WikiCards · Card list · Science cards · Chasles' theorem
Common card · Science
Chasles' theorem, a Common card
In kinematics, Chasles' theorem, or Mozzi–Chasles' theorem, says that the most general rigid body displacement can be produced by a screw displacement or screw motion.
- Rarity
- Common
- Domain
- Science
- ATK
- 56
- DEF
- 27
- Power
- 83
- Wikipedia reads a year
- 7,600
Power 83 (ATK + DEF): stronger than 25 % of WikiCards cards.
Chasles' theorem quiz: 3 questions
Three questions on the Chasles' theorem card, the way WikiCards duels ask them. Pick an answer, the facts are just below.
Find the missing word
A direct Euclidean isometry in three dimensions involves a ______ and a rotation.
Answer
translation. A direct Euclidean isometry in three dimensions involves a translation and a rotation. From the Chasles' theorem article on Wikipedia.
Which of these cards hits hardest (highest ATK)?
Answer
Chasles' theorem. Chasles' theorem 56 · Propane bomb 53 · Kohsuke Kawaguchi 50 · AC Greyhound 43 ATK in WikiCards.
In a duel, each round asks a question like these about the opposing card, with 15 seconds to answer.
The facts on the card
The card carries these facts from its Wikipedia article.
- A direct Euclidean isometry in three dimensions involves a translation and a rotation.
- The screw displacement representation of the isometry decomposes the translation into two components, one parallel to the axis of rotation associated with the isometry and the other component perpendicular to that axis.
- The Chasles theorem states that the axis of rotation can be selected to provide the second component of the original translation as a result of the rotation.
Why it is Common
Rarity in WikiCards follows a year of Wikipedia page views: the most read articles become Epic and Legendary cards. The Chasles' theorem article was read about 7,600 times in a year. ATK comes from the length of the article and DEF from its quality, so this card hits with 56 and blocks with 27: each hit it takes is cut by 11 %.
How to get Chasles' theorem
Open packs. Each pack holds five cards drawn from real Wikipedia articles, the rarest last, and the fifth card is always Rare or better. The odds are shown in the game. A free pack arrives every hour and two can wait, and the Coins you win in duels buy more packs.
More Science cards
Cards close in power
The cards just above and just below Chasles' theorem in the power ranking, all domains together.
- Propane bombCommon · Society · ATK 53 DEF 30
- William D. CoolidgeCommon · History · ATK 56 DEF 27
- Albéric MagnardCommon · Arts · ATK 54 DEF 29
- Rémy JulienneCommon · Arts · ATK 54 DEF 29
- Theodoros PangalosCommon · History · ATK 54 DEF 29
- Andrew Michael RamsayCommon · Arts · ATK 61 DEF 22
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Credits
Text : Wikipedia, Chasles' theorem (revision), CC BY-SA 4.0. Photo : Zerodamage, CC0, Wikimedia Commons.
