Ginintuang parihaba at maladiyosang proporsyon-M-Macutay
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Transcript of Ginintuang parihaba at maladiyosang proporsyon-M-Macutay
![Page 1: Ginintuang parihaba at maladiyosang proporsyon-M-Macutay](https://reader036.fdocuments.net/reader036/viewer/2022081720/5584f0d2d8b42a73618b4dde/html5/thumbnails/1.jpg)
04/13/2023 1
Para sa mga taong akala’y
ayaw nila ng MATH
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04/13/2023 2
Ginintuang Parihaba at
Maladiyosang Proporsyon
ni MERRIDY V. MACUTAYDepartamento ng Matematika at Pisika
Pamantasang Estado ng Isabela
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04/13/2023 3
Heometriyang Euclid
• Mahalaga sa mga Griego ang heometriya.
• Tungkol ito sa pagsusukat ng mga bagay-bagay sa ating kapaligiran.
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04/13/2023 4
• Tanong…
Kung mayroon ba kayong 3 tutpik na di- magkatumbas ang haba…
ab
c
• Kung ang sagot ninyo ay
Correct kayo diyan!
…makakabuo kaya kayo parati ng tatsulok?
HINDI
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04/13/2023 5
Dahil mayroong rule diyan na tinatawag nating katangiang tatsulok na sa binigay na 3 magkakaibang haba ng tutpik na a, b, c,
Katangiang Tatsulok(Triangle Property)
Katangiang Tatsulok:
b + c > a
a + b > c;
a + c > b;
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04/13/2023 6
o di kaya, isa sa di-tumbasang
Katangiang Tatsulok(Triangle Property)
…na ang kahit aling panig ng tatsulok ay nasa pagitan ng difference at sum ng natitirang dalawang panig.
|a-b| < c < a+b
|a-c| < b < a+c o
|b-c| < a < b+c o
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04/13/2023 7
Pythagorean Theorem
a b c2 2 2 a
b
c
Kung saan ang a, b, c ay mga haba ng mga panig ng isang right na tatsulok at ang c ang pinakamahaba- tinatawag na hypotenuse
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04/13/2023 8
Narito ngayon ang napakagandang natagpuan nilang isang maladiyosang kasukatan na kinikilala ngayong…
“Maladiyosang Proporsyon”
or
Divine Proportion.
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04/13/2023 9
Ang Ginintuang Parihaba(Golden Rectangle)
Ang “maladiyosang proporsyon” ay “ratio ng length sa width,” ng isang katangi-tanging parihaba na tinawag na…
Ginintuang Parihaba
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04/13/2023 10
Ginintuang Parihaba at Maladiyosang Proporsyon
Sa ginintuang parihaba, ang ratio ng length sa width ay Φ,
Φ = 1.6180339...
(ang maladiyosang proporsyon)
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A B
C DM
E
Ang Pagdrowing ng Ginintuang Parihaba
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04/13/2023 12
Mga Kompyutasyon sa parihaba:
MB
CE
12
212
52
12
52
1 52
16180339. ...
Ang Ginintuang Parihaba
AB = 1
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04/13/2023 13
Maladiyosang Proporsyon
Ang maladiyosang proporsyong mula sa ginintuang parihabang ABECF ay
katumbas ng CE:AB = 1.6180339...
CE = haba;
AB = lapad ng ginintuang parihaba
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04/13/2023 14
= F 1.6180339...
Ginamit ito ng mga griego sa kanilang
arkitektura…
Maladiyosang Proporsyon:Saan Matatagpuan?
Ang Parthenon
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Sa mukha ng tao
ab
Maladiyosang Proporsyon:Saan Matatagpuan?
(Ilong-baba): (Bibig-baba)= a : b
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Sa mukha ng tao
a : b
a
b
Maladiyosang Proporsyon:Saan Matatagpuan?
a = Mula Ulo-baba
b = lapad ng mukha
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04/13/2023 17
Sa mukha ng tao.a : b
ab
Maladiyosang Proporsyon:Saan Matatagpuan?
a = Mata - Bibig
b = Mata - Ilong
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04/13/2023 18
Sa taoa : b a
b
Maladiyosang Proporsyon:Saan Matatagpuan?
a = Mula ulo -talampakan
b = Mula baywang-talampakan
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Sa taoa : b a b
Maladiyosang Proporsyon:Saan Matatagpuan?
a = Mula ulo -baywang
b = Mula ulo -dibdib
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04/13/2023 20
Sa taoa : b
b
a
Maladiyosang Proporsyon:Saan Matatagpuan?
a = Mula balikat-daliri
b = Mula balikat -siko
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04/13/2023 21
Sa taoa : b
b
a
Maladiyosang Proporsyon:Saan Matatagpuan?
a = Mula siko -daliri
b = Mula balikat -siko
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Sa mga baka at kalabaw
a : b
a
b
Maladiyosang Proporsyon:Saan Matatagpuan?
a = Nguso-Buntot
b = Leeg-Buntot
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04/13/2023 23
b = Distansya ng magkasunod na spikes
Maladiyosang Proporsyon: Saan Matatagpuan?
Sa Starfisha : b
a = Distansya ng alternate spikes.
a
b
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Maladiyosa ba ang inyong proporsyon?
Halina’t magsukat!
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04/13/2023 25
PANGWAKAS
Subalit kung sa ating pagsusukat, lumabas tayong kulang o sobra, huwag tayong mabahala. Babawi tayo sa iba gaya ng palangiti, maalalahanin, mapag-aruga, ma-aralin, matahimik, madasalin, atbp. Kung mayroon tayo ng mga ganoong katangian...
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04/13/2023 26
PANGWAKAS
Tayo pa rin ay maladiyos at maladiyosa at higit sa lahat…
G I N I N T U A N