Something worth noting is that with this method, you can add as many extra points as you like, to fill in any missing detail you need. I am not good at drawing freehand curves, unless there is a lot of guide points. This method produces nice results. I can’t quite get my head around the arithmetic, but it seems to utilise the knowledge that - every regular ellipse has mirror symmetry across its major and minor axes, - there are two “foci” along the major axis, equidistant from the centre, where for every point on the curve, the sum of the distances between that point and each of its foci is a constant. A visual illustration of the latter is where you use a fixed length of string tied at each end to the foci. Think of the foci as being analogous to the centre of a circle (if that circle has been sat on and split the centre point into two parts, pushed apart by the weight).
That is so interesting! I was wondering if the ratio the ellipse goes from the larger circle to the smaller (and vice versa) constant as you go trough the degrees, but I did a simple animation in Max and making it linear creates a sort of "pointy peanut" shape (I'm CERTAIN there is a proper term for that). I've always loved geometry but I never quite got the concept of SIN and COS that must be into play here. Great demonstration as always! Thank you for sharing!
hmmm... b.t.w. I've tried to animate a point going back and forth over a line attached to a spinning central object, the time it took for the point to travel the line followed a sin wave (instead of constant increments) with an amplitude that matched the time the object took to spin (so basically it would have plotted something close to an ellipse as you did in the video). It still didn't matched since it plotted the shape of an "eye" instead of an ellipse, which makes sense because I was basically just drawing half of a SIN curve and when it ended I was drawing it again backwards to get back to the stating point. Ellipses are really very curious. Of course there is a formula for that but I probably wouldn't be able to understand it, _One thing I love about your videos is that you show how to construct these perfect shapes in a graphical manner instead of just replacing variables with numbers in a mathematical formula that often contains concepts not all of us can really grasp. This was a particularly interesting video!!!_
Interesting stuff, but doesn't really achieve the task set out in the title, if we're resorting to freehand to connect the final points. Perhaps continuing on to demonstrate the French curve would be helpful. Still enjoyed the video through.
@@tonynos2050 Is it a true ellipse though? Or a simplified ellipse. I suspect the latter. Edit, A "true" ellipse (I think) can be drawn with the string and pin method which can be found on CZcams. Cheers.
So you use computer software to show us how to hand-draw something which could be better drawn with software?
its easy to understand and straight to the point, thanks
Something worth noting is that with this method, you can add as many extra points as you like, to fill in any missing detail you need. I am not good at drawing freehand curves, unless there is a lot of guide points. This method produces nice results.
I can’t quite get my head around the arithmetic, but it seems to utilise the knowledge that
- every regular ellipse has mirror symmetry across its major and minor axes,
- there are two “foci” along the major axis, equidistant from the centre, where for every point on the curve, the sum of the distances between that point and each of its foci is a constant.
A visual illustration of the latter is where you use a fixed length of string tied at each end to the foci. Think of the foci as being analogous to the centre of a circle (if that circle has been sat on and split the centre point into two parts, pushed apart by the weight).
found it easy to understand and interesting thanks
Thank you for this. Please, what's the radius of each line drawn?
That is so interesting! I was wondering if the ratio the ellipse goes from the larger circle to the smaller (and vice versa) constant as you go trough the degrees, but I did a simple animation in Max and making it linear creates a sort of "pointy peanut" shape (I'm CERTAIN there is a proper term for that). I've always loved geometry but I never quite got the concept of SIN and COS that must be into play here. Great demonstration as always! Thank you for sharing!
hmmm... b.t.w. I've tried to animate a point going back and forth over a line attached to a spinning central object, the time it took for the point to travel the line followed a sin wave (instead of constant increments) with an amplitude that matched the time the object took to spin (so basically it would have plotted something close to an ellipse as you did in the video). It still didn't matched since it plotted the shape of an "eye" instead of an ellipse, which makes sense because I was basically just drawing half of a SIN curve and when it ended I was drawing it again backwards to get back to the stating point.
Ellipses are really very curious. Of course there is a formula for that but I probably wouldn't be able to understand it, _One thing I love about your videos is that you show how to construct these perfect shapes in a graphical manner instead of just replacing variables with numbers in a mathematical formula that often contains concepts not all of us can really grasp. This was a particularly interesting video!!!_
Why is so much technical drawing content online from irish sources? Do no other countries teach it in college/secondary school?
Yu a life saver thanks for yo channel
Wow that was quite challenging:P
Thank you for the help and you just earned a sub
This is the method I was taught at school.
Thank you so much. I have an exam tomorrow and this really helped
Thanks this really helped
Thank you so much do you mind if you do it on the plain paper step by step especially the getting points part it really confuses me
Thank you so much
Very well described
Interesting stuff, but doesn't really achieve the task set out in the title, if we're resorting to freehand to connect the final points. Perhaps continuing on to demonstrate the French curve would be helpful. Still enjoyed the video through.
I don't believe there is a way of manually drawing a true ellipse without using freehand due to the compound curves other than with a stencil.
Thanks@@brianswan3559, I thought this might be the case.
@@brianswan3559 you can do it with a compass
@@tonynos2050 Is it a true ellipse though? Or a simplified ellipse.
I suspect the latter.
Edit,
A "true" ellipse (I think) can be drawn with the string and pin method which can be found on CZcams.
Cheers.
how am I supposed to do it freehand
Arthur you can make the shape of the elipse rather than free hand by combining the concentric method with 4 centre method.
Thank you soo much sir
Thank you!
Thanks
Grade 12 auxiliary view
WOW
What size is the x and y axis
How are we going to draw the epllise
You can do it freehand or with a french curved ruler.
I need to know more..
Ok
Like
This is not ellipse, this is basketcurve.
It's too difficult....
did not help sorry i failed