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square and inscribed
Indeed, the spiral Af, with the two endpoints connected by a straight line possesses only one inscribed square.
A small square ground plaque inscribed only with " BURT LANCASTER 1913-1994 " marks his final resting place.
The construction of such lavish mausolea was banned by decree in 317 BC, following which only small columns or inscribed square marble blocks were permitted as grave stones.
Mary at the time of her engagement to Charles V. She is wearing a square brooch inscribed with " The Emperour ".
Vitruvian Man by Leonardo da Vinci, an illustration of the human body inscribed in the circle and the square derived from a passage about geometry and human proportions in Vitruvius ' writings
# Five-pointed star is inscribed into a circle with a diameter ofof the flag height, the circle is tangent to the upper side of the square.
triangle: the square on the hypotenuse, and the triangle's two inscribed
The inscribed portion of the tombstone has three holes, two square and one circular.
Around 3m high, the statue is on a square stone pedestal inscribed with information on him in gold majuscule letters.
The default marker is a white circle containing a black sans serif number ( often inscribed in a black square or slightly rounded square ), according to the Manual on Uniform Traffic Control Devices ( MUTCD ).
Nearby, in its former streambed, a small square hammered lead sheet was found, on which an enemy of someone named Martia Martina had inscribed her name backwards and thrown the token into the stream, in a traditional Celtic way of reaching the gods that has preserved metal tokens in rivers throughout Celtic Europe, from the swords at La Tène to Roman times.
The drawing, which is in pen and ink on paper, depicts a male figure in two superimposed positions with his arms and legs apart and simultaneously inscribed in a circle and square.
The pose with the arms straight out and the feet together is seen to be inscribed in the superimposed square.
In 1911, Toeplitz proposed the inscribed square problem:
: Does every Jordan curve contain an inscribed square?
* If a circle is inscribed in the square, the area of the circle is ( about 0. 7854 ) times the area of the square.
The plan forms an equal-armed cross, inscribed in a square and covered with a dome on a square base.
* Sator Square, inscribed, Article ; the article uses: " Rotas square "
When the new bridge was constructed in 1830 an old brass square of Freemasonry symbolism was found in the foundations of the original bridge with a date inscribed to 1517.
Also inscribed on the square is the text I will strive to live with love and care upon the level, by the square.

square and curve
For any such square the middle corner of these will be called the vertex of the square and the corner not on the curve will be called the diagonal point of the square.
These solutions yield good rational approximations of the form x / y to the square root of n. In Cartesian coordinates, the equation has the form of a hyperbola ; it can be seen that solutions occur where the curve has integral ( x, y ) coordinates.
There are four or five accepted and cognate meanings of spandrel in architectural and art history, mostly relating to the space between a curved figure and a rectangular boundary-such as the space between the curve of an arch and a rectilinear bounding moulding, or the wallspace bounded by adjacent arches in an arcade and the stringcourse or moulding above them, or the space between the central medallion of a carpet and its rectangular corners, or the space between the circular face of a clock and the corners of the square revealed by its hood.
Moreover, it has the same number of points as a square of area 1, as a cube of volume 1, and even as an unbounded n-dimensional Euclidean space ( see Space filling curve ).
For example, the image of a curve can cover a square in the plane ( space-filling curve ).
* The number 1 of Helvetica has a square angle underneath the upper spur, Arial has a curve.
Simple shapes can be described by basic geometry objects such as a set of two or more points, a line, a curve, a plane, a plane figure ( e. g. square or circle ), or a solid figure ( e. g. cube or sphere ).
The curve is a cycloid, and the time is equal to π times the square root of the radius over the acceleration of gravity.
Schematic diagram of the Yinwan Han dynasty Liubo divination diagram, showing the positions of the sixty terms of the sexagenary cycle ( following the corrections of Zeng Lanying ) and examples of the nine board positions: A = fāng 方 " square "; B = lián 廉 ( pàn 畔 ) " edge "; C = jié 楬 ( jiē 揭 ) " lift "; D = dào 道 " path "; E = zhāng 張 " stretch "; F = qū 曲 ( jiǔ 究 ) " bend "; G = qū 詘 ( qū 屈 ) " curve "; H = cháng 長 ( xuán 玄 ) " long "; I = gāo 高 " tall " ( terms used in Xu Bochang's rhyme given in brackets if different ).
The integrand is the restriction to the curve of the square root of the ( quadratic ) differential
* One of the results of Fourier analysis is Parseval's theorem which states that the area under the energy spectral density curve is equal to the area under the square of the magnitude of the signal, the total energy:
In particular, it is impossible to dissect a circle and make a square using pieces that could be cut with scissors ( that is, having Jordan curve boundary ).
When the flux in the projectile lies in the linear portion of its material's B ( H ) curve, the force applied to the core is proportional to the square of coil current ( I )— the field ( H ) is linearly dependent on I, B is linearly dependent on H and force is linearly dependent on the product BI.
Since induced drag is inversely proportional to the square of the airspeed whereas parasitic drag is proportional to the square of the airspeed, the combined overall drag curve shows a minimum at some airspeed-the minimum drag speed ( V < sub > MD </ sub >).
Without mentioning the speculations which had been made, he asked Newton what would be the curve described by a planet round the sun on the assumption that the sun's force diminished as the square of the distance.
In mathematics, the isoperimetric inequality is a geometric inequality involving the square of the circumference of a closed curve in the plane and the area of a plane region it encloses, as well as its various generalizations.
In mathematical analysis, a space-filling curve is a curve whose range contains the entire 2-dimensional unit square ( or more generally an n-dimensional hypercube ).

