sonom, shabani, 2015年7月4日

• 1. the golden ratio (and aphrodite's phi)
• 2. function - tangent - derivatives
• 3. inscribed quadrilaterals
• 4. the exponential and the logarithmic functions
• 5. the quadratic function-1
• 6. ptolemy's theorems
• 7. find the function (sine curves)
• 8. find the function
• 9. function and derivatives-9
• 10. function and derivatives-8
• 11. function and derivatives-7
• 12. function and derivatives-6
• 13. function and derivatives-5
• 14. vectors - a no word introduction
• 15. find the slope
• 16. function and derivatives-4
• 17. equilateral triangle (SAS)
• 18. a family of lines
• 19. graph the line
• 20. a math trick-3
• 21. minimum area
• 22. find the equation of the line
• 23. function and derivatives-3
• 24. function and derivatives-2
• 25. function and derivatives-1
• 26. measuring van gogh's cypress
• 27. areas of similar triangles
• 28. a math trick-1
• 29. median to the hypotenuse
• 30. a math trick-2
• 31. square vs rhombus
• 32. pythagorean theorem (proof)
• 33. eight curve
• 34. reflections-4
• 35. rose curves
• 36. cardioid
• 37. involute of a circle
• 38. reflections-3
• 39. hyperbolic spiral
• 40. cochleoid
• 41. lituus
• 42. fermat's spiral
• 43. pythagorean spiral
• 44. reflections-2
• 45. maximum volume
• 46. minimum perimeter
• 47. areas inside a parallelogram
• 48. areas inside a trapezoid
• 49. pythagorean and galileo's law
• 50. archimedes' spiral
• 51. the logarithmic spiral
• 52. power of a point
• 53. area between a curve and x-axis
• 54. area between two curves
• 55. the lunes of Alhazen
• 56. archimedes' arbelos
• 57. Fibonacci spiral
• 58. Vectors_1
• 59. vectors_2
• 60. a translation of y=-2x^2
• 61. triangle midpoint theorem
• 62. the triangle inequality
• 63. a translation of the curve y=-1/x
• 64. the locus of the intersection of two lines
• 65. the angle bisector theorems
• 66. the lune of Hippocrates
• 67. a hyperbola (equation)
• 68. conjugate hyperbolas
• 69. point symmetry
• 70. the reflective property of hyperbola
• 71. the reflective property of ellipse
• 72. the reflective property of parabola
• 73. classifying triangles...
• 74. the distance between two points
• 75. an ellipse (equation)
• 76. exploring sine curves
• 77. a parabola (equation)
• 78. a circle (equation)
• 79. midpoint parallelogram
• 80. a decagon
• 81. the intersept (thales) theorem
• 82. a function...
• 83. double reflection
• 84. Garfield's proof for pythagorean theorem
• 85. triangles...
• 86. tangent at a point
• 87. the graphs of trigonometric functions
• 88. tangent lines to a circle
• 89. regular octagon
• 90. angle bisector
• 91. Thales' theorem
• 92. tangent-chord angle
• 93. triangle angle-sum theorem
• 94. square roots in a greek way...
• 95. angles between parallels...
• 96. y=mx+b
• 97. measuring angles...
• 98. trig values of any angle
• 99. equation of a line
• 100. reflections...
• 101. a proof of pythagorean theorem-4
• 102. pythagorean theorem (a puzzle)
• 103. geometric constructions - 12
• 104. geometric constructions - 13
• 105. 2x2 linear system (Cramer's rule)
• 106. an identity...
• 107. moving a parabola
• 108. geometric constructions - 11
• 109. geometric constructions - 2
• 110. area of a kite
• 111. unit circle definition of trig functions
• 112. area of a parallelogram
• 113. a proof of pythagorean theorem
• 114. area of a triangle
• 115. area of a trapezoid
• 116. area of a rectangle
• 117. 2x2 linear system-1
• 118. a pyramid inside a cube...
• 119. tux walks up and down...
• 120. a prism inside a prism...
• 121. the line: ax+by=c
• 122. approximating pi
• 123. constructing a hyperbola...
