Crossword clues for parallelogram
Longman Dictionary of Contemporary English
The Collaborative International Dictionary
Parallelogram \Par`al*lel"o*gram\, n. [Gr. ?; ? parallel + ? to write: cf. F. parall['e]logramme. See Parallel, and -gram.] (Geom.) A right-lined quadrilateral figure, whose opposite sides are parallel, and consequently equal; -- sometimes restricted in popular usage to a rectangle, or quadrilateral figure which is longer than it is broad, and with right angles.
Parallelogram of velocities, parallelogram of forces, parallelogram of accelerations, parallelogram of momenta, etc. (Mech.), a parallelogram the diagonal of which represents the resultant of two velocities, forces, accelerations, momenta, etc., both in quantity and direction, when the velocities, forces, accelerations, momenta, etc., are represented in quantity and direction by the two adjacent sides of the parallelogram.
Douglas Harper's Etymology Dictionary
Wiktionary
n. (context geometry English) A convex quadrilateral in which each pair of opposite edges are parallel and of equal length.
WordNet
n. a quadrilateral whose opposite sides are both parallel and equal in length [ant: trapezium]
Wikipedia
In Euclidean geometry, a parallelogram is a simple (non- self-intersecting) quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure. The congruence of opposite sides and opposite angles is a direct consequence of the Euclidean parallel postulate and neither condition can be proven without appealing to the Euclidean parallel postulate or one of its equivalent formulations.
By comparison, a quadrilateral with just one pair of parallel sides is a trapezoid in American English or a trapezium in British English.
The three-dimensional counterpart of a parallelogram is a parallelepiped.
The etymology (in Greek παραλληλ-όγραμμον, a shape "of parallel lines") reflects the definition.
Usage examples of "parallelogram".
By the aid of this axiom it easily follows that the diagonals of a parallelogram bisect each other.
The Parallelogram of Forces - its fallacious kinematic and its true dynamic interpretation.
The conviction of the applicability of mathematical concepts to the description of natural events is grounded in his discovery of the so-called Parallelogram of Forces.
So in the theorem of the Parallelogram of Velocities we have a strictly geometrical theorem, whose content is in the narrowest sense kinematic.
Thus accelerated movements and movements under constant velocity can be resolved and combined according to the law of the parallelogram of movements, a law which is fully attainable by means of logical thought.
At the same time it forbids the use of this equation for a logical derivation of the parallelogram of forces from that of pure velocities.
Whence came this intuition, as well as the other which led him to recognize from the figures thus obtained that in a parallelogram made up of any two of the three lines, the remaining line came in as its diagonal?
In this way the parallelogram of forces becomes an inner experience of our organism at the beginning of our earthly life.
Instead of the parallelogram of forces following from the parallelogram of movements, and the entire science of dynamics from that of kinematics, our very faculty of thinking in kinematic concepts is the evolutionary product of our previously acquired intuitive experience of the dynamic order of the world.
As such a personality, Galileo was able to think the parallelogram of forces, but he was unable to comprehend the origin of his faculty of mathematical thinking, or of his intuitive knowledge of the mathematical behaviour of nature in that realm of hers where she sets physical forces into action.
Kepler-Newton case on the very lines of our treatment of the two parallelogram theorems.
In this assertion we encounter a misconception exactly like the one in the statement that the theorem of the parallelogram of forces follows by logical necessity from the theorem of the parallelogram of velocities.
She stopped in the shadows, well away from the pale parallelogram of streetlight thrown carelessly across the uncarpeted floor.
Here lie the principal ruins, forming a rude parallelogram from north-east to south-west.
The John Hancock Tower rose above the square, an enormous parallelogram, its sides shimmering with the reflected light of the afternoon.