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Catalogue -> Multimedia -> School education

Geometry. Vol.1,2. Audio and Video Manual. (2DVDs).

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For schoolchildren of the 7^thto 11^th forms and university applicants. 10 hours of animated sessions and video lessons for using with a PC and a DVD player.
In Ukrainian.
DVD region: all

Minimal system requirements for one disc:

Operational system Microsoft Windows 2000/XP/Vista; processor Pentium 800 MHz; 2Gb of available space on the hard disc; 256 Mb of main memory; DVD reading device; sound output device.

Publisher: StudyBuddy
Year: 2009

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CD1
		VSTUP
1.		Heometrychni poznachennja
2.		Odynytsi vymirjuvannja dovzhyn i kutiv
3.		Aksiomy planimetriji i stereometriji:
		- aksiomy nalezhnosti (1,2)
		- aksiomy rozmishchennja (3,4)
		- aksiomy vymirjuvannja (5-9)
		- aksiomy vidkladannja (10-12)
		- aksioma paralel‘nykh (13)
		- aksiomy stereometriji
		- naslidky aksiom stereometriji
		Rozdil 1. PROSTI FIHURY
4.		Kuty:
		- osnovni ponjattja
		- prylehli, sumizhni i vertykal‘ni kuty
		- kuty, jaki utvorjujut‘sja pry peretyni dvokh prjamykh sichnoju
		- vydy kutiv za hradusnoju miroju
		- vlastyvosti kutiv
5.		Paralel‘nist‘:
		- oznaky paralel‘nosti
		- teorema Falesa
6.		Perpendykuljarnist‘:
		- osnovni oznachennja
		- vlastyvosti perpendykuljarnykh prjamykh, perpendykuljariv ta pokhylykh
		Rozdil 2. TRYKUTNYKY
7.		Osnovni oznachennja
8.		Hostrokutnyy, prjamokutnyy i tupokutnyy trykutnyky
9.		Vlastyvosti kutiv i storin trykutnyka
10.		Rivnobedrenyy trykutnyk
11.		Rivnostoronniy trykutnyk
12.		Prjamokutnyy trykutnyk:
		- osnovni elementy
		- teorema Pifahora
		- spivvidnoshennja mizh storonamy i kutamy prjamokutnoho trykutnyka
13.		Rivnist‘ trykutnykiv:
		- oznachennja
		- oznaky rivnosti trykutnykiv
		- oznaky rivnosti prjamokutnykh trykutnykiv
14.		Podibnist‘ trykutnykiv:
		- oznachennja
		- oznaky podibnosti trykutnykiv
15.		Mediany, bisektrysy, vysoty, seredni liniji:
		- vlastyvosti median
		- vlastyvosti serednikh liniy trykutnyka
		- vlastyvosti bisektrys trykutnyka
		- vlastyvosti vysot trykutnyka
16.		Kolo, vpysane v trykutnyk
17.		Kolo, opysane navkolo trykutnyka
18.		Perymetr i ploshcha trykutnyka:
		- perymetr i pivperymetr
		- sposoby znakhodzhennja ploshchi trykutnyka
19.		Vlastyvosti pravyl‘nykh trykutnykiv
20.		Vlastyvosti prjamokutnykh trykutnykiv
21.		Rozv’jazuvannja trykutnykiv:
		- teorema synusiv
		- teorema kosynusiv
		- naslidky teoremy kosynusiv
		- standartni zadachi
		Rozdil 3. ChOTYRYKUTNYKY
22.		Osnovni oznachennja
23.		Kolo, vpysane v chotyrykutnyk
24.		Kolo, opysane navkolo chotyrykutnyka
25.		Vlastyvosti paralelohrama
26.		Vlastyvosti prjamokutnyka, romba i kvadrata:
		- prjamokutnyk
		- romb
		- prjamokutnyk i romb
		- kvadrat
27.		Vlastyvosti trapetsiji
28.		Ploshcha chotyrykutnykiv:
		- ploshcha dovil‘noho chotyrykutnyka
		- ploshcha kvadrata
		- ploshcha paralelohrama
		- ploshcha prjamokutnyka
		- ploshcha romba
		- ploshcha trapetsiji
		Rozdil 4. MNOHOKUTNYKY
29.		Osnovni oznachennja
30.		Pravyl‘ni mnohokutnyky
		Rozdil 5. KOLO
31.		Osnovni oznachennja
32.		Vlastyvosti osnovnykh elementiv
33.		Vzajemne rozmishchennja prjamoji ta kola i dvokh kil
34.		Kuty v koli
35.		Dovzhyna kola i duhy
36.		Ploshcha kruha ta yoho chastyny
		Rozdil 6. PERETVORENNJa
37.		Rukh:
		- paralel‘ne perenesennja
		- povorot
38.		Os‘ova symetrija
39.		Tsentral‘na symetrija
40.		Peretvorennja podibnosti

