1
U.S.
Boston Bombing Suspect’s Friend Is Convicted of Conspiracy and Obstruction
Azamat Tazhayakov, a college classmate of Dzhokhar Tsarnaev, was convicted of trying to cover up evidence that could have incriminated Mr. Tsarnaev after the bombing.
2
Business Day
Heady Summer, Fateful Fall for Dinesh D’Souza, a Conservative Firebrand
Even with the prospect of jail time looming, Dinesh D’Souza has emerged as the right-wing media star of the moment, a seemingly constant presence on talk radio and Fox News.
3
World
Turkey: Officers Arrested in Spy Case
Dozens of Turkish police officers were detained on Tuesday and accused of spying on Prime Minister Recep Tayyip Erdogan and his top aides.
4
Fashion & Style
Fake IDs, Still Coveted, Are Harder to Get
For under-age drinkers, a phony card is now high tech, and it comes at a high price.
5
U.S.
National Guard in Texas Could Get Arrest Power
By deploying Guard members himself rather than through Washington, Gov. Rick Perry has the power to order the troops to make arrests and apprehensions.
6
U.S.
Washington Mudslide Report Cites Rain, but Doesn’t Give Cause or Assign Blame
Scientists said that record-setting rains in the weeks before the landslide that killed 43 people in March in Oso, Wash., had clearly played a role, and, possibly, logging.
7
Sports
Prized but Perilous Catch
A number of divers die each year in the pursuit of abalone, coveted for its shell and meat, while the California Department of Fish and Wildlife does its best to protect the species from illegal activity.
8
Crosswords/Games
The Twelve-Coin Problem
How can you use a scale to isolate a counterfeit coin?Dividing a line segment
- Having a line segment AB, construct a perpendicular BC at point B, with BC half the length of AB. Draw the hypotenuse AC.
- Draw an arc with center C and radius BC. This arc intersects the hypotenuse AC at point D.
- Draw an arc with center A and radius AD. This arc intersects the original line segment AB at point S. Point S divides the original segment AB into line segments AS and SB with lengths in the golden ratio.
Golden triangle, pentagon and pentagram
Golden triangle
The golden triangle can be characterized as an isosceles triangle ABC with the property that bisecting the angle C produces a new triangle CXB which is a similar triangle to the original.If angle BCX = α, then XCA = α because of the bisection, and CAB = α because of the similar triangles; ABC = 2α from the original isosceles symmetry, and BXC = 2α by similarity. The angles in a triangle add up to 180°, so 5α = 180, giving α = 36°. So the angles of the golden triangle are thus 36°-72°-72°. The angles of the remaining obtuse isosceles triangle AXC (sometimes called the golden gnomon) are 36°-36°-108°.
Suppose XB has length 1, and we call BC length φ. Because of the isosceles triangles XC=XA and BC=XC, so these are also length φ. Length AC = AB, therefore equals φ + 1. But triangle ABC is similar to triangle CXB, so AC/BC = BC/BX, and so AC also equals φ2. Thus φ2 = φ + 1, confirming that φ is indeed the golden ratio.
Similarly, the ratio of the area of the larger triangle AXC to the smaller CXB is equal to φ, while the inverse ratio is φ − 1.
Pentagon
In a regular pentagon the ratio between a side and a diagonal is
(i.e. 1/φ), while intersecting diagonals section each other in the golden ratio.[8]"
9
Science
New Find Hints at More Feathered Dinosaurs
A species with feathers was discovered in Russia. It is the first find of a feathered dinosaur not of the theropod suborder.
10
Opinion
Why We Live In Unhappy Places
A recent paper ranks America’s happiest cities — and explains why you don’t live in them.
11
Business Day
The Muddled Case of Argentine Bonds
Because of rulings meant to force Argentina to pay its creditors, Citibank may either have to violate a court order or risk prosecution in Argentina.
12
Opinion
Iraq’s Imperiled Minorities
The brutal crackdown by Sunni extremists deserves the strongest possible international condemnation.
18
I will do it on demand.
The aesthetics offend me.
I will cook as demanded but would rather not do counterfeits.
19
N.Y. / Region
Mother Jumps Onto Subway Tracks in Queens to Rescue Her Toddler
The mother had let go of the stroller as she was “throwing away some trash,” a police spokesman said. The mother and daughter sustained minor injuries.
20
World
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