ืžื—ืฉื‘ื•ืŸ ื’ื™ืื•ืžื˜ืจื™ื” ืขื ืคืจื•ืฆื“ื•ืจื”

ืžื›ื™ืœ ืžื•ื“ืขื•ืชืจื›ื™ืฉื•ืช ืžืชื•ืš ื”ืืคืœื™ืงืฆื™ื”
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ื”ื•ืจื“ื•ืช
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ืฆื™ืœื•ื ืžืกืš
ืฆื™ืœื•ื ืžืกืš
ืฆื™ืœื•ื ืžืกืš
ืฆื™ืœื•ื ืžืกืš
ืฆื™ืœื•ื ืžืกืš
ืฆื™ืœื•ื ืžืกืš
ืฆื™ืœื•ื ืžืกืš
ืฆื™ืœื•ื ืžืกืš
ืฆื™ืœื•ื ืžืกืš
ืฆื™ืœื•ื ืžืกืš
ืฆื™ืœื•ื ืžืกืš
ืฆื™ืœื•ื ืžืกืš
ืฆื™ืœื•ื ืžืกืš
ืฆื™ืœื•ื ืžืกืš
ืฆื™ืœื•ื ืžืกืš
ืฆื™ืœื•ื ืžืกืš
ืฆื™ืœื•ื ืžืกืš
ืฆื™ืœื•ื ืžืกืš
ืฆื™ืœื•ื ืžืกืš
ืฆื™ืœื•ื ืžืกืš
ืฆื™ืœื•ื ืžืกืš
ืฆื™ืœื•ื ืžืกืš
ืฆื™ืœื•ื ืžืกืš
ืฆื™ืœื•ื ืžืกืš
ืฆื™ืœื•ื ืžืกืš
ืฆื™ืœื•ื ืžืกืš
ืฆื™ืœื•ื ืžืกืš
ืฆื™ืœื•ื ืžืกืš
ืฆื™ืœื•ื ืžืกืš
ืฆื™ืœื•ื ืžืกืš
ืฆื™ืœื•ื ืžืกืš
ืฆื™ืœื•ื ืžืกืš

ืžื™ื“ืข ืขืœ ื”ืืคืœื™ืงืฆื™ื” ื”ื–ื•

ื—ืฉื‘ ืืช ื”ื–ื•ื•ื™ื•ืช, ื”ืจื’ืœื™ื™ื ืื• ื”ื”ื™ืคื•ื˜ื ื•ื–ื” ืฉืœ ื”ืžืฉื•ืœืฉื™ื ื‘ืงืœื•ืช ื‘ืขื–ืจืช ืžื—ืฉื‘ื•ืŸ ื’ื™ืื•ืžื˜ืจื™ื” ื•ื˜ืจื™ื’ื•ื ื•ืžื˜ืจื™ื” ื–ื” ืขื ื ื•ืกื—ื”, ืฆืขื“ื™ื ื•ืคืชืจื•ืŸ!

ื“ืžื•ื™ื•ืช ื’ื™ืื•ืžื˜ืจื™ื•ืช ืฉื•ื ื•ืช ื”ืžืฉืžืฉื•ืช ื‘ืžื—ืฉื‘ื•ืŸ ื”ื˜ืจื™ื’ื•ื ื•ืžื˜ืจื™ื” ืฉืœื ื• ืขื ื ื•ืกื—ื”, ืฉืœื‘ื™ื ื•ืคืชืจื•ืŸ:

- ืžืฉื•ืœืฉ ื™ืฉืจ.
- ืžืฉื•ืœืฉ ืฉื•ื•ื” ืฆืœืขื•ืช.
- ืžืฉื•ืœืฉ ืฉื•ื•ื” ืฉื•ืงื™ื™ื.
- ืžืฉื•ืœืฉ ืฉื•ื ื” ืฆืœืขื•ืช.

ืืชื” ื™ื›ื•ืœ ืœื—ืฉื‘:

-ืึตื–ื•ึนืจ
ื™ื™ืฉื•ื ืคืชืจื•ืŸ ื™ื—ืก ื˜ืจื™ื’ื•ื ื•ืžื˜ืจื™ื”
-ื”ื™ืงืฃ
-ื’ื•ึนื‘ึทื”
ื–ื•ื•ื™ื•ืช
ื ื•ืกื—ืื•ืช ื˜ืจื™ื’ื•ื ื•ืžื˜ืจื™ื”


ืคื•ื ืงืฆื™ื•ืช ื˜ืจื™ื’ื•ื ื•ืžื˜ืจื™ื•ืช ืฉื•ื ื•ืช ื•ื–ื”ื•ื™ื•ืช ื’ื™ืื•ืžื˜ืจื™ื•ืช ื™ื”ื™ื• ื”ืจื‘ื” ื™ื•ืชืจ ืงืœื•ืช ืขื ืžื—ืฉื‘ื•ืŸ ื˜ืจื™ื’ื•ื ื•ืžื˜ืจื™ื” ื–ื” ืขื ื ื•ืกื—ื”, ืฉืœื‘ื™ื ื•ืคืชืจื•ืŸ! ื”ืื ื’ื ืžื—ืฉื‘ื•ืŸ ื–ื•ื•ื™ืช!

