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1.Prove that the smallest angle of any triangulation of a convex polygon whose vertices lie on a circle is the same. This implies that any completion of the Delaunay triangulation of a set of points maximizes the minimum angle.
2.Prove that any polygon admits a triangulation, even if it has holes. Can you say anything about the number of triangles in the triangulation?
calculate the chord lenght between stations 75.00 and 75.00 on a circular curve with Da=5.5 degrees.
water flows at a velocity of 25 ft/s at a depth in a rectangular channel 16 feet wide. Determine the downstream depth necessary to form a hydraulic jump, the head loss through the jump and the horsepower dissipated in the jump.
he City of Leeds (England) discharges about 1.4 m3/sec to the Aire River. Without the wastewater discharge, the river flow rate would be 12.7 m3/sec. Given that BOD(river) = 3.0 mg/L and BOD(wastewater) = 30.0 mg/L
The magnetic declination at a certain place is 12 degree 6 minutes W.What is the magnetic bearing there (a) of true north (b) of true south and (c) of true west?
a) calculate the operational compressive strain this copper specimen is subjected to. b) calculate the maximum strain this copper alloy can sustain without becoming plastically deformed.
Then the instrument is moved to the level location 2 between TP1 and BM2. It has been identified that H1 at level location 2 is 165.14 (elevation at TP1=163.15
A bowling ball is dropped from a boat so that it strikes the surface of a lake with a speed of 25 ft/s. Assuming the ball experiences a downward acceleration of a = 10-9v2 when in the water, determine the velocity of the ball when it strikes the bott..
what are the isrm standard for uniaxial tensile stress , ucs ,punch shear test and point load test for testing a rock sample
Your engineering consulting firm has been asked to determine the specific weight of an unknown material. You decide to use the concept of buoyancy to figure this out. So you weigh the material in both air and water.
A beam that is part of a rigid frame has end moments and mid-span moments for dead, live, and earthquake loads. Determine the governing load combination for both negative and positive moments at the ends and mid-span of the beam.
A simple horizontal curve of radius 750 ft connects two tangents that intersect at an angle of 66º30'. Compute the parts of the curve, including T, L, LC, E, M, and D.
Concrete mix with a 3 in slump, w/c ratio of .5, and sand with a fineness modulus of 2.4 contains 1700 lb of coarse aggregate.
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