 Today's topic is projections of line. Learning outcomes. At the end of this session student will be able to draw the projections of line with different end conditions. So, this is the simple problem I am going to take. A line measuring 70 mm has its end 15 mm in front of VP and 20 mm above HP and the other end B 60 mm in front of VP and 50 mm above HP. Draw the projections of line and find out the inclination of the line. So, now, so I have to write down the given data. So, line measuring 70 mm AB line is given 70 mm and two different ends are given. So, by taking that ends conditions are distance I have to draw the draw the line. So, first what I have to do I have to take a reference line I have to take a reference line. So, this is the reference line and this is the x y line and it is given 70 mm has its one end 15 mm in front of VP. It means I have to take 15 mm in front of VP and another end is given 50 mm. So, 60 mm in front of VP I have to take 60 mm from this and another end A is given that is 15 20 mm above HP and 50 mm above HP. Then what I have to do I have to take 20 mm above HP here and 50 mm from here I have to take 50 mm this side. Then what I have to do I have to take the I have to draw the projections of these lines sorry locus of this line this is the locus of point A and this is the locus of another point B and similarly locus of point A and locus of point B. Then so I have to write down this what is the next step is a line measuring 70 mm then what I have to do I have to take the 70 mm from this this point. So, this is the 70 mm and similarly from this point I have to measure the 70 mm then I have to mention the points this is the AF and this is the BF dash this is the AH and this is the BH dash line. Then next I have to write down the locus of this locus of BF dash this is the locus of BH dash this is the locus of AH and this is the locus of AF. Then what I have to do next I have to project these lines so I have to project the line up to locus of AH and this from BF dash I have to project the line up to AH. So, I have I am getting two points here this is the point 1 and point 2 and I will going to mention the name this is the BF B1F and this is the B1H point. So, next what I have to do I have to rotate this line A as AF as a center and B1 dash is a distance then I have to rotate this line and intersect with the locus of B1 BF dash and AH as a center and B1H is the distance and I have to rotate this line and up to BBH dash locus point. Then I am getting these two points. So, this point is called as BF and this point is called as BH. Then I have to draw the front view and top view. So, from this I have to draw the front view. So, this is the front view I am getting and this is the top view I am getting. Now, so the next step is we have to calculate the angles apparent angle as well as true length inclination. So, this is the true length inclination and this is the apparent angle we have to calculate. So, theta we have to calculate alpha we have to calculate phi we have to calculate and beta we have to calculate. So, first I will going to show you the how to calculate the beta and phi then we have to calculate the alpha and beta. So, what I have to do I have to take this and I will going to measure the phi theta theta I am getting here is 26. So, I am getting the theta is equal to 26 degree and I have to calculate the phi u. So, I am getting here phi is equal to 39 degree. So, pause the video and calculate the apparent angle alpha and beta I hope you have calculated the calculated the alpha and beta. So, I will going to show you how to calculate the beta now beta and alpha. So, I have to do what I have to do I have to take this and I will going to measure the angle I am getting here 40 is the alpha 40 degree is the alpha and similarly I have to calculate the beta. So, here I am getting 45 is the beta degree is the beta. So, this is and now I have to show you the how the lines is flow this is the direction of flow of lines. So, this is how we are going to calculate the simple problems by taking the two different conditions and true length is given. So, thank you.