The most natural representation for a picture inside the computer is therefore just a list of the colours for each dot in the output this is called a BITMAPPED representation. The most common graphical display devices are the CATHODE RAY TUBE inside a monitor, and the PRINTER, both of which present pictures as two-dimensional arrays of dots. Since a computer can ultimately deal only with binary numbers, pictures have to be DIGITIZED (reduced to lists of numbers) in order to be stored, processed or displayed. This distinction is lost now that almost all computers employ a GRAPHICAL USER INTERFACE. The term came into use when there was still a distinction between computers that could display only text and those that could also display pictures. These are the things we will learn in lecture 9., Thank you.Pictures on a computer display or the process of creating pictures on a computer display. Similarly, how to draw a tangent, to a circle from an exterior point and a regular polygon has to be constructed for a given, side, how to do that. In the next class, we will learn, more about drawing a normal and a tangent to a circle. So, R, we use millimeters as the notation R 34 for that, circle., (Refer Slide Time: 19:36),, In today's class, we have learned how to bisect an angle, how to trisect an angle, how to, divide a circle, and a circle passing through three points. So, for that, you see, there is a circle that is passing, through A, B, and C points with radius O., If one requires the distance between that AO is the radius of that circle, something like the, leader lines we show, R whatever those units. Let us call that point O., Now, join AB, that must be the radius. Similarly, now from BC, centre B, the intersected points, pick that, join them., So, it looks like this is the point where they are going to intersect. We do not know where exactly centralizing. Join AB, join BC., Now, draw a perpendicular bisector from centre A, similarly construct from B, identify, points and join these two points. Let us join these points, let us name them as A, B, and C. What we know is three points we know A, perhaps some, point B, maybe some point C. Those points we can join it, straight away divide that, circle. The easiest way is 0, 45, 90, and so, on plus addition to 360 if we mark it. So, draw a line, first construct, something like a line, use your protractor, mark particular points easiest way, divide that., If it is something like we would like to divide this full 360 degrees into 8 equal parts first, second, third, fourth, fifth, sixth, seventh, and eighth. So, this is the first part, the second part, and this is the third, part this is the way we trisect an angle., (Refer Slide Time: 11:26),, If it is something like a circle, the easiest way is if we would like to divide a circle, first, draw a circle. The points are D, the point is E, and once it is done, join them. From C, with the same, radius, mark an arc similarly, from B mark an arc, join. Once it is done, extend through scale so that, we have point B also here and an arc passing through B and C. (Refer Slide Time: 09:36), Now, we have to do the first step a radius A to B passes through that arc either A to B or, A to C. With the same, radius pick B, mark an arc, where it is intersecting, call that point as C. Now, with Q as a centre, at some distance with radius mark curves say these points as A and B. Let us look at geometric construction on the sheet., (Refer Slide Time: 03:47),, Let us draw an angle, somewhere mark it. Once it is done, this, angle and this angle becomes the same. One C is known from C to Q, join it by a line. Mark a curve, from A as the centre, similarly from B as centre mark another arc, where it is intersecting, call that point as C. But first of all, make an arc that will intersect Q to P at A and Q to R at B., Then, use points A and B as centers with the same radius or arbitrary radius. So, because we, know from P to Q maybe half of the distance or lower than that, more than that, it does not, matter. So, we have to use Q mark a random radius. To bisect an angle PQR, first of all, we have to mark points A mark point A and B from, Q with an arbitrary radius.
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