proves that the lines that join a point of a circle to the vertices of a square inscribed in it

Step 1: Draw a circle and inscribe a square within it.

Proves that the lines that join a point of a circle to the...

Transcript

00:01 Question number 17.

00:06 Here is given that there is a circle that a circle, okay, circle of plane is there is a plane, okay? and it is given that center is, there is center, okay? it's over the center.

00:26 And there is a perpendicular to the plane of circle passes to the center to the center.

00:36 There is a line passing.

00:40 Okay, there is a line passing.

00:42 This is a circle blank so this is a pose and take any point about a point p so this is the point o and if we join any two points on this circle okay any two points in circle suppose this is u and r right during that these two points should be this line segment joining these two points from any point p on this line is supposed to be which is passing and is perpendicular to the subplane okay, because plane is c will be equal distance, okay? so let us write it, so statement and that is a so fast you can write so first is pq is perpendicular to see c is the plane in the circle, okay? that is given right? so and then you can see that now i can see the line and q and other two points now so okay so as always the origin you can see oq and over both are same radius supposed to be congruent you can write o q is congruent to over because o q is equal to over is equal to radius right both are same now how to can see peo congruent to same pio right this is the reflexive property if that's a property right so now i can see as pq is perpendicular to the pnc that this angle and this are about 90 degree so you can see that we both are 90 degree is both will conclude to each other so you can say and then p o q is is congruent to angle p o right this is because pq is perpendicular to c and both on 90 degrees of that what happened to now i can see triangle p -q -o is congruent to triangle p -r -o...

Question

proves that the lines that join a point of a circle to the vertices of a square inscribed in it, form a harmonic bundle.

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