Transversale Rechtschreibung
(mittellateinisch transversalis, zu lateinisch transversus „quer liegend“) bezeichnet: eine Gerade in der Geometrie, die eine Figur (z. Eine Transversalwelle – auch Quer-, Schub- oder Scherwelle – ist eine physikalische Welle, bei der die Schwingung senkrecht zu ihrer Ausbreitungsrichtung erfolgt. Das Gegenteil ist eine Längs- oder Longitudinalwelle, bei der die Schwingung in. Das Wort transversal (von lat. transversus „quer“) steht für: die Ausbreitungseigenschaft einer Welle derart, dass die Schwingung senkrecht zu deren. Definition, Rechtschreibung, Synonyme und Grammatik von 'transversal' auf Duden online nachschlagen. Wörterbuch der deutschen Sprache. Definition, Rechtschreibung, Synonyme und Grammatik von 'Transversale' auf Duden online nachschlagen. Wörterbuch der deutschen Sprache.
Transversale Video
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Transversale Video
Transversale - Suchformular
We are sorry for the inconvenience. Sie sind öfter hier? Latte f. Wenn Sie die Vokabeln in den Vokabeltrainer übernehmen möchten, klicken Sie in der Vokabelliste einfach auf "Vokabeln übertragen". Need even more definitions? In Euclidean 3-space, a regulus is a set of skew linesRsuch that through each point on each line of Rthere passes a transversal of R and through each point of a transversal of R there passes a line of R. If three lines in general Beste Spielothek in Meierhofen finden form a triangle are then cut by a transversal, the lengths of the six resulting segments satisfy Menelaus' theorem. Other Words from transverse transversely adverb. Need even more definitions? The intersections of a transversal with two lines create various types of pairs of angles: consecutive interior anglescorresponding anglesand alternate angles. Take the quiz Bee Cubed Listen to the words and spell through all three levels.
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Other Words from transverse Adjective transversely adverb. Examples of transverse in a Sentence Adjective The surgeon made a transverse incision across her abdomen.
First Known Use of transverse Adjective 15th century, in the meaning defined at sense 1 Noun 15th century, in the meaning defined above.
Learn More about transverse. Euclid's Proposition 27 states that if a transversal intersects two lines so that alternate interior angles are congruent, then the lines are parallel.
Euclid proves this by contradiction : If the lines are not parallel then they must intersect and a triangle is formed. Then one of the alternate angles is an exterior angle equal to the other angle which is an opposite interior angle in the triangle.
This contradicts Proposition 16 which states that an exterior angle of a triangle is always greater than the opposite interior angles.
Euclid's Proposition 28 extends this result in two ways. First, if a transversal intersects two lines so that corresponding angles are congruent, then the lines are parallel.
Second, if a transversal intersects two lines so that interior angles on the same side of the transversal are supplementary, then the lines are parallel.
These follow from the previous proposition by applying the fact that opposite angles of intersecting lines are equal Prop.
As noted by Proclus , Euclid gives only three of a possible six such criteria for parallel lines. Euclid's Proposition 29 is a converse to the previous two.
First, if a transversal intersects two parallel lines, then the alternate interior angles are congruent.
If not, then one is greater than the other, which implies its supplement is less than the supplement of the other angle.
This implies that there are interior angles on the same side of the transversal which are less than two right angles, contradicting the fifth postulate.
The proposition continues by stating that on a transversal of two parallel lines, corresponding angles are congruent and the interior angles on the same side are equal to two right angles.
These statements follow in the same way that Prop. Euclid's proof makes essential use of the fifth postulate, however, modern treatments of geometry use Playfair's axiom instead.
To prove proposition 29 assuming Playfair's axiom, let a transversal cross two parallel lines and suppose that the alternate interior angles are not equal.
Draw a third line through the point where the transversal crosses the first line, but with an angle equal to the angle the transversal makes with the second line.
This produces two different lines through a point, both parallel to another line, contradicting the axiom.
In higher dimensional spaces, a line that intersects each of a set of lines in distinct points is a transversal of that set of lines. Send us feedback.
First Known Use of transversal circa , in the meaning defined above History and Etymology for transversal transversal , adjective, transverse, from Middle English, from Medieval Latin transversalis , from Latin transversus Keep scrolling for more Learn More about transversal Share transversal Post the Definition of transversal to Facebook Share the Definition of transversal on Twitter Time Traveler for transversal.
See more words from the same year Dictionary Entries near transversal transvaluation transvalue transvase transversal transversale transversary transverse.
Accessed 4 Jul. More from Merriam-Webster on transversal Rhyming Dictionary: Words that rhyme with transversal Spanish Central: Translation of transversal Comments on transversal What made you want to look up transversal?
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Literally How to use a word that literally drives some people nuts. Is Singular 'They' a Better Choice?
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