• 124. constructing a parabola
• 125. constructing an ellipse...
• 126. the quadratic function
• 127. adding integers...
• 128. locating reals on a number line
• 129. a triangle
• 130. angles in a circle...
• 131. measurements in a circle
• 132. modern teacher
• 133. the relative position of two circles
• 134. a cube...
• 135. regular tetrahedron
• 136. cube3d
• 137. five roses
• 138. hexagonal prism
• 139. square pyramid
• 140. the outer Napoleon triangle
• 141. a pyramid inside a cube-1
• 142. reflections of a triangle
• 143. equation of a line (A, m)
• 144. equation of a line (A, B)
• 145. equation of a line (linear form)
• 146. the golden ratio
• 147. a testmaker
• 148. translations of f(x)=|x|
• 149. central and inscribed angles
• 150. translations of f(x)=x^2
• 151. translations of f(x)=sqrt(x)
• 152. even or odd?
• 153. Vieta's formulas
• 154. sierpinski triangles
• 155. translations of f(x)=1/x
• 156. find the area
• 157. quadratic formula
• 158. cartesian system
• 159. the graph of a function
• 160. regular polygons
• 161. an identity-2
• 162. triangle-1
• 163. right triangle trigonometry-1
• 164. area of a rectangle-1
• 165. the linear function
• 166. simson line
• 167. nine-point circle
• 168. angle bisector as locus
• 169. incircle and excircles of a triangle
• 170. regular polygons-1
• 171. an archimedes' formula
• 172. area of a circle
• 173. area of a circle-1
• 174. radians
• 175. properties of a rhombus
• 176. properties of a rectangle
• 177. properties of a trapezoid
• 178. properties of a square
• 179. axis of symmetry
• 180. point of symmetry
• 181. find the tan(φ)
• 182. solve the equation
• 183. equal chords
• 184. properties of an isosceles trapezoid
• 185. an isosceles triangle...
• 186. properties of a kite
• 187. cuboid
• 188. f(x)=a|x-b|+c
• 189. a tank with a tap
• 190. absolute value inequalities
• 191. components of a force
• 192. f(x)=a/(x-b)+c
• 193. f(x)=mx+b
• 194. find the angles
• 195. f(x)=ax^2+bx+c
• 196. find the angle
• 197. f(x)=atan(b(x-c))+d
• 198. an equilateral triangle
• 199. perpendicular lines
• 200. f(x)=a^x, g(x)=log_a(x)
• 201. the addition law of probability
• 202. right triangle trigonometry-2
• 203. sum of the interior angles of a n-gon
• 204. a Reuleaux triangle
• 205. congruent triangles
• 206. minimum area (line)
• 207. maximum area (angle)
• 208. adding and subtracting integers
• 209. the complex plane
• 210. adding complex numbers
• 211. linear transformations-1
• 212. linear transformations-2
• 213. area of an equilateral triangle
• 214. the witch of agnesi
• 215. the cissoid of diocles
• 216. deltoid
• 217. astroid
• 218. nephroid
• 219. ranunculoid
• 220. conchoid of nicomedes
• 221. limacon of pascal
• 222. cycloids
• 223. trammel of archimedes
• 224. generalization (pappus) of pythagorean
• 225. conchoid of a circle
• 226. piriform
• 227. ratio of areas-1
• 228. ratio of areas-2
• 229. coordinates-1 (reflection)
• 230. coordinates-2 (distance)
• 231. equilateral hyperbola
• 232. division of a segment
• 233. an apollonian circle
• 234. parabolas
• 235. ellipses
• 236. hyperbolas
• 237. a definition of conics (directrix)
• 238. ellipse as a hypotrochoid
• 239. ellipses and hyperbolas
• 240. eight curve (construction)
• 241. coordinates of midpoint
• 242. f(x)=sinx/x
• 243. radical axis-1
• 244. radical axis-2
• 245. law of sines (proof)
• 246. law of cosines (proof)
• 247. tangent and derivative
• 248. f(x)=xsin(1/x)
• 249. archimedes' twin circles