square and C
On C, from the point P at Af to the point Q at Af, we construct the chord, and upon the chord as a side erect a square in such a way that as S approaches zero the square is inside C.
As S approaches T the square will be outside C and therefore both Af and Af must cross C an odd number of times as S varies from zero to T.
The exponential growth rate depends largely on the square root of the PrP < sup > C </ sup > concentration.
Vatican Persian Cock-A 1919 print of a fabric square of a Persian cock or a Persian bird design belonging to the Vatican ( Holy See ) in Rome dating to 600 C. E.
The rest of the United States is the size of the three New York City blocks and is drawn as a square, with a thin brown strip along the Hudson representing " Jersey ", the names of five cities ( Los Angeles ; Washington, D. C .; Las Vegas ; Kansas City ; and Chicago ) and three states ( Texas, Utah, and Nebraska ) scattered among a few rocks for the United States beyond New Jersey.
For instance, if I is the category of the directed graph, then C < sup > I </ sup > has as objects the morphisms of C, and a morphism between and in C < sup > I </ sup > is a pair of morphisms and in C such that the " square commutes ", i. e..
C. S. Lewis argues that when talking about omnipotence, referencing " a rock so heavy that God cannot lift it " is nonsense just as much as referencing " a square circle "; that it is not logically coherent in terms of power to think that omnipotence includes the power to do the logically impossible.
The displacement field D is measured in units of coulombs per square meter ( C / m < sup > 2 </ sup >), while the electric field E is measured in volts per meter ( V / m ).
Solar flares are classified as A, B, C, M or X according to the peak flux ( in watts per square meter, W / m < sup > 2 </ sup >) of 100 to 800 picometer X-rays near Earth, as measured on the GOES spacecraft.
In 1966, colour programming was ushered in with a new logo, depicting a red circle containing the initial " C ", a blue square with " T ", and a green inverted triangle with " V ".
The old Hamilton County Sheriff ’ s Residence and Jail on the southwest corner of the courthouse square in downtown Noblesville is now the home of the Hamilton County Museum of History, but as a working jail it once housed a teenage Charles Manson and D. C. Stephenson, former Grand Dragon of the Indiana Ku Klux Klan.
Simulations of the Mars Reconnaissance Orbiter aerobraking use a force limit of 0. 35 N per square meter with a spacecraft cross section of about 37 m², and a maximum expected temperature as 340 ° F ( 170 ° C ).
Usually the weight function is viewed as a square real-valued matrix C, so that the cost function is written down as:
Luckle ) purchased four square miles of land directly on the route of the BBB & C, only a mile and a half from its first stop at Stafford's Point.

3.963 seconds.