Prove that the curvature of $\alpha$ is greater than $1/R^2$ for $\alpha$ lying on a sphere
66494
Curvature of a curve on a sphere
104548
Geometric proof for irrationality of $\pi$
39082
Proving $x^\alpha-\alpha x \le 1- \alpha $
64993
Connectedness of the $S^2$ sphere
81775
Prove $a^\alpha b^{1-\alpha} \le \alpha a + (1 - \alpha)b, \; a,b > 0,\; 0 < \alpha < 1$
138987
Find the volume of the largest right circular cone that can be inscribed in a sphere of radius r?
132063
locally on $S$ one of the coordinates is a $C^∞$ function of the other coordinate. Show that $S$ is a submanifold of $R^2$
83449
Proof with 3D vectors
40952
Showing that sum of angles of hyperbolic triangle is strictly less than $\pi$
145632
Proving $\frac{1}{\cos^2\alpha}<\frac{\tan\beta-\tan\alpha}{\beta-\alpha}<\frac{1}{\cos^2\beta}$
105506
Finding the Total Curvature of Plane Curves
123415
Spacial curvature and expanding space
97473
Prove that: area of triangle $S_{ABC}=p \cdot R$, where p is half perimeter of triangle $DEF$
64497
prove that $\tan(\alpha+\beta) = 2ac/(a^2-c^2)$
77576
Using the triangle inequalities to prove a bound in the complex plane
155166
Given the curvature and torsion, find the curve
28125
Showing that $1 - \frac{x^2}2\leq\cos x$, $\forall x \in \mathbb{R}$