@Alientcp said in #10:
> Since when a positive number is equal to a negative number?
When that number is 0.
> Since when a positive number is equal to a negative number?
When that number is 0.
@WassimBerbar said in #11:
> When that number is 0.
0 is neither positive nor negative. But regardless than when grouping those 2 numbers the result is 0, they are not equal, they are opposite. The only equal number of a positive number is the same positive number, and the only equal of a negative number is the same negative number.
If they were equal, grouping those 2 numbers would have been the double of the same number, positive or negative.
> When that number is 0.
0 is neither positive nor negative. But regardless than when grouping those 2 numbers the result is 0, they are not equal, they are opposite. The only equal number of a positive number is the same positive number, and the only equal of a negative number is the same negative number.
If they were equal, grouping those 2 numbers would have been the double of the same number, positive or negative.
Geometry joke just came to mind...
What did the triangle say to the circle?
You're pointless.....
Don't mind me... carry on, carry on...
What did the triangle say to the circle?
You're pointless.....
Don't mind me... carry on, carry on...
@sdkman said in #2:
> Circles are a polygon wher number of sides = + infinity
I might have forgotten to say it was sarcasm lol
But it is in some way true
> Circles are a polygon wher number of sides = + infinity
I might have forgotten to say it was sarcasm lol
But it is in some way true
@sdkman said in #2:
> Circles are a polygon wher number of sides = + infinity
Circles, with radius r, should have the same distance to each "side" (or point on the circumference of the circle from the center) - thats what makes a Circle.
The problem with any regular polygon is that the shape of a regular polygon side is different than the shape of a circular arc connecting the points on the polygon, whether it has 3 sides, 4 sides, 8 sides, 100 sides, even as the number of sides approach infinity.
Therefore, an infinite sided polygon isn't the same shape as a circle because of the infinite straight line segment shortcuts between two points close together on it, which is different than a circular arc connecting the same points on the circle.
> Circles are a polygon wher number of sides = + infinity
Circles, with radius r, should have the same distance to each "side" (or point on the circumference of the circle from the center) - thats what makes a Circle.
The problem with any regular polygon is that the shape of a regular polygon side is different than the shape of a circular arc connecting the points on the polygon, whether it has 3 sides, 4 sides, 8 sides, 100 sides, even as the number of sides approach infinity.
Therefore, an infinite sided polygon isn't the same shape as a circle because of the infinite straight line segment shortcuts between two points close together on it, which is different than a circular arc connecting the same points on the circle.
Means you see circle as a square
@Approximation said in #15:
> Circles, with radius r, should have the same distance to each "side" (or point on the circumference of the circle from the center) - thats what makes a Circle.
>
> The problem with any regular polygon is that the shape of a regular polygon side is different than the shape of a circular arc connecting the points on the polygon, whether it has 3 sides, 4 sides, 8 sides, 100 sides, even as the number of sides approach infinity.
>
> Therefore, an infinite sided polygon isn't the same shape as a circle because of the infinite straight line segment shortcuts between two points close together on it, which is different than a circular arc connecting the same points on the circle.
Yes, but a curve and therefore a circle is a theoretical geometric construction, as the fundamental attribute of a curve is having an infinite number of sides (or having no sides at all), which is not possible in the real world. At a granular level its a bunch of geometry mashed together that gives the illusion of a curve.
> Circles, with radius r, should have the same distance to each "side" (or point on the circumference of the circle from the center) - thats what makes a Circle.
>
> The problem with any regular polygon is that the shape of a regular polygon side is different than the shape of a circular arc connecting the points on the polygon, whether it has 3 sides, 4 sides, 8 sides, 100 sides, even as the number of sides approach infinity.
>
> Therefore, an infinite sided polygon isn't the same shape as a circle because of the infinite straight line segment shortcuts between two points close together on it, which is different than a circular arc connecting the same points on the circle.
Yes, but a curve and therefore a circle is a theoretical geometric construction, as the fundamental attribute of a curve is having an infinite number of sides (or having no sides at all), which is not possible in the real world. At a granular level its a bunch of geometry mashed together that gives the illusion of a curve.
@Tremarl said in #17:
> Yes, but a curve and therefore a circle is a theoretical geometric construction, as the fundamental attribute of a curve is having an infinite number of sides (or having no sides at all), which is not possible in the real world. At a granular level its a bunch of geometry mashed together that gives the illusion of a curve.
The simple equation for a circle is x^2 + y^2 = r^2.
Any regular polygon can be inscribed in a circle, even one with infinite sides.
In order for a regular polygon to have the shape of a circle would require the chords of the regular inscribed polygon in the circle to be an arc rather than a the shortest line segment connecting both points.
In real life, there are tools such as a protractor to help with circle constructions, but even with these tools we can come up with close approximations for a circle. How close to a perfect circle though should it be?
Engineers bridge the abstract math world to the real physical world. And I have a deep respect for them!
> Yes, but a curve and therefore a circle is a theoretical geometric construction, as the fundamental attribute of a curve is having an infinite number of sides (or having no sides at all), which is not possible in the real world. At a granular level its a bunch of geometry mashed together that gives the illusion of a curve.
The simple equation for a circle is x^2 + y^2 = r^2.
Any regular polygon can be inscribed in a circle, even one with infinite sides.
In order for a regular polygon to have the shape of a circle would require the chords of the regular inscribed polygon in the circle to be an arc rather than a the shortest line segment connecting both points.
In real life, there are tools such as a protractor to help with circle constructions, but even with these tools we can come up with close approximations for a circle. How close to a perfect circle though should it be?
Engineers bridge the abstract math world to the real physical world. And I have a deep respect for them!
By that logic dragons exist, because i can draw a dragon.
@Tremarl said in #19:
> By that logic dragons exist, because i can draw a dragon.
So, artwork gives birth to the reality to make it life-like? Interesting! Makes me wonder how the creator of everything drew the "big bang" giving birth to the universe?
> By that logic dragons exist, because i can draw a dragon.
So, artwork gives birth to the reality to make it life-like? Interesting! Makes me wonder how the creator of everything drew the "big bang" giving birth to the universe?
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