Oct 20, 2016 00:23
7 yrs ago
3 viewers *
Spanish term
TEOREMA DEL CATETO
Spanish to English
Science
Mathematics & Statistics
algebra
This is talking about right triangles, and after describing the Pythagorean theorem and altitude theorem, it talks about the "teorema del cateto". Leg/side/cathetus theorem? I haven't found it anywhere. Thanks!
Proposed translations
(English)
| 4 +1 | the cathetus theorem |
Francois Boye
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| 4 +1 | Right Triangle Altitude Theorem |
DLyons
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| 4 | "Leg rule" for right-angled triangles. |
DLyons
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Proposed translations
+1
37 mins
Francois Boye
United States
United States
Specializes in field
United States
An economic geek with social skills
Native in: French 
Works in: English to French, French to English, Spanish to English, and 1 more.
Related KudoZ points
:
72
Selected
the cathetus theorem
In a right triangle, the length of a cathetus is the geometric mean of the length of the adjacent segment cut by the altitude to the hypotenuse and the length of the whole hypotenuse.
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Note added at 39 mins (2016-10-20 01:03:32 GMT)
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In a right triangle, the length of a cathetus is the geometric mean of the length of the adjacent segment cut by the altitude to the hypotenuse and the length of the whole hypotenuse.
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Note added at 41 mins (2016-10-20 01:05:16 GMT)
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http://www.vitutor.com/geo/eso/as_3.html
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Note added at 39 mins (2016-10-20 01:03:32 GMT)
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In a right triangle, the length of a cathetus is the geometric mean of the length of the adjacent segment cut by the altitude to the hypotenuse and the length of the whole hypotenuse.
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Note added at 41 mins (2016-10-20 01:05:16 GMT)
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http://www.vitutor.com/geo/eso/as_3.html
Peer comment(s):
| agree |
Charles Davis
: Though the expression is uncommon in English
39 mins
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Thanks, Charles!
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| neutral |
DLyons
: Technically this is perfectly correct.
5 hrs
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4 KudoZ points awarded for this answer.
Comment: "Thank you!"
+1
6 hrs
Right Triangle Altitude Theorem
The word cathetus will mean something only to a handful of English speakers. Its statement is dry to the point of being unintelligble to most people. It's Theorem 11 at https://books.google.fr/books?id=LLXxBwAAQBAJ&pg=PA22 but wisely they just give a diagram.
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Note added at 6 hrs (2016-10-20 07:00:34 GMT)
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Or Geometric Mean Theorem
https://en.wikipedia.org/wiki/Geometric_mean_theorem
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Note added at 6 hrs (2016-10-20 07:00:34 GMT)
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Or Geometric Mean Theorem
https://en.wikipedia.org/wiki/Geometric_mean_theorem
Reference:
Peer comment(s):
| neutral |
Charles Davis
: It's essentially the so-called "leg rule" part of the geometric mean (altitude) theorem: hypot/leg = leg/segment so leg^2 = hypot x segment: the latter is the teorema del cateto. ST lists altitude theorem separately, so must distinguish.
19 mins
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Thanks Charles. The term "leg rule" is used. I'd avoid cathetus. // P.S. I suggest you post it as an answer.
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| agree |
Helena Chavarria
: Leg Rule. http://www.mathsisfun.com/geometry/mean-proportional.html
6 hrs
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Thanks Helena. The etymology you give is interesting!
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2 days 9 hrs
"Leg rule" for right-angled triangles.
Just for the sake of the Glossary.
If Charles or Helena care to post the same answer I'll withdraw this :-)
If Charles or Helena care to post the same answer I'll withdraw this :-)
Reference comments
52 mins
andres-larsen
Venezuela
Venezuela
Native in English
Venezuela
freelance translator
Native in: English 
Works in: Spanish to English, English to Spanish, German to English, and 3 more.
Related KudoZ points
:
4
Reference:
Right Triangle Leg Leg Congruence Theorem / Hypotenuse-Leg (HL) for Right Triangles
The Right Triangle Leg Leg Congruence Theorem - Proofs from The ...
proofsfromthebook.com/.../leg-leg-congruence-theo...
17 dic. 2013 - The Right Triangle Leg Leg Congruence Theorem is a theorem for right triangles that says if the two corresponding shorter legs of two right ...
Hypotenuse-Leg (HL) for Right Triangles
https://www.math.washington.edu/.../hypleg.html
Hypotenuse-Leg (HL) for Right Triangles. There is one case where SSA is valid, and that is when the angles are right angles. Using words: In words, if the ...
