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Math and Logic Puzzles

	If you REALLY like exercising your brain, figuring things 'round and 'round till you explode, then this is the page for you !
	Whosoever shall solve these puzzles shall Rule The Universe! ... or at least they should ...
	Measuring Puzzles   Puzzle Games         Logic Puzzles   Symmetry Jigsaw Puzzles           Number Puzzles   Card Puzzles           Einstein Puzzles   Sam Loyd Puzzles           Algebra Puzzles   Tricky Puzzles           Assorted Maths Puzzles and Quizzes

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Copyright © 2012 MathsIsFun.com 

Mathematicians born in India

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Mathematicians' birthplaces are given relative to modern-day boundaries.
Click on the name below to go to the biography.

Aiyar Apastamba Aryabhata I Aryabhata II Ayyangar Baudhayana Bhaskara I Bhaskara II Bose Raj Chandra Bose Brahmadeva Brahmagupta De Morgan

Govindasvami Gupta Harish-Chandra Hemchandra Jagannatha Jyesthadeva Kamalakara Kaprekar Katyayana Lalla Madhava Mahalanobis Mahavira

Mahendra Suri Manava Narayana Nilakantha Paramesvara Patodi Pillai Prthudakasvami Rajagopal Ramanathan Ramanujam Ramanujan Rao

Roy Sankara Sommerville Sridhara Srinivasan Sripati Varadhan Varahamihira Vijayanandi Henry Whitehead Yativrsabha Yavanesvara

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Click HERE to see a clickable map of India and Pakistan.

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Places Index	Birthplace Maps Index		Countries Index
Main index		Biographies Index
History Topics Index		Famous curves index
Mathematicians of the day		Timelines
Search Form		Societies, honours, etc.

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JOC/EFR/BS August 2011The URL of this page is:

http://www-history.mcs.st-andrews.ac.uk/history/Countries/India.htmlIndex to Nick's Mathematical Puzzles

1. Folded sheet of paper
2. Triangular area
3. Two logicians
4. Equatorial belt
5. Confused bank teller
6. Ant on a box
7. Five men, a monkey, and some coconuts
8. 271
9. Reciprocals and cubes
10. Farmer's enclosure
11. Dice game
12. Making $1
13. Coin triplets
14. Two ladders in an alley
15. Infinite product
16. Zero-sum game
17. Three children
18. One extra coin
19. Five card trick
20. Five card trick, part 2
21. Birthday line
22. Isosceles angle
    • A generalization
23. Length of hypotenuse
24. Die: median throws
25. Die: mean throws
26. Two packs of cards
27. 1000th digit
28. Making 24
29. x^x
30. Two pool balls
31. Area of a rhombus
32. Differentiation conundrum
33. Harmonic sum
34. Harmonic sum 2
35. Cuboids
36. Composite numbers
37. Five marbles
38. Twelve marbles
39. Prime or composite?
40. No consecutive heads
41. Crazy dice
42. Multiplicative sequence
43. Sum of two powers
44. Sum of two powers 2
45. Area of regular 2ⁿ-gon
46. Consecutive subsequence
47. 1000 divisors
48. Exponential equation
49. An odd polynomial
50. Highest score
51. Greatest common divisor
52. Floor function sum
53. The absentminded professor
54. Diophantine squares
55. Area of a trapezoid
56. Partition identity
57. Binomial coefficient divisibility
58. Fifth power plus five
59. Triangle inequality
60. Sum of reciprocals
61. Two cubes?
    • One cube?
62. Four squares on a quadrilateral
63. Cyclic hexagon
64. Balls in an urn
65. Consecutive integer products
66. Quadratic divisibility
67. Random number generator
68. Difference of powers
69. Combinatorial sum
70. One degree
71. Consecutive cubes and squares
72. Depleted harmonic series
73. Unobtuse triangle
74. Sum of 9999 consecutive squares
75. Car journey
76. Square inscribed in a triangle
    • Ladder against a box
77. Minimal straight cut
78. Perfect square
79. Sum of fourth powers
80. Sixes and sevens
81. Digit transfer
82. Consecutive heads
83. Divisibility
84. Missing digits
85. Fibonacci nines
86. Folded card
87. 2004
88. Nested radicals
89. Square digits
90. Powers of 2: rearranged digits
91. Nonagon diagonals
    • Heptagon diagonals
92. Consecutive integer sums
93. Pascal's triangle
94. Square endings
95. Integer polynomial
96. Five real numbers
97. Two squares
98. Three powers
99. Two similar triangles
100. Perpendicular medians
101. Right triangles
102. Almost exponential
103. Root sums
     • Sum of two squares
     • Quadratic roots
104. An arbitrary sum
105. Difference of nth powers
106. Flying cards
107. A mysterious sequence
108. Eyeball to eyeball
109. Nested circular functions
110. Pairwise products
111. Trigonometric progression
     • Six tangents
     • Center of mass
112. Angle bisector
113. Ant in a field
114. Sums of squares and cubes
115. Sum of sines
116. Factorial divisors
     • A generalization
117. Random point in an equilateral triangle
118. Powers of 2: deleted digit
119. Three sines
120. Factorial plus one
121. Integer sequence
122. Powers of 2 and 5
123. Right angle and median
124. The ladder
125. Divisibility by 446617991732222310
126. Intersecting squares
127. Prime number generator
128. Modular equation
129. Abelian group
130. Reciprocal polynomial?
131. Horse race
132. Triangular angle
133. Prime sequence?
134. Sum of reciprocal roots
135. Clock hands
136. Point in a triangle
137. Factorial plus one equals prime power?
138. Integer sum of roots
139. Three towns
140. Six towns
141. Alternating series
142. Sum of two nth powers
143. Semicircle in a triangle
144. Difference of two nth powers
145. Heads and tails
146. Odds and evens
147. Prime or composite 2
148. Power series
149. Ones and nines
150. Isosceles apex angle
151. Painted cubes
152. Totient valence
153. Semicircle in a square
154. Triangle in a trapezoid
155. Sum of two powers is a square?
156. Three simultaneous equations
157. Trigonometric product
158. Fermat squares
159. Eight odd squares
160. Absolute maximum

