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  1. P

    C < a + b

    Do you know any good example (or proof) that shows that the sum of two sides is alwasys bigger than the third side in a spherical triangle.
  2. P

    Finite geometry

    Let L and M be distinct nonparallel lines in an affine plane of order n. What is the total number on L U M? I hope someone knows how to solve this problem.
  3. P

    Spherical triangle

    In a spherical triangle, c< a+b I have to talk about this subject in an oral exam for about ten minutes. I don't know how I should explain it. If you know about a good example too, related to this subject of cource, I would really appreciate it.
  4. P

    A word in english

    I try that
  5. P

    A word in english

    Triangle has three angles but what do you call it when it has just two angles like in a sphere.
  6. P

    Rhumb Line

    Thank you so much, I did it right, you are a genius. The radius of the 66° latitute is 6370*cos(66) = 2590.9 km The circumference of 66° latitute is 2590.9*pi*2=16279 km the angle between places A and B is 110° so the answer is (110/360) * 16279 = 4974 km
  7. P

    Rhumb Line

    Ahh, I'm getting closer, I think the radius of the 66° latitute is (6370/90)*66 = 4671. I don't know what to do next. I think I have to find the angle between places A and B and divide it by 360 and multiply by the new radius, 4671. I don't unerstand how to take a point on the...
  8. P

    Rhumb Line

    The radius of the earth is 6370 km. I know how to calculate the great circle (the shortest distance). This is how I did that. a = 90-66 = 24 b = 90-66 = 24 C = 20+90 = 110 I put these numbers into the formula cos(c) = cos(a)cos(b) + sin(a)sin(b)cos(C) which gives me c = 0.7779...
  9. P

    Rhumb Line

    Homework Statement Two places, A (66°N and 20°W) and B (66°N and 90°A). Find the distance between them if you go along the 66° latitude (rhumb line). Homework Equations The Attempt at a Solution The answer is 4972 km but I don´t know how to calculate this. Please help me.
  10. P

    How to find the surface area of a spherical triangle?

    Hello I have a spherical triangle with the radius 1, and I have tried so hard to find the surface area. I know that A=120°, b=90° and c=60°. I could calculate that B=73.89° and C=56.31° and a=115.66°. I think I should use the formula (ABC) = (A + B + C - pi) r2 I always get the...
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