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Inleiding

Meetkunde (Grieks: geo = aarde, metria = meet) het ontstaan as die veld van kennis wat ruimtelike verhoudings hanteer. Dit was een van die twee velde van pre-moderne wiskunde. Die ander veld was die studie van getalle. In die moderne tyd het meetkundige begrippe baie kompleks en abstrak geraak en is dit skaars herkenbaar as ʼn uitvloeisel van vroeë meetkunde.

Werk in pare of groepe en bestudeer die geskiedenis van die onstaan van meetkunde. Beskryf die verskillende stadiums van ontwikkeling en hoe meetkunde later gebruik is deur mense om hul lewens te verbeter. Die lys van stadiums moet dien as ʼn riglyn en hoef slegs die minimum vereistes te beskryf.

  1. Antieke Indiese meetkunde (ong. 3000 - 500 V.C.)
    1. Harappanse meetkunde
    2. Vediese meetkunde
  2. Klassieke Griekse meetkunde (ong. 600 - 300 V.C.)
    1. Thales en Pythagoras
    2. Plato
  3. Hellenistiese meetkunde (ong. 300 V.C - 500 N.C )
    1. Euclides
    2. Archimedes

Vierhoeke

In hierdie afdeling sal ons kyk na die eienskappe van sekere spesiale vierhoeke. Ons sal dan hierdie eienskappe gebruik om meetkundige probleme op te los. Dit is belangrik om daarop te let dat alhoewel al die eienskappe van ʼn figuur gegee word, benodig ons net sekere unieke eienskappe van die vierhoek om te bewys dat dit wel daardie spesifieke vierhoek is. Byvoorbeeld, as ons ʼn vierhoek het met twee pare parallellesye, dan is daardie vierhoek ʼn parallelogram. Ons kan dan die ander eienskappe van die vierhoek aflei deur ons kennis van parallellelyne en driehoeke te gebruik.

Trapesium

ʼn Trapesium is ʼn vierhoek waarvan ten minste een paar teenoorgestelde sye parallel loop. Dit word soms ook ʼn trapesoïed genoem. ʼn Spesiale tipe trapesium is die gelykbenige trapesium , waar een paar teenoorstaande sye parallel is en die ander paar ewe lank is. Die hoeke aan die eindpunte van elke parallelle sy is ewe groot. ʼn Gelykbenige trapesium het een lyn van simmetrie en sy hoeklyne is ewe lank.

Voorbeelde van trapesiums

Parallelogram

ʼn Trapesium met beide pare teenoorstaande sye parallel, word ʼn parallelogram genoem. ʼn Opsomming van die eienskappe van ʼn parallelogram is:

  • Beide pare teenoorstaande sye is parallel.
  • Beide pare teenoorstaande sye is ewe lank.
  • Beide pare teenoorstaande hoeke is ewe groot.
  • Beide hoeklyne/diagonale halveer mekaar (d.w.s. hulle sny mekaar in die helfte)
ʼn Voorbeeld van ʼn parallelogram

Reghoek

ʼn Reghoek is ʼn parallelogram met al vier hoeke ewe groot en gelyk aan 90 . ʼn Opsomming van die eienskappe van ʼn reghoek is:

  • Beide pare teenoorstaande sye is parallel.
  • Beide pare teenoorstaande sye is ewe lank.
  • Die hoeklyne halveer mekaar.
  • Die hoeklyne is ewe lank.
  • Alle hoekpunte is regte hoeke.
Voorbeeld van ʼn reghoek

Rombus / ruit

ʼn Rombus (ruit) is ʼn parallelogram waarvan al vier sye ewe lank is. ʼn Opsomming van die eienskappe van ʼn rombus is:

  • Beide pare teenoorstaande sye is parallel.
  • Al vier sye is ewe lank.
  • Beide pare teenoorstaande hoeke is ewe groot.
  • Die diagonale halveer mekaar met hoeke van 90 .
  • Diagonale halveer die teenoorstaande hoeke.
ʼn Voorbeeld van ʼn ruit, ʼn parallelogram met al vier sye ewe lank

Questions & Answers

are nano particles real
Missy Reply
yeah
Joseph
Hello, if I study Physics teacher in bachelor, can I study Nanotechnology in master?
Lale Reply
no can't
Lohitha
where we get a research paper on Nano chemistry....?
Maira Reply
nanopartical of organic/inorganic / physical chemistry , pdf / thesis / review
Ali
what are the products of Nano chemistry?
Maira Reply
There are lots of products of nano chemistry... Like nano coatings.....carbon fiber.. And lots of others..
learn
Even nanotechnology is pretty much all about chemistry... Its the chemistry on quantum or atomic level
learn
Google
da
no nanotechnology is also a part of physics and maths it requires angle formulas and some pressure regarding concepts
Bhagvanji
hey
Giriraj
Preparation and Applications of Nanomaterial for Drug Delivery
Hafiz Reply
revolt
da
Application of nanotechnology in medicine
has a lot of application modern world
Kamaluddeen
yes
narayan
what is variations in raman spectra for nanomaterials
Jyoti Reply
ya I also want to know the raman spectra
Bhagvanji
I only see partial conversation and what's the question here!
Crow Reply
what about nanotechnology for water purification
RAW Reply
please someone correct me if I'm wrong but I think one can use nanoparticles, specially silver nanoparticles for water treatment.
Damian
yes that's correct
Professor
I think
Professor
Nasa has use it in the 60's, copper as water purification in the moon travel.
Alexandre
nanocopper obvius
Alexandre
what is the stm
Brian Reply
is there industrial application of fullrenes. What is the method to prepare fullrene on large scale.?
Rafiq
industrial application...? mmm I think on the medical side as drug carrier, but you should go deeper on your research, I may be wrong
Damian
How we are making nano material?
LITNING Reply
what is a peer
LITNING Reply
What is meant by 'nano scale'?
LITNING Reply
What is STMs full form?
LITNING
scanning tunneling microscope
Sahil
how nano science is used for hydrophobicity
Santosh
Do u think that Graphene and Fullrene fiber can be used to make Air Plane body structure the lightest and strongest. Rafiq
Rafiq
what is differents between GO and RGO?
Mahi
what is simplest way to understand the applications of nano robots used to detect the cancer affected cell of human body.? How this robot is carried to required site of body cell.? what will be the carrier material and how can be detected that correct delivery of drug is done Rafiq
Rafiq
if virus is killing to make ARTIFICIAL DNA OF GRAPHENE FOR KILLED THE VIRUS .THIS IS OUR ASSUMPTION
Anam
analytical skills graphene is prepared to kill any type viruses .
Anam
Any one who tell me about Preparation and application of Nanomaterial for drug Delivery
Hafiz
what is Nano technology ?
Bob Reply
write examples of Nano molecule?
Bob
The nanotechnology is as new science, to scale nanometric
brayan
nanotechnology is the study, desing, synthesis, manipulation and application of materials and functional systems through control of matter at nanoscale
Damian
Is there any normative that regulates the use of silver nanoparticles?
Damian Reply
what king of growth are you checking .?
Renato
how did you get the value of 2000N.What calculations are needed to arrive at it
Smarajit Reply
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Source:  OpenStax, Siyavula textbooks: wiskunde (graad 10) [caps]. OpenStax CNX. Aug 04, 2011 Download for free at http://cnx.org/content/col11328/1.4
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