• 250. roots of the quadratic equation
• 251. f(x)=(cosx-1)/x
• 252. f(x)=e^x/x
• 253. f(x)=lnx/x
• 254. f(x)=xlnx-x+c
• 255. archimedes' "salinon"
• 256. the flower of life
• 257. the seed of life
• 258. yin-yang
• 259. diagonals of n-gons
• 260. Johnson's theorem
• 261. Koch snowflake
• 262. construction of a triangle (sss)
• 263. miquel's triangle theorem
• 264. proof of pythagorean-5
• 265. Kaleidoscope
• 266. the three squares problem
• 267. hippias' quadratrix
• 268. angle trisection
• 269. first brocard point
• 270. nagel point
• 271. gergonne point
• 272. x/a+y/b=1
• 273. collinear points-1
• 274. collinear points-2
• 275. morley's triangle
• 276. rolling circle squares itself
• 277. geometric-arithmetic mean inequality
• 278. distance between point-line
• 279. napier's inequality
• 280. law of cosines (pww)
• 281. vivianni's theorem
• 282. aristarchus' inequalities
• 283. x+1/x
• 284. thm about right triangles
• 285. chords and tangents
• 286. regular star polygons
• 287. squaring a rectangle
• 288. pitot theorem
• 289. colors
• 290. f(x)=|αx^2+bx+c|
• 291. f(x)=ax^4+bx^2+c
• 292. quadratic function in any form
• 293. angle between secants
• 294. the common tangent of two parabolas
• 295. parallel tangents of an ellipse
• 296. a property of the hyperbola
• 297. the center of an interval
• 298. absolute value
• 299. tangents to a circle
• 300. regular pentagon
• 301. a clock
• 302. a clock(2)
• 303. five squares
• 304. golden ratio-3
• 305. golden triangle
• 306. golden rectangle
• 307. the famous "1/7" triangle
• 308. the famous "1/5" square
• 309. equal chords-1
• 310. supplementary angles
• 311. f(x)=asin(b(x-c))+d
• 312. f(x)=acos(b(x-c))+d
• 313. aristotle's wheel paradox
• 314. parallel chords theorem
• 315. similar ellipses
• 316. eccentricity of an ellipse
• 317. coordinates-3 (reflection)
• 318. from kite to rhombus and square
• 319. chord theorem
• 320. secant-secant theorem
• 321. tangent-secant theorem
• 322. trigonometry_unit circle
• 323. fractions in a greek way...
• 324. the mean value theorem
• 325. areas-3
• 326. area of a triangle (sas)
• 327. area of a quadrilateral
• 328. area of a triangle-2
• 329. Brahmagupta's formula
• 330. area of an ellipse
• 331. a square in a square
• 332. an extrema problem-1
• 333. an extrema problem-2
• 334. lemoine point
• 335. exeter point
• 336. pyth-proof
• 337. pyth-proof7
• 338. a butterfly curve
• 339. devil's curves
• 340. parametric ellipse
• 341. trifolium
• 342. parametric hyperbola
• 343. circle and ellipse
• 344. bifolium
• 345. fish curve
• 346. devil's curves-1
• 347. devil's curves-2
• 348. kappacurve
• 349. right strophoid
• 350. parallel tangents of an ellipse-1
• 351. find LCM and GCD
• 352. f(x)=ax^n
• 353. f(x)=x^q
• 354. folium
• 355. torpedo curve
• 356. constructing a trifolium
• 357. trifolium-1
• 358. bicorn
• 359. trisectrix of maclaurin
• 360. deltoid
• 361. astroid
• 362. versoria
• 363. limacon of pascal-1
• 364. cardioid-1
• 365. cissoid of diokles
• 366. lemniscate of bernoulli
• 367. eightcurve
• 368. conchoid of nicomedes-1
• 369. ellipse-1
• 370. circle-1
• 371. hyperbola-1
• 372. parabola-1
• 373. inverse of f(x)=mx+b
• 374. inverse of f(x)=q+sqrt(a(x-p))
• 375. f(x)=q+sqrt(r^2-(x-p)^2)
• 376. inverse of f(x)=q+a(x-p)^3
• 377. quadrilaterals-2
• 378. inverse of f(x)=q+a^(x-p)
• 379. basic trig numbers-2
• 380. basic trig numbers-1
• 381. f(x)=psinx+qcosx
• 382. dot product
• 383. an extrema problem-3
• 384. polar form of a complex
