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In a right triangle with legs a and b and altitude h from the hypotenuse to the right angle, h < sup > 2 </ sup > is half the harmonic mean of a < sup > 2 </ sup > and b < sup > 2 </ sup >.< ref > Voles, Roger, " Integer solutions of ," Mathematical Gazette 83, July 1999, 269 – 271 .</ ref >
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Bliss found especially useful their " triangle of reference ": the physical thing or " referent " that we perceive would be represented at the right angle ; the meaning that we know by experience ( our implicit definition of the thing ), at the top angle ; and the physical word that we speak or write, at the left angle.
These concepts include one-to-one correspondence ( the basis of counting ), comparison to a standard ( used for measurement ), and the 3-4-5 right triangle ( a device for assuring a right angle ).
If neither A nor B includes the idea of existence, then " some A are B " simply adjoins A to B. Conversely, if A or B do include the idea of existence in the way that " triangle " contains the idea " three angles equal to two right angles ", then " A exists " is automatically true, and we have an ontological proof of A's existence.
Image: Pythagorean. svg | Pythagoras ' theorem: The sum of the areas of the two squares on the legs ( a and b ) of a right triangle equals the area of the square on the hypotenuse ( c ).
Also, it causes every triangle to have at least 2 acute angles and up to 1 obtuse or right angle.
The celebrated Pythagorean theorem ( book I, proposition 47 ) states that in any right triangle, the area of the square whose side is the hypotenuse ( the side opposite the right angle ) is equal to the sum of the areas of the squares whose sides are the two legs ( the two sides that meet at a right angle ).
One of the most well-known equations describes Pythagoras ' law relating the length of the sides of a right angle triangle:
Let t and s ( t > s ) be the sides of the two inscribed squares in a right triangle with hypotenuse c. Then s < sup > 2 </ sup > equals half the harmonic mean of c < sup > 2 </ sup > and t < sup > 2 </ sup >.
Steroidogenesis, showing estrogens at bottom right as in pink triangle.
Imagine a right triangle with two legs, x and f-y ( the vertical distance between F and P ).
They were measured on the gnōmōn, the vertical leg of a right triangle, and the flat leg of the triangle.
* Angle of parallelism, the angle at one vertex of a right hyperbolic triangle that has two hyperparallel sides
The method of proof by contradiction has also been used to show that for any non-degenerate right triangle, the length of the hypotenuse is less than the sum of the lengths of the two remaining sides.
Trigonometric functions are commonly defined as ratios of two sides of a right triangle containing the angle, and can equivalently be defined as the lengths of various line segments from a unit circle.
A right triangle always includes a 90 ° ( π / 2 radians ) angle, here labeled C. Angles A and B may vary.
Trigonometric functions specify the relationships among side lengths and interior angles of a right triangle.
To define the trigonometric functions for the angle A, start with any right triangle that contains the angle A.
* The hypotenuse is the side opposite the right angle, in this case side h. The hypotenuse is always the longest side of a right-angled triangle.
This formation is the approximate shape of a right triangle, with Vega located at its right angle.
right and with
He said: `` If it's all right with you, Mr. Morgan, I'll sleep out here on the couch.
I have it with me, right here.
He slammed into the wall, bounced back, and caught Curt with a roundhouse right which sent him spinning.
Besides, 'tain't no more'n right for me to follow with my black oxen, so's I can unhook and pull up fast if either of you get in a pinch ''.
He heard their chattering, and then the sounds of hacking as they dismembered the snake right on the porch with wood axes.
`` You'll stay right here '', commanded Bill Doolin, covering Red with his rifle.
In point of fact, this is a beige box with a bright red door, about one and a half feet square and hung from the wall about six feet from the door to Wisman's right.
Its appeal from ballots to bullets at Fort Sumter ended by costing the Southerners their right to have slaves -- a right that was even less compatible with the sovereignty of man.
When her right hand was incapacitated by the rheumatism, Sadie learned to write with her left hand.
His point is simply that the Tories have showered him with personal satire, despite the fact that as a private subject he has a right to speak on political matters without affronting the prerogative of the Sovereign.
The dress in the painting is a bright red, with rhinestones forming a spray on the right side.
In the range and variety of characters who, in their literary lives, get along all right with life styles one never imagined possible, there is an implicit lesson in differentiation.
For if Serenissimus made the sign of the Cross with his right hand, and meant it, with his left he beckoned lewdly to any lady who happened to catch his eye.
And the league takes a stand, with great regularity, on the side of right.
There was considerable evidence of a tacit rapprochement with Castro in Cuba, previously a bete noire to Trujillo -- thus illustrating the way in which totalitarianism of the right and left coalesces.
Nobody can deny the right of former Chief Executives to take part in politics, but the American people expect them always to remember the obligations of national leadership and to treat issues with a sense of responsibility.
If you're lyin' out in the hammock at night, and it gets kinda cool -- you know -- you just take these sides with the fringe on -- see -- and wrap 'em right over you.
It seems rather peculiar that residents of apartments are denied the right of providing themselves with the protection and companionship of dogs.
Since the Connally amendment has the effect of giving the same right to the other party to a dispute with the United States, it also prevents us from using the court effectively.
And yet Mr. Kennedy persists in trying to mollify the intransigents of the right with apologies and promises of `` tightening up '' and `` economizing ''.
right now, with almost cartoon emphasis, in the temporally linked complex of Tshombe-Gizenga-Goa-Ghana.
Here, as in all sectors of the economy, quality and justice are both dependent on the right of the individual to deal directly with his employer if he so chooses.
On their right rose the embankment covered with brush and trees.
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