Bézout's lemma is a consequence of the Euclidean division defining property, namely that the division by a nonzero integer b has a remainder strictly less than | b |.

The front and back covers of Devo's first release, the 45rpm single ( music ) | single " Mongoloid ( song ) | Mongoloid " b / w " Jocko Homo " ( 1977 ), released on the band's Booji Boy Records

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 ).

A golden rectangle with longer side < span style =" color: blue ;"> a </ span > and shorter side < span style =" color: red ;"> b </ span >, when placed adjacent to a square with sides of length < span style =" color: blue ;"> a </ span >, will produce a Similarity ( geometry ) | similar golden rectangle with longer side < span style =" color: green ;"> a + b </ span > and shorter side < span style =" color: blue ;"> a </ span >.

How Gerrymandering can influence electoral results on a Voting system # Nonproportional and semiproportional methods | non-proportional system. Example for a state with 3 equally sized districts, 15 voters and 2 parties: Plum ( squares ) and Orange ( circles ). In ( a ), creating 3 mixed-type districts yields a 3 – 0 win to Plum — a disproportional result considering the state-wide 9: 6 Plum majority. In ( b ), Orange wins the urban district while Plum wins the rural districts — the 2-1 result reflects the state-wide vote ratio. In ( c ), gerrymandering techniques ensure a 2-1 win to the state-wide minority Orange party.

More formally, if a, b, c, and d are all integers, then the fraction < sup > a </ sup >⁄< sub > b </ sub > is irreducible if and only if there is no other equal fraction < sup > c </ sup >⁄< sub > d </ sub > such that | c | < | a | or | d | < | b |, where | a | means the absolute value of a.

| url = http :// www. suedkurier. de / region / schwarzwald-baar-heuberg / koenigsfeld / Koenigsfeld-feiert-bdquo-Schweitzer-Erben-ldquo -; art372523, 4916774 | title = Königsfeld feiert? Schweitzer-Erben?

Plan of entire Spruce Tree House from above, cut from 3D scanner | Laser scan data collected by a CyArk / National Park Service partnership

3D scanner | Laser scan section of the four-story Square Tower House, data collected by a CyArk / National Park Service partnership

Image: Laguna Verde Bolivia. jpg | Licancabur, Bolivia / Chile

The Amber Frog Violin Bow ( music ) | bow, made by Keith Peck in 1996 / 97.

| 1. 5 Mbit / s

| AppleTalk / LocalTalk

World War II, German SdKfz 234 | SdKfz 234 / 4.

File: Aston Martin DB2-4 Mark I. jpg | 1950 – 1957 DB2 and later DB2 / 4

File: Aston-Martin DB4. JPG | 1958 – 1963 Aston Martin DB4 / GT

File: Virage Volante. jpg | 1989 – 2000 Virage / V8 / Vantage

File: 2001DB7. jpg | 1993 – 2003 Aston Martin DB7 / Vantage

File: Zagato_Paris. JPG | 2002 – 2003 DB7 Zagato coupé / roadster

File: Amvanquish. jpg | 2001 – 2007 Aston Martin V12 Vanquish / S

File: aston. db9. coupe. 300pix. jpg | 2003 – Aston Martin DB9 coupé / Volante

File: Aston Martin V8 Vantage front 20081129. jpg | 2005 – Aston Martin V8 / V12 Vantage

Aston Martin DBR1 | DBR1 / 2 at Goodwood Festival of Speed 2009

The Astronomer ( Vermeer ) | The Astronomer by Johannes Vermeer ( c. 1668 )

The Birth of Venus ( Botticelli ) | The Birth of Venus by Sandro Botticelli, c. 1485

The Birth of Venus ( Bouguereau ) | The Birth of Venus by William-Adolphe Bouguereau, c. 1879

Three Maries, alabaster sculpture by Master of the Rimini Crucifixion ( c. 1430 ), National Museum, Warsaw | National Museum, Warsaw

The marriage of Amalric I of Jerusalem and Maria Comnena at Tyre ( Lebanon ) | Tyre in 1167, as depicted in a MS of the Histoire d ' Outremer, painted in Paris c. 1295-1300.

The slope field of F ( x ) = ( x < sup > 3 </ sup >/ 3 )-( x < sup > 2 </ sup >/ 2 )- x + c, showing three of the infinitely many solutions that can be produced by varying the Constant of integration | arbitrary constant C.

Image: Berthe Morisot 006. jpg | The Mother and Sister of the Artist ( Reading ), National Gallery of Art, Washington, DC c. 1869-70

Image: Berthe Morisot 003. jpg | The Dining Room, National Gallery of Art, Washington, DC c. 1875

Saint Benedict of Nursia ( c. 480 – 543 ), detail from a fresco by Fra Angelico, Saint Mark's Basilica | San Marco, Florence ( c. 1400 – 1455 ).

File: Marten de Vos 001. jpg | Painting by Marten de Vos, c. 1600

It is so called because the inner product ( or dot product ) of two states is denoted by a bra | c | ket ;

Montagu House, Bloomsbury | Montagu House, c. 1715

File: London-British Museum-2273. jpg | Room 4-Three black granite statues of the pharaoh Sesotris III, c. 1850 BC

File: British Museum Egypt 086. JPG | Room 4-Colossal statue of Amenhotep III, c. 1370 BC

File: ThreeStatuesOfGoddessSakhmet-ProfileView-BritishMuseum-August19-08. jpg | Room 4-Three black granite statues of the goddess Sakhmet, c. 1400 BC

File: Quartzite head of Amenhotep III. jpg | Great Court-Colossal quartzite statue of Amenhotep III, c. 1350 BC

File: Il Condottiere. jpg | Leonardo da Vinci-Profile of a warrior in helmet ( c. 1472 )

File: Adam study-Michelangelo. jpg | Michelangelo-Studies of a reclining male nude: Adam in the fresco ' The Creation of Man ' on the vault of the Sistine Chapel ( c. 1511 )

File: Raffaello, studio per una delle sibille. jpg | Raphael-Study of a Sibyl ( recto ) ( c. 1512-12 )

File: Sir Theodore Mayerne drawing by Peter Paul Rubens. jpg | Rubens-Sir Théodore de Mayerne, a portrait drawing ( c. 1630 )

File: British Museum gold thing 501594 fh000035. jpg | Room 51-Mold gold cape, North Wales, Bronze Age, c. 1900 – 1600 BC ( one of the finest examples of prehistoric sheet-gold working )

File: British Museum Royal Gold Cup. jpg | Room 40-Royal Gold Cup or Saint Agnes Cup, c. AD 1370-80 ( generally agreed to be the outstanding surviving example of late medieval French plate )

File: Front View of Thorn Reliquary. jpg | Room 45-Holy Thorn Reliquary, Paris, c. AD 1390s