β z A B α x A O x x A A A A B 3 1 z π z B A 3 A 1 z α π A B 1 A y T.L

  16. [B] T. L z [A] [B] A3 A2 [A] T.L m3 xA m2 yA xB B3 B2 x12 yB o zA xA zB A1 xB m1 yA y yB B1 zB zA [A] T.L [B] 4- The true length of a segment of a straight line: Trapezium method β α

  17. z A3 A2 [B] [B] m2 m3 B2 B3 x12 [A] A1 m1 y Next The Main Menu اPrevious Coordinates differences method T.L T.L o T.L B1

  18. T. L T. L T. L Horizontal projection Side projection Next The Main Menu اPrevious There are three right angled triangles which are frequently used in solving problems in PROJECTION ; Vertical projection

  19. B2 A2 x12 0 1 Locus of c1 B1 A1 Example (8 ) Represent the two projections of an equilateral triangle(مثلث متساوى الاضلاع) ABC if its side AB is given and C(?, 1, ?).

  20. . Locus of c2 B2 A2 . C2 x12 0 Vertical projection. of BC B1 A1 Locus of C 2 T. L of AB AB // / 1 Locus of c1 Vertical projection. of AC C1 / // T. L of BC T. L of AC T. L of BC AB // B C 2 2 T. L of AC T.L. of AB = T.L. of AC = T.L. of BC / A C 2 2

More Related