Back to top

• Puzzles: 
• 1-10 
• 11-20 
• 21-30 
• 31-40 
• 41-50 
• 51-60 
• 61-70 
• 71-80 
• 81-90 
• 91-100 
• 101-110 
• 111-120 
• 121-130 
• 131-140 
• 141-150 
• 151-160 
• Index 
• | 
• Home 
• About 
• Accessibility

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Nick Hobson
nickh@qbyte.org

Last updated: August 8, 2007

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Nick's Mathematical Miscellany

Puzzles

• Nick's Mathematical Puzzles - A collection of puzzles, with hints, full solutions, and links to related mathematical topics.
• Wu's Riddles - Riddles, puzzles, and technical interview questions, with a forum.
• University 'problem of the week', with extensive archives:
  • Macalester College Problem of the Week - from Professor Stan Wagon.
  • Purdue University Problem of the Week - from the mathematics department.
  • Bradley University Problem of the Week - from Professor Alberto L. Delgado.
  • Math Contest - from Columbus State University.
• Mathpuzzle.com - A cornucopia of math puzzles and mathematical recreations.
• Art of Problem Solving - A community for avid students of mathematics, with forums, articles, and other mathematical activities.
• Wisconsin Mathematics, Engineering and Science Talent Search - Archive of problem sets and solutions.
• Project Euler - A collection of mathematical/computer programming problems, ranging from easy to challenging, with a forum thread for each problem.

Other mathematical resources and links

• Interactive Mathematics Miscellany and Puzzles - A treasure trove of proofs, games and puzzles, and other eye openers.
• Mathematical Association of America: MAA Online - Comprehensive resources, including book reviews, regular columns, and a mathematical history magazine.
• Mathematician Biography Index - Brief biographies for almost every important mathematician in history.
• The Online Encyclopedia of Integer Sequences - Identify an integer sequence, find the general formula, and obtain missing terms.
• Eric Weisstein's World of Mathematics - Comprehensive and interactive mathematical encyclopedia.
• Mathematical Quotations Server - A searchable collection of quotations culled from many sources.
• Mudd Math Fun Facts - An archive of mathematical snippets, arranged by subject, difficulty, and keyword.
• The Mathematical Atlas - A gateway to modern mathematics.
• QuickMath - Automated solutions in algebra, equations, inequalities, calculus, matrices, graphs, and numbers.
• Dario Alpern's Calculators - A variety of number theoretic calculators, equation solvers, and factorization engines.
• Frequently Asked Questions in Mathematics - Covers a wide range of topics, ranging from trivia and the trivial to advanced subjects such as Wiles' recent proof of Fermat's Last Theorem.
• Mathematical discussions - Essays attempting to show how various mathematical ideas arise naturally.  Written in the spirit of George Polya.
• MathPages - Reflections on miscellaneous mathematical topics.
• The Most Common Errors in Undergraduate Mathematics - A comprehensive survey, discussing likely causes of errors, and their remedies.
• Math Help - Articles, proofs, puzzles, jokes, and math tutoring services.
• Oxford University Undergraduate Students Lecture Notes and Problem Sheets - A wealth of useful material.
• Reciprocal links - Educational and Puzzle Sites

