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Re: [lojban] Relative angular direction



{loka carna to'odu'a mi fo li fi'ubi ku stuzi lo cmana}
"The property of turning from the East of me 1/8th (anti-clockwise turn) is the site of the mountain."

On Fri, Jun 28, 2013 at 5:41 AM, Ilmen <ilmen.pokebip@gmail.com> wrote:
Thank you for your explanation, now I understand much better how {jganu} works. :)

However {carna} doesn't seem to fit for translating my sentence —because there is nothing actually rotating—, unless I'm misunderstanding the meaning of {carna}.

Besides, I was expecting that it was probably possible to use an angle value sign (+/−) for specifying the direction of rotation; and yet, I find rather strange the convention of ma'u (+) for anticlockwise/leftwise and ni'u (−) for clockwise/rightwise, as in coordinate systems such as the number line the negative numbers are usually on the left-hand side and positive numbers on the right-hand one. :S

Anyway, here is my try with a measure in radians:
• {li ma'u re pi'i pai fe'i bi lo'o se radno lo jganu be lo se zvati be mi bei lo linji be lo stuna (be ri be'o) ce lo cmana}
• "+2π/8 is the radian (leftwise) measure of what is an angle from where I am [vertex] subtended by the segment between something that is to the eastern side (of where I am), and the mountain."


Hrmph, "something that is to the eastern side of where I am" isn't a defined point. Here it may works because we already have the angle value, but what if the sentence begins with {li ma'u xo lo'o se radno...}?
To fix this, it seems that I'd have to define a point on the East axis that is located at the same distance from me than is the mountain. Or perhaps am I missing something important. :P

Any thought?

Defining an angle with a point and a segment seems somewhat strange to me. Isn't an angle defined by two rays and their common vertex?

mi'e la .ilmen. mu'o


Jonathan Jones a écrit :
On Thu, Jun 27, 2013 at 4:47 PM, Jonathan Jones <eyeonus@gmail.com> wrote:
{jganu} defines the angle by a point (x2) and a line (x3).

In this picture:
{la'o my.∠ACB.my jganu cy. lo linji be .abu ce by.}
 http://mathworld.wolfram.com/images/eps-gif/Subtend_700.gif
I recommend using {radno} or {carna}. You can easily specify "1/8 turn", with {pifi'ubi carna}

or {carna fo li pifi'ubi}, also.

And so you know, the direction place in {carna} defaults to anti-clockwise, per the right-hand rule, and can be explicitly stated simply with {li ma'u} (acw} and {li ni'u} (cw), as on a polar coordinate grid.


On Thu, Jun 27, 2013 at 4:14 PM, Ilmen <ilmen.pokebip@gmail.com> wrote:
Hello everybody,

I was trying to figure out how to express relative angular direction in Lojban, but I've been hindered by the unfathomable definition of {jganu}.

I'd like to translate « From me [vertex], there is a 1/8 leftwise turn angle between East and the mountain » (note: a turn is a complete revolution, otherwordly 360° or 2π rad).
How can I say this in Lojban?

Any suggestion would be greatly appreciated.
Best regards, Ilmen. 

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