The HL (Hypotenuse Leg) Theorem: Definition, Proof, & Examples ...
study.com/academy/lesson/the-hl-theorem.html
In this lesson, we'll learn about the hypotenuse leg theorem. This theorem enables us to prove two right triangles are congruent based on just two...
proofsfromthebook.com/.../leg-leg-congruence-theo...
17 dic. 2013 - The Right Triangle Leg Leg Congruence Theorem is a theorem for right triangles that says if the two corresponding shorter legs of two right ...
Hypotenuse-Leg (HL) for Right Triangles
https://www.math.washington.edu/.../hypleg.html
Hypotenuse-Leg (HL) for Right Triangles. There is one case where SSA is valid, and that is when the angles are right angles. Using words: In words, if the ...
The HL (Hypotenuse Leg) Theorem: Definition, Proof, & Examples ...
study.com/academy/lesson/the-hl-theorem.html
In this lesson, we'll learn about the hypotenuse leg theorem. This theorem enables us to prove two right triangles are congruent based on just two...
Peer comments on this reference comment:
| neutral |
DLyons
: But along the right lines!
5 hrs
|
| neutral |
Charles Davis
: This is a different theorem. The teorema del cateto is not a congruence theorem.
5 hrs
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7 hrs
Reference:
Cateto
This usage is new to me, as I had only ever come across the word to mean "idiot", as in the Alfredo Landa movie 'Cateto a Babor'...
Reference:
http://www.dailymotion.com/video/x3m43fy
https://es.oxforddictionaries.com/traducir/espanol-ingles/cateto
13 hrs
Helena Chavarria
Spain
Spain
Native in English
Spain
Striving for excellence
Native in: English (Variant: British)
Works in: Spanish to English, Catalan to English
Related KudoZ points
:
12
Reference:
Leg rule
Altitude rule:
The altitude to the hypotenuse of a right triangle is the mean proportional between the segments into which it divides the hypotenuse.
Leg rule:
Each leg of a right triangle is the mean proportional between the hypotenuse and the projection of the leg on the hypotenuse.
http://www.regentsprep.org/regents/math/geometry/gp12/lmeanp...
Teorema de la altura:
En un triángulo rectángulo, la altura relativa a la hipotenusa es media proporcional entre los 2 segmentos que dividen a ésta.
Teorema del cateto:
En todo triángulo rectángulo un cateto es media proporcional entre la hipotenusa y su proyección sobre ella.
http://www.vitutor.com/geo/eso/s_6.html
The altitude to the hypotenuse of a right triangle is the mean proportional between the segments into which it divides the hypotenuse.
Leg rule:
Each leg of a right triangle is the mean proportional between the hypotenuse and the projection of the leg on the hypotenuse.
http://www.regentsprep.org/regents/math/geometry/gp12/lmeanp...
Teorema de la altura:
En un triángulo rectángulo, la altura relativa a la hipotenusa es media proporcional entre los 2 segmentos que dividen a ésta.
Teorema del cateto:
En todo triángulo rectángulo un cateto es media proporcional entre la hipotenusa y su proyección sobre ella.
http://www.vitutor.com/geo/eso/s_6.html
Peer comments on this reference comment:
| agree |
Charles Davis
: It seems to be a good match, and "cathetus theorem" is conspicuously absent from EN maths teaching materials on right-angled triangle theorems.
3 hrs
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My retired teaching hubbie wasn't in the mood to explain. He just said that depending on the data you have, you apply the rule or theorem you need. I think Right Triangle Altitude Theorem comprises a set of rules/theorems. Thank you, Charles!
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Discussion
http://etimologias.dechile.net/?cateto
There's a note saying "Cathetus is a cant word fur puritan" relative to
Yet these the mates of Cathetus,
From whome good Lord deliver us!
In Spanish, it goes back to at least 1923 (and probably much ealier)
"Güeno, pus ya llegó un cateto que dijo:"
En todo triángulo rectángulo el cuadrado de un cateto es igual al producto de la hipotenusa por la proyección ortogonal de ese cateto sobre la hipotenusa"
https://es.wikipedia.org/wiki/Triángulo_rectángulo#Teorema_d...
2. "The hypotenuse leg theorem states that any two right triangles that have a congruent hypotenuse and a corresponding, congruent leg are congruent triangles"
http://www.mathwarehouse.com/geometry/congruent_triangles/hy...
These are clearly not the same theorem.