The Latin word curvilineus came to our language as curvilinear . This adjective is used to describe what is formed by curved lines . A curve , for its part, is something that continuously moves away from the straight direction, without creating an angle.
In this framework, the angle formed by curved lines is called a curvilinear angle . This means that its sides are not straight, but curved. If the angle has a curved line and a straight line, it is classified as mixtilinear.
A curvilinear movement , on the other hand, is a circular, oscillatory or parabolic movement . A competition vehicle competing in a race on an oval-shaped circuit makes a curvilinear movement.
If the path along which a particle moves is known to the observer, it is considered appropriate to describe the movement using the coordinate axes n (which acts as normal to the path) and t (it is tangent to the path), and at the instant that is considered they have their origin located in the particle. If the trajectory is curved, then we can speak of an elliptical movement.
If we consider a particle that moves in a plane on a fixed curve, at any instant it will be in the position s , which is measured taking into account the point O. For a coordinate system whose origin is a fixed point on the curve and at the observed instant this coincides with the position of the particle, the following will occur:
* the t axis will be tangent to the curve and positive in the direction in which s increases (the positive direction of the particle's displacement );
* said axis is perpendicular even in its positive direction that points towards the center of the curve;
* the plane that contains them both is called osculating or embracing . In a case like this, it would be fixed in the plane of displacement.
Since the particle is in motion, the position is a function of time. The direction of the velocity is always tangent to its path, and to calculate its magnitude it is necessary to derive time from the path function.
If we have a curvilinear movement on an XY plane, with the corresponding axes and the determined origin , the magnitudes that describe it are a position vector at a given instant, and can be represented with the letters r and t , respectively. Let's not forget that throughout the entire trajectory of the particle, it will pass through a set of points; At each moment, one of them can be identified in relation to the moment.
In short, everything that has curves, or is characterized by them, can be mentioned as curvilinear. For example: “The curvilinear layout of the circuit means that cars cannot reach high speed,” “The Finnish company surprised by presenting a curvilinear phone,” “The curvilinear soda container is very easy to grip.”
The idea of curvilinear is often used with respect to female shapes. When a woman has marked curves in her figure, she is said to be curvy. This is an aesthetic trait that is usually considered attractive: “The Italian actress dazzled on the beach with her curvy body ,” “The model's curvy figure captivated the heartthrob, who as soon as he saw her approached her to talk to her,” “I like women .” “curvilinear silhouette.”
The measurements that are often mentioned as the ideal of female beauty (90 centimeters of bust, 60 centimeters of waist and 90 centimeters of hips) are linked to curvy women . These different measurements imply the existence of pronounced curves in the silhouette.