CD2
		VSTUP
1.		Heometrychni poznachennja
2.		Odynytsi vymirjuvannja dovzhyn i kutiv
3.		Aksiomy planimetriji i stereometriji:
		- aksiomy nalezhnosti (1,2)
		- aksiomy rozmishchennja (3,4)
		- aksiomy vymirjuvannja (5-9)
		- aksiomy vidkladannja (10-12)
		- aksioma paralel‘nykh (13)
		- aksiomy stereometriji
		- naslidky aksiom stereometriji
		Rozdil 7. STEREOMETRIJa
4.		Paralel‘nist‘ prjamykh i ploshchyn:
		- dvi prjami u prostori
		- paralel‘ni prjami
		- paralel‘nist‘ prjamoji i ploshchyny
		- paralel‘nist‘ ploshchyn
		- vlastyvosti paralel‘nykh ploshchyn
5.		Zobrazhennja prostorovykh fihur na ploshchyni:
		- paralel‘ne proektuvannja
		- vlastyvosti proektsiy
		- proektuvannja fihur
6.		Perpendykuljarnist‘ prjamykh i ploshchyn:
		- perpendykuljarnist‘ dvokh prjamykh u prostori
		- perpendykuljarnist‘ prjamoji i ploshchyny
		- vlastyvosti prjamoji i ploshchyny, perpendykuljarnykh mizh soboju
		- perpendykuljar i pokhyla
		- vlastyvosti perpendykuljariv i pokhylykh
		- perpendykuljarnist‘ ploshchyn
7.		Vidstani u prostori
8.		Kuty u prostori
		Rozdil 8. VEKTORY
9.		Osnovni ponjattja
10.		Suma i riznytsja vektoriv
11.		Mnozhennja vektora na chyslo
12.		Rozkladannja vektora za nekolinearnymy vektoramy:
		- oznachennja
		- zastosuvannja rozkladannja vektoriv za nekolinearnymy vektoramy:
		- 1. vyznachennja paralel‘nosti prjamykh
		- 2. nalezhnist‘ tochky prjamiy
		- 3. nalezhnist‘ tochky ploshchyni
		- 4. vyznachennja seredyny vidrizka
		- 5. vyznachennja polozhennja tochky na vidrizku
13.		Skaljarnyy dobutok vektoriv
		Rozdil 9. KOORDYNATY
14.		Dekartovi koordynaty:
		- Dekartovi koordynaty na ploshchyni
		- Dekartovi koordynaty u prostori
		- koordynaty vektora
15.		Osnovni koordynatni formuly:
		- vyznachennja vidstani mizh tochkamy
		- vyznachennja tochok na vidrizku
		- rivnjannja kola i sfery
		- rivnjannja prjamoji na ploshchyni
		- vzajemne rozmishchennja dvokh prjamykh u ploshchyni
		- rivnjannja ploshchyny u prostori
		- vzajemne rozmishchennja dvokh prjamykh u ploshchyni
16.		Koordynaty vektoriv
		Rozdil 10. MNOHOHRANNYKY
17.		Osnovni oznachennja
18.		Pryzma:
		- osnovni oznachennja ta formuly
		- paralelepiped
		- prjamokutnyy paralelepiped
19.		Piramida:
		- osnovni oznachennja i formuly
		- pravyl‘na piramida
		- zrizana piramida
		- pravyl‘na zrizana piramida
20.		Pravyl‘ni mnohohrannyky
		Rozdil 11. TILA OBERTANNJa
21.		Tsylindr:
		- osnovni oznachennja i vlastyvosti
		- osnovni formuly dlja vyznachennja ploshchi poverkhni i ob’jemu tsylindra
		- vzajemne rozmishchennja tsylindra i ploshchyny
22.		Konus:
		- osnovni oznachennja i vlastyvosti
		- osnovni formuly dlja vyznachennja ploshchi poverkhni i ob’jemu konusa
		- vzajemne rozmishchennja konusa i ploshchyny
23.		Zrizanyy konus:
		- osnovni oznachennja i vlastyvosti
		- osnovni formuly dlja vyznachennja ploshchi poverkhni i ob’jemu zrizanoho konusa
24.		Kulja i sfera:
		- osnovni oznachennja
		- vzajemne rozmishchennja kuli i ploshchyny
		- kul‘ovyy sehment i sehmentna poverkhnja
		- kul‘ovyy sektor
		- kul‘ovyy shar

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