Question 01 Aqui Mide Bulls Archimedes '' PROBLEMA BOVINUM Sun God has a bull group, made of white, black, flower, brown four colors, cows, in the bull, white cattle than the brown cow Number, more than the number of black cattle numbers 1/2 1/3, the number of black cattle than the number of brown cattle, the number is equivalent to 1/4 1/5 of the number of flowers; More than the number of brown cattle, more than the number of white cattle 1/6 1/7. In the cow, the number of white cattle is 1/3 1/4 of the total black cattle; the number of black cattle is All flowers 1/4 1/5; the number of flower cattle is 1/5 1/6 of the total number of brown cows; the number of brown cattle is 1/6 1/7 of the total white cattle. " What is it constructed?
The question of the Physical Problem of Bachet de Meziriac has a 40-pound weight of a 40-pound of weight. Later, it is called each piece of fragmentation. The weight is all, and it is possible to use these 4 pieces from 1 to 40 pounds of any integer pound of the weight. Ask these four weight fragments?
The 03th Into's Grassland and Cow Question Newton ''s Problem of The Fields and COWS A Head of the B-Balfly Fortuna in C, A' 'Head Cow The pasta on B' ' After eating in c '', a "head cow will be b" grass on the grass in c "finished eating in the sky; seeking the relationship between 9 numbers from A to C"?
The problem of the seven 7 of Berwik, Berwick ''s Problem of The Seven Sevens is divided by the divided number of divisions: * * 7 * * * * * * * ÷ * * * * 7 * = * * * * * * * * 7 * * * * * * * * * 7 * * * * * 7 * * * * * * * * * * * * * * * 7 * * * * * * * * * * * * * The numbers on those numbers marked with an asterisk (*) were accidentally wiped, what figures were not seen?
The question of Kirkman's female student problem Kirkman ''s SchoolGirl Problem A boarding school has fifteen girls. They often take a walk in three people every day, ask how to arrange to make each girl with other every girl Take a walk, and just once a week?
Question 06 The problem of Bernoure-Eura about the wrong envelope The Bernoulli-Euler Problem of the Misaddressed Letters seeking N elements, requiring no elements in the arrangement, there is no location it should occupy.
Question 07 Euler About Polygonal Split Euler ''s Problem of Polygon Division How many methods can be used to divide a N-side polygon (plane convex polygon) into a triangle with diagonal?
The 08th question Lukas spouse couple problem Lucas '' PROBLEM of the Married Couples N is sitting around the couple, and the seat is a man sitting between two women, and there is no man and his wife and sit. How many kinds of seats? No. 09 Two Expansion OMAR KHAYYAM ''s Binomial Expansion is an arbitrary positive integer when n is an N-powers of the n-term A B in the power representation of A and B.
The 10th question of Cauchy ''s Mean THEOREM CAUCHY''s Mean THEOREM CAUCHY '' '' '' of the geometric average of N p p p p p p p p p p p piometric averages are not greater than the arithmetic average of these numbers.
The problem of Bernoulli's power and the problem BERNOULLI ''s Power SUM Problem determines that the index P is positive and the N natural number of P power and S = 1P 2P 3P ... NP.
Chapter 12 Ou (X) = (1 1 / x) x and φ (x) = (1 1 / x) x 1 When X infinite increases the limit value.
Subjects Newton Exponential Stage NEWTON '''S Exponential Series Transforms the Index Function EX into the number of powers of the power of x.
Question 14 McKetle logs Nicolaus Mercator ''s Logarithmic Series does not need to log tables, calculate a given logarithm.
Question 15 Newton sinusoidal and cosine level NEWTON '' $ SINE AND COSINE Series Do not check the sinusoidal and cosine triangular functions of the known angle.
The 16th question is cutting and orthodox Deli Definition Andre ''s DeriVation of the Secont and Tangent Series in a arrangement C1, C2, ..., CN of N numbers 1, 2, 3, ..., n If there is no element CI value between two adjacent values Ci-1 and Ci 1, it is called C1, C2, ..., CNs 1, 2, 3, ..., n, one flexographic arrangement.
The trial uses the flexographic arrangement to derive the number of extensions and orthosis.
On the 17th question of Gregory, Gregory ''s Arc Tangent Series is known, and you don't have to check the angles of the triangle.
The first question of Debu seal, buffon ''s need problem draws a set of parallel lines with D on the table, throws a needle of length L (less than d) on the countertop, ask the needle to touch What is the probability of one of the two parallelline?
Question 19 THE FERMAT-Euler Prime Number Theorem Each of the 4N 1 forms can only be represented in a form of two squares.
Question 20 The Fermat Equation Equation X2-DY2 = 1 integer solution, where D is a non-two positive integer.
Question 21 THEMAT-GAUSS IMPOSSIBILITY THEOREM proves that two cubic numbers and cannot be a cubic.
Chapter 22 Two-Dynamism The QUADRATIC Reciprocity Law The QUADRECITY LAW (Euler - Le Yuede - Gaussian Theorem) The 奇 素 符 符 公 公 公 公 (q) = (-1) [(P-1) / 2]. [(Q-1) / 2]. 第 23 高斯 的 代 基 Gauss '' Fundamental THEOREM OF Algebra Each N times Equation Zn C1ZN-1 C2ZN-2 ... CN = 0 has N roots.
The number of Scutels of Sturm '' '' '' '' '' '' '' '' '' '' '' '' '' '' '' '' '' '' '' '' '' '' '' '' '' '' '' '' ''.