• 385. the nth roots of unity
• 386. rolling coin paradox
• 387. vecten points
• 388. feuerbach's point
• 389. arc length (verification)
• 390. pythagorean (verification)
• 391. right triangle paradox
• 392. square-rectangle paradox
• 393. isosceles triangle paradox
• 394. sphere in cylinder
• 395. cone in cylinder
• 396. all the lines
• 397. tangent-chord angle-1
• 398. inscribed angles-1
• 399. tangent to a circle
• 400. an extrema problem-4
• 401. an extrema problem-5
• 402. pentalpha
• 403. star of david
• 404. properties of the altitudes
• 405. common external tangents
• 406. common internal tangents
• 407. common external tangents-1
• 408. common internal tangents-1
• 409. geometric mean theorem
• 410. frustum of a right cone
• 411. frustum of a regular pyramid
• 412. cylinder in cone
• 413. a butterfly curve-1
• 414. convex quadrilaterals
• 415. approximating pi-1
• 416. 2x2 linear system
• 417. a clock-3
• 418. find the area-1
• 419. square numbers
• 420. triangular numbers
• 421. triangular numbers-1
• 422. pythagorean triples-euclid
• 423. pythagorean triples-plato
• 424. pythagorean triples-proclus
• 425. proof of pythagorean-9
• 426. euclid's proof of pythagorean
• 427. multiplicative inverse of a complex
• 428. devil's curves-3
• 429. circles of a regular n-gon
• 430. the bell curve
• 431. pascal's triangle
• 432. a multiplication table
• 433. absolute value inequalities2
• 434. absolute value inequalities1
• 435. Area of Circles (3)
• 436. Shading Venn Diagrams (1)
• 437. equations and problems
• 438. pendulum
• 439. Rolling Coin 滾動的硬幣 (1)
• 440. Solving Similar Triangles (1)
• 441. fractional exponents
• 442. The Sum of the First n Natural Numbers - Dynamic Proof
• 443. angles between parallels-1
• 444. Practicing Statistical Calculation-1
• 445. pie chart
• 446. distribution of letters
• 447. Sum of the Cubes
• 448. histograms
• 449. Water Triangle
• 450. measures of center
• 451. pi digits
• 452. make an angle
• 453. linear system
• 454. frequency scale
• 455. Seven Circles Theorem
• 456. circumference of circles-1
• 457. tangram puzzle-1
• 458. multiplication table-1
• 459. fraction αddition
• 460. coin flipping-1
• 461. flipping 5 coins
• 462. flipping a coin
• 463. evaluating logarithms practice
• 464. fraction division:　a ÷ b (partitive)
• 465. fraction multiplication
• 466. comparing fractions
• 467. subtraction of proper fractions
• 468. binomial and normal
• 469. random data-1
• 470. random data-2
• 471. coin tossing simulation
• 472. newton's cradle
• 473. dotplot
• 474. russian multiplication
• 475. a math trick-31
• 476. cube of a binomial
• 477. binomial distribution
• 478. cylinder in a cone
• 479. absolute value inequalities-test
• 480. graph the line-1
• 481. a wheel of fortune
• 482. ferris wheel
• 483. wheel of fortune-1
• 484. the reuleaux triangle-1
• 485. newton's disk
• 486. integration
• 487. a wheel of fortune-1
• 488. fraction to decimal
• 489. points and segments
• 490. binomial formula
• 491. difference of two squares
• 492. conway circle
• 493. tangent and derivative
• 494. parallels or not?
• 495. lines through a point
• 496. rolling two dice-1
• 497. rolling a dice
• 498. egyptian system of numeration
• 499. rolling two dice
• 500. regular polygons-3
• 501. Fahrenheit to Celsius
• 502. the sum of the first n odd
• 503. sieve of eratosthenes
• 504. moon and sea
• 505. decimal and binary systems
• 506. temperature
• 507. string art
• 508. the height of the pyramid