Recent content by Patrick Kale

I first encountered "proof-based mathematics" in high school in a Geometry class. The work could have been more engaging, although, and I think this would have been good for me and the other students too. I plan on learning more math with you all and on this forum. Best Pokemon, your second to...

I visualize the triangle PAQ spinning on an axis that intersects point Q and that is parallel to line BC. So PAQ is the vertical flip of QDP. I think, both angles are equal in every way. I picture a quadrilateral, where all the angles that make up the two unknown, bigger, angles in the...

I was also worried by an idea similar to this, given my knowledge of mathematics and things like that.

I produced the formula for the shortest distance between two points in the xy plane. It was a fun exercise. Here is a picture of the work I did: http://postimage.org/image/b7tz5pvnp/full/ Users Diffy and micromass, thank you! User micromass, that seems like an interesting question. I will...

Thanks for the replies guys. Application of Pythagorean's theorem is the consensus. I will do another attempt to find the distance formula for two xyz 3d points myself. I saw the formula after answering the first question then tried one time to make it myself but did not succeed.

Hi, Given the question of finding the shortest distance between two points in 3D (xyz coordinates for each point), I was able to find the distance by basically imagining the given points as the vertices of a right triangle. Really easy problem to you guys but it was like a new thing to me and...