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Nick Hobson
nickh@qbyte.org

Last updated: April 3, 2008

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Local transit times

  By Steven van Roode and François Mignard

Your local circumstances are computed below. You can change the location by either dragging the marker on the map or searching for an address. From the menu on the top right you can specify the year of the transit (1639 to 2125). Clicking the icon at the top right corner of the map, you can switch the area of visibility on and off. Click on the icon on the lower right for more detailed information, including times of sunrise and sunset.
The calculator doesn’t always give the correct timezone offset. We are aware of the problem, and are currently working on a solution.
 

Map data ©2012 Google - Terms of Use

100 km

50 mi

Transit times    1639  1761  1769  1874  1882  2004  2012  2117  2125             

2012

Sivaraopeta Rd, Bhimavaram, Andhra Pradesh 534202, India

83%

ingress exterior

Jun 6
03:40:42

ingress interior

Jun 6
03:58:34

Jun 6
05:29:01

egress interior

Jun 6
10:04:31

egress exterior

Jun 6
10:21:52

Times in GMT +5.5 (Asia/Kolkata)

Latitude	16°.54297 N (16°32′34″.7 N)
Longitude	81°.51585 E (81°30′57″.0 E)
Clouds	83%
Contact	Time	h / A	P / d
ingress exterior	Jun 6 03:40:42	-23°.0 235°.1	41°.7 974″.8
ingress interior	Jun 6 03:58:34	-20°.4 237°.4	39°.3 916″.0
closest approach	Jun 6 07:02:57	19°.7 251°.3	347°.4 545″.8
egress interior	Jun 6 10:04:31	61°.4 252°.8	292°.6 916″.8
egress exterior	Jun 6 10:21:52	65°.4 251°.5	290°.1 974″.6
Sunrise	05:34:10
Sunset	18:33:59

Times in GMT +5.5 (Asia/Kolkata)

Notes on the data

Planetary transits start when the planet’s disk is externally tangent with the sun (ingress, exterior). From then, the planet may be discerened as a little black dent in the solar limb, gradually growing bigger until the entire planet is seen on the solar disk (ingress, interior). During the next five to six hours, the planet will traverse the sun’s disk until the planet’s disk will touch the opposite solar limb (egress, interior). The transit ends when the planet’s disk is externally tangent with the sun (egress, exterior).
You can switch to a graphical representation of the data, or to a more detailed data sheet. To switch, click the icon in the bottom right corner.

Graphical representation

For all four contacts the local time is given in 24-hour format. The analogue clocks also indicate whether the sun is above or below the horizon: if a clock’s colour is dark, this means that the sun is below the horizon and, subsequently, the particular will not be visible from the specified location.
The diagrams below to the clocks show the movement of Venus across the solar disk relative to the zenith, the point directly overhead. This is how you will see Venus advancing on the solar disk when observing with the naked eye or a telescope on an altazimuth mounting. Because of the diurnal motion of the celestial sphere, the sun’s disc rotates with respect to the direction of the zenith in the course of a day. The initially straight chord, representing Venus’ trajectory with respect to the north point, is now transformed into a curved path. You can see this curved path up close here.
The slider can be used to select any instant between the start and end of the transit, and to show the position of Venus on the solar disk at that instant.

Detailed data sheet

For all four contacts and the instant of least distance between Venus and the sun the local time in 24-hour format, the altitude h and the azimuth A of the sun are given. The altitude is measured in degrees above the horizon. If the sun’s altitude is negative, this means that the sun is below the horizon and, subsequently, the particular contact will not be visible from the specified location. The azimuth is the compass direction in degrees, measured westward from the south.
Also the position angle P of Venus and angular distance d between the centres of Venus and the sun are displayed. The position angle of Venus with respect to the centre of the solar disk is measured in degrees from the north towards the east. The distance between the centres is expressed in seconds of arc.
Finally, the approximate times of setting and rising of the sun on June 5 and June 6 are given in local time.

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