Kategóriák: Minden - size - time - velocity - space

a angela suarez 8 éve

159

alejo

Motion measurement plays a crucial role in defining time, which is understood by comparing sequences of events occurring at different instants. Various types of clocks, such as stopwatches, sundials, lunar clocks, and seasonal clocks, help measure these instants, which are continuous and can be ordered but have no surprises for observers.

alejo

MOTION MEASUREMENT AND CONTINUITY

SIZE

Length
Straight lines

Is used to defined

Area

a and b as A = ab

Itegration method

where can define area for nicely curved shapes as the limit of the sum of infinitely many polygons.

Volume

rectangular polyhedron a, b, c as V = abc.

a general polyhedron cannot be cut into a cube by straight cuts

discovered by Max Dehn

Values be Additive and rigid

SPACE

Properties Galilean space
vanishing distances
Can beat any limit
Define angles
Define distances
Can form shapes
Can be lined up if on one line
Can be distinguished
Distinguish positions
with our senses

TIME

Clocks
moving system whose position can be read

types

Seasonal clocks

Lunar clocks

Sundials

Stopwatches

Instants of time
don´t habour surprises
do not end
define duration
can be put in order
Can be distinguished
are equal for all observers
can have vanishing duration
Sequences of all instants
The smallest part is called

Events

is deduced by comparing motion

STRAIGHT

Is defined with the help of
Radiation
Bodies
Flatness

HOLLOW EARTH

r = R2 /r.
Distances is

VELOCITY

Can
Have defined angles
Be added
Be compared
Point somewhere
Change gradually
Be distinguished
Does not need
time

Measurement to be defined

Space
Form a
Euclidean vector space

Called GALILEAN Velocity

According to Mathematicians