Triangle inscribed circle of the center of a circle or a tetrahedron inscribed ball of hot core
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No. 4
That in good faith. "Book of Ritual": "Courtesy of the multi as you are, its circumcenter are also ... ... to small for your gift of those who are its heart." Zheng Xuan Note: The "heart, heart on the inside, The German account. "
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No. 5
Heart in the body, so called heart. Also means heart, mind first. Chinese Liu Xiang, "said park Xiuwen": "Therefore in service not a like, but the same heart." "Net-Indian Legal Drama The" Volume: "If the empty inner silence, look like a fantasy world." Ba Jin "miss Xiaoshan" 1: "the pain of heart as a pot of boiling water, how she Nengzhe cover!"
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Center of a circle inscribed circle of triangle
Triangle inscribed circle of the center of the circle. Is the triangle angle bisector of the intersection of the three, the distance to the three sides are equal. Within the triangle-shaped heart.
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No. 7
Heart is the triangle's three interior angle bisector intersection, that is the center of the inscribed circle. Heart theorem: a triangle of three angles bisectors intersect at one point. This point is called the triangle of the heart. Noted the same distance from the inner to the trilateral (radius of inscribed circle), heart Theorem fact easily permit. If the three sides are l1, l2, l3, perimeter p, the inner center of gravity coordinates (l1 / p, l2 / p, l3 / p). To the edge of the inner triangle is equal to two right angles from the side of the hypotenuse of the poor and less one-half. Took a hyperbolic point and two focus on the composition of the inner triangle in the real projective axis vertex corresponding branch.
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No. 8
Heart is the triangle's three interior angle bisector intersection, that is the center of the inscribed circle. Heart is the triangle angle bisector intersection principle: that for a round by round the two outer tangent, which is connected with the center of the tangent of the angle between two equally (principle: the angle bisector of angle on both sides point to the same distance). Heart theorem: the three angles of a triangle angle bisectors intersect at one point. This point is called the triangle of the heart. Noted the same distance from the inner to the trilateral (radius of inscribed circle), heart Theorem fact easily permit. If the three sides are l1, l2, l3, perimeter p, the inner center of gravity coordinates (l1 / p, l2 / p, l3 / p). The inner triangle is equal to two right angles from the side and minus side of the hypotenuse of the poor half. Took a hyperbolic point and two focus on the composition of the inner triangle in the real projective axis vertex corresponding branch. The nature of the inner triangle located ⊿ ABC's inscribed circle is ☉ I (r), angle A, B, C respectively on opposite sides a, b, c, p = (a + b + c) / 2. 1, the three angle bisectors of a triangle intersect at one point, the point is inside the triangle. 2, the inner triangle is equal to the distance from the three sides are equal to the inscribed circle radius r. 3, r = S / p. 4, in the Rt △ ABC, ∠ C = 90 °, r = (a + bc) / 2. 5, ∠ BIC = 90 ° + A / 2. 6, point O is any point on the plane ABC, the point I is ⊿ ABC inner and sufficient conditions are: a (vector OA) + b (vector OB) + c (vector OC) = vector 0. 7, point O is any point on the plane ABC, the point I is ⊿ ABC inner and sufficient conditions are: Vector OI = [a (vector OA) + b (vector OB) + c (vector OC)] / (a + b + c). 8, ⊿ ABC in, A (x1, y1), B (x2, y2), C (x3, y3), then I ⊿ ABC inner coordinates are: (Ax1 / (a + b + c) + bx2 / (a + b + c) + cx3 / (a + b + c), ay1 / (a + b + c) + by2 / (a + b + c) + cy3 / (a + b + c)). 9, (Euler's Theorem) ⊿ ABC in, R and r are the circumcircle and inscribed circle of the radius, O and I, respectively, and the heart of its circumcenter, the OI ^ 2 = R ^ 2-2Rr. 10, (interior angle bisector points trilateral relationship length) ⊿ ABC, the 0 is the heart, ∠ A, ∠ B, ∠ C, respectively, the interior angle bisector pay BC, AC, AB at Q, P, R, The BQ / QA = a / b, CP / PA = a / c, BR / RC = c / b. Other explanations [Heart]: heart; heart; heart Heart pain Explained in detail 1. That in good faith. "Book of Rites ritual": "for your gift of a multi-person, with its circumcenter are also ... ... for your gift of the little person, who is also its heart." Zheng Xuan's Note: The "heart, heart on the inside, The German account. " (2) heart in the body, so called heart. Also refers to the mind, heart, head. Chinese Liu Xiang, "said the Court, Xiuwen": "not a service like the actual occurrence, and the same heart." "Dharma through the net and India" Volume: "If the empty inner silence, look like a fantasy world." Ba Jin "miss Xiaoshan" one: "the pain of the heart like a pot of boiling water, how she Nengzhe cover!"
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Buddhism 百科
[Heart] (term) for the heart that form within. Fa read by a Department said: "inner contemplation, Suishun Dhamma." Acted under the Siyue notes: "the heart is no way, outside the instrument can not."
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English Expression
n.: bosom, inside, heart, incenter, centre of a person's thoughts and emotions, esp of love, ability to feel emotion, innermost being