Drawing ellipse by eccentricity method

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The document provides instructions to construct an ellipse given a focus distance of 50mm and eccentricity of 2/3, and then draw a tangent and normal to the ellipse. It involves marking several points along horizontal and vertical lines to locate the focus, directrix, and vertices of the ellipse through geometric constructions. It then identifies a point on the ellipse to draw the tangent line perpendicular to the line from the focus, and the normal line perpendicular to both the tangent and the line between the point and focus.

Draw a
horizontal line
as shown
Construct an ellipse when the
distance of the focus from its
Directrix is equal to 50mm and
eccentricity is 2/3.Also draw z
tangent and a normal to the
ellipse

Draw a vertical
line line as
shown(Directrix)

50
Mark a point
50mm from
vertical line on
horizontal line
as shown
o

50
Name the
point as
F(Focus) as
shown
F
o

F
2030
Mark a point on
horizontal line 20 mm
from F as shown
o

FV
Draw a line at V equal to
VF as shown
o

450FV
1
o
Draw a line 450 to
horizontal line from
F and mark point P
when it cuts the
extended line of O1
P

FV
1
o
P
Draw a vertical line
from F and mark the
point 2 as shown
2

FV
1
o
P
2
Draw a vertical
line from Point
P to the
horizontal line
as shown and
mark the point
as e
e

FV
1
o
P
2
e
Draw a bisector line
for V e as shown
and mark the point
as M and N as
shown
M
N
= =

FV
1
o
P
2
eM
N
3
Mark point 3
such that MN=F3

FV
1
P
2
eM
N
3
Join V23 by smooth
curve as shown
o

FV
1
P
2
eM
N
3
Draw mirror
image of the
curve as
shown
o

DAW LINES AS
SHOWN as
shown
FV
1
P
2
eM
N
3
o

FV
1
P
2
eM
N
3
Mark the Points
as shown
o

FV
1
P
2
eM
N
3
o
Locate a point s as
per given
dimension to draw
tangent and
normal as shown
s

FV
1
P
2
eM
N
3
o
s
Draw a line QF
perpendicular to
FS as shown
Q

FV
1
P
2
eM
N
3
o
s
Draw a line QQ’
Joining QS as
shown
Q
Q’

FV
1
P
2
eM
N
3
o
s
Draw a line NN’
Through S
perpendicular to QQ’
as shown
Q
Q’
N’
N

FV
1
P
2
eM
N
3
o
s
Q
Q’
N’
N
Ellipse
Normal
Tangent

The document discusses the projection of solids in engineering graphics. It describes different types of solids including polyhedra like cubes and pyramids. It also covers solids of revolution like cylinders and cones. It explains how to project these solids by assuming their position and drawing front and top views in three steps. Dimensional parameters, inclined positions, and problems involving various solids are also covered.

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More from Prof. S.Rajendiran (20)

Problem1 Engineering mechanicsProf. S.Rajendiran

Step by step Engineering Mechanics updatedProf. S.Rajendiran

1. The document provides information on engineering mechanics concepts including trigonometric functions related to right triangles, angle and side relationships in triangles, centroids, moments of inertia, and torque. 2. Formulas are given for finding the centroid, moment of inertia, and polar moment of inertia through integration as well as the torque created by a force applied at a radius. 3. Key concepts discussed include equilibrium, center of gravity, centroid, moment of inertia, polar moment, couple, and instantaneous center. Diagrams illustrate these concepts and their applications.

Presentationcycloid reference point from topProf. S.Rajendiran

The document describes a new procedure developed by Ashoka Institution for drawing a cycloid curve, which involves a rolling circle completing one revolution. The procedure divides the circumference of a circle into 12 equal parts. As the circle rolls without slipping, the successive positions of a point on the circle generate the cycloid curve. The document provides step-by-step instructions for using this procedure to draw a cycloid for a problem involving a 50mm diameter circle, and locating a point 40mm above the baseline, finding the tangent and normal to the curve at that point.

isometric projectionProf. S.Rajendiran

The document provides step-by-step instructions for drawing the isometric projection of a hexagonal prism with a square hole. It describes: 1) Drawing a hexagonal prism with a side of 20mm and height of 40mm with a 16mm square hole passing through the center. 2) Constructing the front and top views of the prism and hole. 3) Transferring the views and drawing hidden lines to create the isometric projection.

Projection of Hexagonal Prism Prof. S.Rajendiran

A hexagonal prism with a base side of 30mm and axis length of 60mm is resting on its base corner on a horizontal plane (HP). The problem asks to draw the projections of the prism and determine the length of the diagonal that passes through the bottom corner and is perpendicular to the HP. The document provides step-by-step instructions and diagrams showing how to draw the top view, front view, and determine the length of the required diagonal.

Circular plane ProjectionProf. S.Rajendiran

A circle of diameter 70mm is drawn on the horizontal plane (HP). The plane is inclined such that the top view is an ellipse with a minor axis of 40mm. A diameter of the circle passes through a point A on the circumference and makes an angle of 45 degrees with the vertical plane (VP). The document provides step-by-step instructions to determine the inclination of the inclined plane with respect to the HP based on the given information.

Projection of Pentagonal PyramidProf. S.Rajendiran

Projection of Pentagonal Pyramid solidProf. S.Rajendiran

The document provides instructions for drawing the projections of a pentagonal pyramid with a base size of 30mm and axis length of 60mm. The pyramid rests on its base side on the horizontal plane (HP) with one triangular face perpendicular to both the vertical plane (VP) and HP and its axis parallel to VP. The top and front views of the pyramid are drawn showing the necessary points marked and joined to illustrate the projections.

