أكاديميا - كولنز - معاجم الجيب العلمية - الرياضيات - انكليزي -فرنسي -عربي الحرف ٥_ p

Academia - Collins - Scientific Pocket Dictionaries - Mathematics - English - French - Arabic Letter 5_ P

progression
progression f

Sequence. A sequence of numbers, each of which is related to the previous one by adding or multiplying a fixed number.

For example:

2,5,8,11 is an arithmetic sequence (add 3 each time to get the next number).

2,6,18,54 is a geometric sequence (multiply each number by 3 to get the next number).

projectile
projectile f

Projection. A body thrown into the air is called a projectile.

The path of the projectile is almost a parabolic section.

projection
projection f

Projection. If light is projected perpendicularly onto a horizontal plane PORS, the shadow of line AB is drawn along line CD. CD is said to be the projection of AB onto the plane.

proof
demonstration f

Proof. A logical argument used to confirm the truth of a statement.

proper
propre

Original. A fraction whose numerator is less than its denominator, for example:

3/4 is a native fraction, but 7/3 is not.

The native subset A of set B is a subset that does not contain all the elements of B. That is, ANBA but AnBB. Example:

(1,2,3) is a native subset of {1,2,3,4,5,6), but {1,2,3,4,5,6) is not a native subset of {1,2,3,4,5,6}.

proportion
proportion f

Proportion. Two sets of numbers are in proportion when the ratio between the corresponding members of the sets is constant. For example:

The two sets (1,2,5,8,10) and (2,4,10,16,20) are in proportion because 1:2 = 2:4 = 5:10 = 8:16 = 10:20, (i.e. each number in the second set is twice the corresponding number in the first set).

The two sets are inversely proportional when the members of one set are proportional to the reciprocals of the members of the other set.

For example:
(1,2,3,4,6) is inversely proportional to (12.6.4.3.2). In this case, the product of the corresponding elements is constant, i.e.:
1 × 12 = 2x6 = 3x4 = 4x3 = 6x2

And the circumference of a circle is proportional to its diameter (C=D).

π is the constant of proportionality (CπD).

protractor
rapporteur m

Protractor. A tool used to measure angles.

pyramid
pyramide m

Pyramid. A polyhedron whose base is a polygon, while its other faces are triangles with a common vertex.

The volume of a pyramid is calculated as follows:

Hexagonal pyramid
Triangular pyramid
Square pyramid

Volume = 1/3 (area of ​​the base) × vertical height)

The cone is similar to the pyramid and the formula for calculating its volume is similar to the formula for calculating the volume of a pyramid:

V=1/3 πr²h

Pythagoras' theorem
Pythagoras' theorem
Pythagoras' theorem
Pythagoras' theorem. This theorem states that in any right-angled triangle, the area of ​​the hypotenuse square is equal to the sum of the areas of the squares of the other two sides.

A=B+C

z2 = x2 + y²

For example: All of the following triples correspond to the lengths of right triangles:

3,4,5 (32+42=9+16=25=52)

6,8,10
5,12,13
7.24.25
1.1.2
1.2/5
8,15,17
20,21,29... etc.

The Pythagorean Theorem is often used to calculate unknown lengths in geometric shapes.