The 25th Impupient Theorem Abel ''s Impossibility Theorem is generally impossible to solve the algebra.
Question 26 特 德曼 超越 定 t 不 不 不 不 不 不 不. 表.....................................
The 27th 欧 欧 直 e e 直 所有 心 心 心 点 点 点 点 点 点 点 点 点 点 点 点 点 点 点 点 点 点 点 点 点 点 点 点 点 点 点 点 点 点 点 点 点 点 点 点 点 点 点The distance (gravity) of the intersection (vertical) to the center of the center is twice the distance between the outer circle to the intersection of each midline.
The twist in the feuerbach circle triangle in the feuerbach circle triangle, three high vertical and high intersections to the three midpoints of the line segments of the vertices on a circle.
Question 29 Castillang problem Castillon ''s ProBLEM passes each side through a triangle of three known points in a known circle.
The 30th question Malfati problem Malfatti ''s Problem draws three circles in a known triangle, each round is tangent with the other two circles and triangles. ......... No. 5 The envelope of the envelope A Parabola as envelope is intercepted from the vertices of the corner, and the arbitrary line segment E is intercepted on one side of the corner. On the other side, the line segment f is connected to the line segment f, and the endpoint of the line segment is numbed, from the vertex Start, 0, 1, 2, ..., N and N, N-1, ..., 2, 1, 0. The envelope of the connection with the point having the same number is a parabolic.
The 52th Sound Total Star Line The Astroid Linear Two calibration points along two fixed mutually perpendicular shafts, seeking this straight envelope.
Trim Sandline Steiner's Three-Pointed Hypocloidi
Determine a triangular Wallace line envelope.
Article 54 The closestone of the quadrilateral is closest to the ellipse The MOST NEARLY Circular Ellipse Circumcribing A Quadrilateral A known quad-shaped external ellipse, which is the smallest deviation with the circle?
The curvature of the tapered curve The curvature of conic sections determines the curvature of a cone curve.
Article 56 Aquiimide's estimate of the parabolic area Archimedes' Squaring of A Parabola determines the area contained in the parabola. The area of the boss is estimated to determine the area contained in the part of the double curve is cut.
RETINE INFECTION OF A PARABOLA of Seek Parabolies Determine the length of the parabolic arc.
Question 59 The Salt Saig Tongmed (Tong Triangle Theorem) DESARGUES 'HOMOLOGY TRIANGLES) If the two triangles correspond to the vertices, the corresponding edge intersection of these two triangles is located on a straight line. Reverse If the corresponding edge intersection of the two triangles is on a straight line, the two triangles of the corresponding vertices are connected.
Sustein Sutan Diagram of Stanner Diagram Steiner's Double Element CONSTRUCTION
It is made from the three pairs of an overlapped image given by the corresponding elements.
The 61th question Pasca Hexagon Theorem Pascal's Hexagon Theorem verified in the hexagon of the conical curve, and the intersection of the three pairs of side is on the line.
The 62th question Briten Hunxunal Theorem BrianChon's Hexagram Theorem commented in the sixth line of the cone curve, three of the top lines passed.
The 63th Quest Sishag pairs a three-parallel pair of intersections with a complete four-point * with an exterior of the four-point cone curve to the three-dimensional conical curve of the four-point shape. Point to the three-pair of vertexes of a complete quadrotype * and the tangent from this point to the quadrated tapered cone curve constitutes a combined four rays. * A complete four-point shape ( The four-wire shape actually contains four points (lines) 1, 2, 3, 4 and their six connection points 23, 14, 31, 24, 12, 34; 21, 31 and 24, 12 and 34 For the opposite side (on vertex).
The 64th issue of the conical curve A CONIC Section from FIVE Elements obtained by five elements is a conical curve, its five elements - points and tangential - is known.
The 65th question is a tapered curve and a straight line A CONIC Section and A Straight Line a known straight line with a cone curve with five known elements - points and tangent - to seek their intersections.
The 66th question of a conical curve and a certain point A CONIC Section and a point is known to a tapered curve with five known elements - points and tangential - to make a cut line from this point to the curve.
The 67th Titanian Flat Squeezed Space Steiner's Division of Space by Planes N Plane Up to how many parts can you divide?
The 68th question of Euler's Tetra Side Subject Euler's Tetrahedron ProBLEM indicates the volume of the tetrahedron in six ribs.
The shortest distance between the 69th Sprull Line The Shortest Distance Between Skew Lines calculates the angles and distance between two known skewed straight lines.
The Siphere Circumscribing A Tetrahedron is determined to determine the radius of an external ball that is known to all six ribs. The five regular spans of the Sound of the Five Regular Solids Take a spherical surface positive polygon .
The 72th Square Square as a quadrilateral image The Square as an image of a quadrilateral demonstrates that each quadrilateral can be seen as a square perspective image.
Chapter 73 Pohlke-Schwartz Theorem A plane is not full in the same straight line, which can be considered to be the oblique angle of each corner of a four-sided tetrahedral Mapping.
The Gaussian Axis Tissue Basic Theorem GAUSS 'Fundamental Theorem of Axonometry The Gaussian Basic Theorem of Positive Axis Testation: If in a three-sided positive projection, the image plane is used as a finish, the projection of the three-faceted top is zero, The projection of each end point is a plurality of plurals, then the squares of these numbers are equal to zero.
Chapter 75 Hipparchs Ball Profiles Hipparchus' Stereographic Project Anjued a plastic map of the circle on the earth into a map
