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Dharmath VaderMath is evil...
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Math is evil...
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Math is evil...
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Dharmath Vader: Circumcenter and 3 circumcircles
http://dharmath.blogspot.com/2015/05/circumcenter-and-3-circumcircles.html
Monday, May 4, 2015. Circumcenter and 3 circumcircles. Given an acute triangle $ABC$ and its circumcircle is centered at $O$ and has radius $R$. AO$ meets the circumcircle of $ triangle OBC$ at $X$, $BO$ meets the circumcircle of $ triangle OAC$ at $Y$, and $CO$ meets the circumcircle of $ triangle OAB$ at $Z$. Show that $ AX BY CZ geq 9R$. Determine when equality occurs. Subscribe to: Post Comments (Atom). Ivan Wangsa C.L. Circumcenter and 3 circumcircles. Combinatorial sum binomial identity sum.
Dharmath Vader: Excircle and circumcircle
http://dharmath.blogspot.com/2015/05/excircle-and-circumcircle.html
Monday, May 4, 2015. Let $X$ be the tangency point of $L 1$ and $AB$. Let $CX$ meets $L 1$ in $Y 1$ and $CX$ meets $L 2$ in $Y 2$. We shall establish that $Y 1 = Y 2$. Let $C'$ be the diameter of $L 2$ and let $CC'$ meets $AB$ (or its extension) at $D$. Because $CP = CQ$ then it's easy to see that $CD perp PQ$. Let $s = CM = CN = CP = CQ$. By power point on $L 1$: $ CX.CY 1 = CM 2 = s 2$ . Let $CZ$ meets $L 1$ in $CZ$ and $X 1 neq X$. By power point we again have:$CX 1.CZ = s 2$. Ivan Wangsa C.L.
Dharmath Vader: September 2014
http://dharmath.blogspot.com/2014_09_01_archive.html
Monday, September 29, 2014. A projectile fired from the ground passes over two points $A$ and $B$ that are horizontally $d$ apart. Point $A$ is $2h$ high from the ground whereas point $B$ is horizontally $3h$ high from the ground. What's the minimum speed of projection? Friday, September 19, 2014. Inverse distances to points. Prove that $S(t)$ is bounded. Prove that $S(t)$ is convex. That is, if $A,B$ are in $S(t)$ then $AB$ is in $S(t)$. Identify all points $X$ on $S(t)$ such that $PX QX$ is minimum.
Dharmath Vader: Tangents and secant
http://dharmath.blogspot.com/2015/05/on-circle-l1-centered-at-o-we-draw-two.html
Tuesday, May 5, 2015. On a circle $L 1$ centered at $O$, we draw two points $A$ and $B$ that are not diametrically opposite. The tangents at $A$ and $B$ meet at $P$. Circle $L 2$ are created with $OB$ as the diameter. $L 2$ and $AB$ intersect at $B$ and $Q$. Show that $Q$ lies on $OP$. Subscribe to: Post Comments (Atom). Ivan Wangsa C.L. Circumcenter and 3 circumcircles. Combinatorial sum binomial identity sum. Fundamental theorem of algebra.
Dharmath Vader: November 2014
http://dharmath.blogspot.com/2014_11_01_archive.html
Wednesday, November 5, 2014. Prisoners With Hats Again. This is a generalization of the latest logic problem in MIT's Technology Review, November/December 2014. There are $n$ prisoners, $a 1, a 2, dots, a n$ where each prisoner is a perfect logician. Also, $a n$ is blind but the other ones can see. Then the prisoners said the following things, in this order:. A 1$ said: "I don't know my hat color.". A 2$ said: "I don't know my hat color.". A 3$ said: "I don't know my hat color.". A n$ said: "I know.
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What is my purpose in life? Guides us on a journey of self-discovery, and shows us how to create a lifestyle where we can express ourselves creatively and feel fulfilled. Bhakti Yoga is the path of love, and devotion. Karma Yoga is the path of work, and service. Jnana Yoga is the path of knowledge. Raja Yoga is the path of meditation. Take our dharma quiz to find your dharma, or purpose in life. You’ll discover which of the Four Yogas expresses more dominantly in you. In “What’s Your Dharma? Raja: The Pa...
Dharmath Vader
Friday, March 23, 2018. Suppose $f(x)$ is a continuously differentiable function on $[a,b]$ satisfying: $ f(a) = f(b) = 0$ $ int a b (f(x) 2 dx = 1$ Then show that: $ int a b x 2 (f'(x) 2 dx geq frac{1}{4}$. Friday, December 15, 2017. Monic polynomial divisible by 2018. Let $P(x)$ a monic polynomial (polynomial having leading coefficient one) with integer coefficients such that $P(k)$ is divisible by 2018 for all integer $k$. Find the smallest possible degree of $P$. 1 $P m$ is good. That is, $P 0(x) = n!
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Welkom op de site van Praktijk Dharma Therapeut. Bij onze geboorte krijgen we allemaal ons eigen karma mee dat we in dit leven mogen uitwerken. Om dit karma te kunnen uitwerken, krijgen we ook allemaal onze eigen kwaliteiten mee: Dharma. Je kan in de praktijk terecht voor:. Problemen waarvan je niet snapt waar die vandaan komen. Hulp bij genezing of aansterken na ziekte of operatie. Meer inzicht krijgen in jezelf.
Dharmatherapeut * Home
Welkom op de site van Praktijk Dharma Therapeut. Bij onze geboorte krijgen we allemaal ons eigen karma mee dat we in dit leven mogen uitwerken. Om dit karma te kunnen uitwerken, krijgen we ook allemaal onze eigen kwaliteiten mee: Dharma. Je kan in de praktijk terecht voor:. Problemen waarvan je niet snapt waar die vandaan komen. Hulp bij genezing of aansterken na ziekte of operatie. Meer inzicht krijgen in jezelf.
