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cathetus

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cathetus
‖ cathetus (ˈkæθɪtəs) Also kath-. [a. L. cathetus, a. Gr. κάθετος (sc. γραµµή) a perpendicular line, κάθετος adj. ‘let down, perpendicular’, f. καθιέναι to let down.] A straight line falling perpendicularly on another straight line or surface.1571 Digges Pantom. iv. Def. 20 It shal be named the Axis... Oxford English Dictionary
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Cathetus
In architecture, the term cathetus has been used for the eye of the volute. Cathetus at Encyclopaedia of Mathematics Parts of a triangle wikipedia.org
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Cathetus euthysticha
Cathetus is a monotypic genus of moths in the family Uraniidae. The only species is Cathetus euthysticha. It was described by Fletcher, in 1979. wikipedia.org
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cathetal
cathetal, a. (ˈkæθɪtəl) Also k-. [f. cathetus + -al1.] Pertaining to a cathetus; perpendicular.1874 tr. Lommel's Light 64 The rays which fall perpendicularly upon the kathetal surface pass without deflection through the glass. 1880 Webster Supp. Oxford English Dictionary
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Acachmena
may refer to: Acachmena (butterfly), a genus of butterflies in the family Nolidae Acachmena, a genus of insects in the family Uraniidae, synonym of Cathetus wikipedia.org
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Get length of cathetus/i from length of hypothenuse and ratio between catheti? How can I calculate the length of the cathetus in a triangle if I know the length of the hypotenuse and the ratio between the two catheti?...
Let the ratio be 1:r and the hypotenuse be h. Then the sides are then x and rx for some x. By the Pythagorean Theorem we get $x^2+r^2*x^2=h^2$. So $x=\sqrt{{h^2}/(1+r^2)}$. We can then calculate rx, the other side.
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Hypotenuse
Given the length of the hypotenuse and of a cathetus , the ratio is: The trigonometric inverse function is: in which is the angle opposite the cathetus The adjacent angle of the catheti is = 90° – One may also obtain the value of the angle by the equation: in which is the other cathetus. wikipedia.org
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Calculating the right angled triangle's cathetus We just started learning the Pythagorean theorem at school and we got a pretty difficult assignment. > 5 meter tall bamboo broke and the top of it touched the floor 2 ...
As you stated (I won't write the units of meters): $$c+b=5, ~~~~~~~~~~~~~~~~~~~~~~ c^2=a^2+b^2.$$ You want to know either $c$ or $b$, so, you can write the first equation as $c=5-b$ or $b=5-c$. Now you can plug one of these into the second equation, and you would get an equation in terms of $a$ and ...
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Adjacent
such as a question and answer Adjacent side (polygon), a side that shares an angle with another given side Adjacent side (right triangle), the side (or cathetus wikipedia.org
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Determinate the shaded area of the rectangle divided in 4 triangles ![enter image description here]( Determinate the area of the shaded area of the rectangle divided in $4$ triangles The areas of the triangles are t...
Let the height of the rectangle be $x$ and the width $y$. Then * the upper side of the area $4$ triangle is $8/x$; * the upper side of the area $3$ triangle is $y-(8/x)$; * the left side of the area $3$ triangle is $\dfrac{6}{y-(8/x)}$. So by looking at the triangle of area $5$ we have $$5=\frac12\,...
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Marcus Junius Nipsus
One cathetus is the continuation of the path along the riverbank, the second cathetus goes inland, joining up with the hypotenuse of the second triangle The length of this second cathetus will be equal to the width of the river. wikipedia.org
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Calculate all parameters of a triangle from some known partial lengths and angles I have the problem described in this image (not to scale): A (partial cathetus), B (small, vertical cathetus) and C (which forms a 90...
Let $Y$ be the rest of the leg on which $A$ lies. Then $$\begin{align} \frac{C^2}{Y^2} = \frac{B^2}{B^2 + (A+Y)^2} &\iff B^2Y^2 = C^2(B^2 + A^2 + 2AY + Y^2)\\\ &\iff (B^2 - C^2)Y^2 - 2AC^2Y - C^2(A^2 + B^2) = 0.\end{align}$$ Using the quadratic formula, $$\begin{align} Y & = \dfrac{2AC^2 \pm \sqrt{4...
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Manezhnaya Square, Saint Petersburg
Its longest cathetus, the southern side of Manezhnaya Square is formed with Italyanskaya Street, which runs parallel to Nevsky Prospect, at about hundred The shortest cathetus is Karavannaya Street, which forms the eastern side of the square running from Nevky prospect to the north. wikipedia.org
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Trigonometry inside a trapezium !enter image description here I have the following image, and it's asked to find the values of $X$ and $Y$. I've managed to find it using the this idea: Divide the image in two right ...
Call the left right-angled triangle's lower left $\;x\;$, so that $\;X=2x\;,\;\;H=\sqrt3x\;$, and thus in the right right-angled triangle we have that the lower leg is $\;3x\;$, and its hypotenuse is $\;2\sqrt3 x\;$. Adding both lower legs above we get $$x+3x=4x=12\implies x=3\implies \begin{cases}X...
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Gauss plane and vector module calculation Ok guys, let's say that I have this vector: ![enter image description here]( Why, when I calculate the modulus of this vector, I get $\sqrt{a^2+b^2}$, and not $\sqrt{a^2+(b\...
If that is confusing you , you can also define the modulus $|z| $ as ; $|z| = \sqrt{z\cdot \bar z}\qquad$$\qquad$ where $\bar z $ is the complex conjugate of $z$ let $z =a + ib$ $\bar z = a-ib$ $|z| = \sqrt{(a+ib)(a-ib)}$ $|z| = \sqrt{a^2-iab+iab-(ib)^2}$ $|z| = \sqrt{a^2-i^2\cdot b^2}$ $|z| = \sqrt...
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