Projection of rectangular PlaneProf. S.Rajendiran

- A thin rectangular plate measuring 60 mm x 30 mm has its shorter 30 mm side along the vertical plane and inclined at 30 degrees to the horizontal plane. - The document provides step-by-step instructions for projecting the top view of the rectangular plate given that its front view is a 30 mm square. - The resulting top view projection is a trapezium with sides of lengths 30 mm, 60 mm, 30 mm and 60 mm and the shorter base making an angle of 30 degrees with the longer base.

Projection of hexagonal pyramid step by step by processProf. S.Rajendiran

A hexagonal pyramid with a base side of 30mm and height of 60mm is resting on one base corner. The axis is inclined at 35 degrees to the horizontal plane and parallel to the vertical plane. The summary provides the key details about the object (hexagonal pyramid), its dimensions (base side of 30mm, height of 60mm), how it is resting (on one base corner), and the orientation of its axis (inclined at 35 degrees to the horizontal plane and parallel to the vertical plane).

Drawing ellipse by concentric circle method Prof. S.Rajendiran

CNC Programmingmodifies examination 1Prof. S.Rajendiran

The document discusses CNC programming and machining. It defines CNC and describes how a typical CNC system consists of six main elements: the part program, program input device, machine control unit, drive system, machine tool, and feedback system. It then explains key aspects of CNC programming including common G and M codes, tool paths, absolute and incremental positioning, and provides an example program.

Projection of Circular plane step by Step ProcessProf. S.Rajendiran

Step by Step Process of Projection of Pentagonal Plane New approachProf. S.Rajendiran

Drawing involute explained in different way than bookProf. S.Rajendiran

ENGINEERING MATERIALS AND METALLURGY Part - IProf. S.Rajendiran

1. The document discusses the constitution of alloys and phase diagrams. It describes different types of solid solutions like substitutional and interstitial solutions and classifies phase diagrams as unary, binary, and ternary. 2. The iron-iron carbide equilibrium diagram is examined in detail. It identifies the various phases involved like ferrite, austenite, and cementite. Critical temperatures like A1, A2, A3 are defined. 3. The microstructure and properties of steels and cast irons are determined by their position in the iron-carbon phase diagram and the phases present at room temperature. Hypoeutectoid steels contain ferrite and pearlite while hyp

Projection of Plane Step by step ProcessProf. S.Rajendiran

The document provides instructions to draw the projections of a regular hexagon with sides of 25mm that is oriented in the given position in space. The hexagon has one side in the horizontal plane and inclined at 60 degrees to the vertical plane, with its surface making an angle of 45 degrees to the horizontal plane. The steps include drawing the hexagon, front view, top view rotated to show the inclined side, and using projectors to obtain the inclined side view.

Projection of solid cone Step by step ProcessProf. S.Rajendiran

The document provides instructions for drawing the projections of a cone with a 40 mm diameter and 50 mm axis that is resting on one generator parallel to the vertical plane (VP) and horizontal plane (HP). It involves the following steps: 1) Drawing the front and top views of the cone by dividing a circle representing its base into 8 equal parts. 2) Drawing projectors from different points on the front view to the corresponding points on the top view. 3) Joining the corresponding points between the two views with straight lines to form the projections.

Projectiom of hexognal solid step by step processProf. S.Rajendiran

Step by Step process of drawing iosmetric view to Orthographic viewProf. S.Rajendiran

Problem1 Engineering mechanicsProf. S.Rajendiran

Step by step Engineering Mechanics updatedProf. S.Rajendiran

Presentationcycloid reference point from topProf. S.Rajendiran

isometric projectionProf. S.Rajendiran

Projection of Hexagonal Prism Prof. S.Rajendiran

Circular plane ProjectionProf. S.Rajendiran

Projection of Pentagonal PyramidProf. S.Rajendiran

Projection of Pentagonal Pyramid solidProf. S.Rajendiran

Projection of rectangular PlaneProf. S.Rajendiran

Projection of hexagonal pyramid step by step by processProf. S.Rajendiran

Drawing ellipse by concentric circle method Prof. S.Rajendiran

CNC Programmingmodifies examination 1Prof. S.Rajendiran

Projection of Circular plane step by Step ProcessProf. S.Rajendiran

Step by Step Process of Projection of Pentagonal Plane New approachProf. S.Rajendiran

Drawing involute explained in different way than bookProf. S.Rajendiran

ENGINEERING MATERIALS AND METALLURGY Part - IProf. S.Rajendiran

Projection of Plane Step by step ProcessProf. S.Rajendiran

Projection of solid cone Step by step ProcessProf. S.Rajendiran

Projectiom of hexognal solid step by step processProf. S.Rajendiran

Step by Step process of drawing iosmetric view to Orthographic viewProf. S.Rajendiran

Drawing ellipse by eccentricity method

1. Draw a horizontal line as shown Construct an ellipse when the distance of the focus from its Directrix is equal to 50mm and eccentricity is 2/3.Also draw z tangent and a normal to the ellipse

2. Draw a vertical line line as shown(Directrix)

3. Mark the point as o as shown o

4. 50 Mark a point 50mm from vertical line on horizontal line as shown o

5. 50 Name the point as F(Focus) as shown F o

6. F 2030 Mark a point on horizontal line 20 mm from F as shown o

7. F 2030 Name the point as v as shown V o

8. FV Draw a line at V equal to VF as shown o

9. FV 1 o Mark the point as 1 as shown

10. FV 1 o JOIN O1 and extend as shown

11. 450FV 1 o Draw a line 450 to horizontal line from F and mark point P when it cuts the extended line of O1 P

12. FV 1 o P Draw a vertical line from F and mark the point 2 as shown 2

13. FV 1 o P 2 Draw a vertical line from Point P to the horizontal line as shown and mark the point as e e