ืืชื” ื™ื›ื•ืœ ืœื—ืฉื‘ ื‘ืงืœื•ืช ื–ื•ื•ื™ื•ืช ื‘ืžืขืœื•ืช ื•ืจื“ื™ืื ื™ื ื‘ืขื–ืจืช ืืคืœื™ืงืฆื™ื™ืช ืคืชืจื•ืŸ ื”ื™ื—ืก ื”ื˜ืจื™ื’ื•ื ื•ืžื˜ืจื™ ื”ื–ื”!

ืžื—ืฉื‘ื•ืŸ ื˜ืจื™ื’ื•ื ื•ืžื˜ืจื™ื” ื–ื” ืขื ื ื•ืกื—ื”, ืฉืœื‘ื™ื ื•ืคืชืจื•ืŸ! ืžื—ืฉื‘ื•ืŸ ื–ื•ื•ื™ืช ื–ื” ื™ื›ื•ืœ ืœื”ื™ื•ืช ืฉื™ืžื•ืฉื™ ืขื‘ื•ืจ:

- ืกื˜ื•ื“ื ื˜ื™ื: ื’ื™ืื•ืžื˜ืจื™ื” ื•ื˜ืจื™ื’ื•ื ื•ืžื˜ืจื™ื” ื”ื ืงืฉื™ื ืžืื•ื“. ื‘ืขื–ืจืช ืžื—ืฉื‘ื•ืŸ ื˜ืจื™ื’ื•ื ื•ืžื˜ืจื™ื” ื–ื” ืขื ื”ื ื•ืกื—ื” ื™ื”ื™ื” ืœื›ื ืงืœ ื™ื•ืชืจ ืœืœืžื•ื“ ืœืคืชื•ืจ ื‘ืขื™ื•ืช ืžืชืžื˜ื™ื•ืช ื•ื–ื”ื•ื™ื•ืช ื˜ืจื™ื’ื•ื ื•ืžื˜ืจื™ื•ืช ืœื’ื‘ื™ ื”ืžืฉื•ืœืฉื™ื, ื”ืžืขื’ืœ, ื”ืจื™ื‘ื•ืข, ื”ื”ื™ืงืฃ, ื”ืžืœื‘ืŸ ... ืœืคืชื•ืจ ื‘ืขื™ื•ืช ื˜ืจื™ื’ื•ื ื•ืžื˜ืจื™ื” ื•ื’ื™ืื•ืžื˜ืจื™ื” ืœื’ื‘ื™ ื”ืฉื˜ื—, ื”ื™ืงืฃ, ื ืคื—, ืื•ืจืš ืฆื“ื“ื™ื, ืจื’ืœื™ื™ื ืฉืœ ื”ื™ืคื•ื˜ื ื•ื–ื” ... ืชื•ื›ืœื• ื’ื ืœื”ืฉืชืžืฉ ื‘ื ื•ืกื—ืื•ืช ื”ื˜ืจื™ื’ื•ื ื•ืžื˜ืจื™ื” ื•ื›ืŸ ื‘ืคื™ืชื•ื— ื”ืชืจื’ื™ืœ. ื ื™ืชืŸ ื’ื ืœื”ืžื™ืจ ืžืขืœื•ืช ืื• ืจื“ื™ืื ื™ื
ื”ืื ื™ืฉ ืœืš ืžื‘ื—ืŸ ื ื•ืกื—ืื•ืช ื˜ืจื™ื’ื•ื ื•ืžื˜ืจื™ื”? ืœืœืžื•ื“ ื‘ืืžืฆืขื•ืช ืžื—ืฉื‘ื•ืŸ ื˜ืจื™ื’ื•ื ื•ืžื˜ืจื™ื” ื•ื’ื™ืื•ืžื˜ืจื™ื” - ืขื ื ื•ืกื—ื”, ืฉืœื‘ื™ื ื•ืคืชืจื•ืŸ! ื–ื” ื™ื™ืชืŸ ืœืš ืืช ื”ืฉืœื‘ื™ื ืœืขืงื•ื‘ ื•ืืช ื”ืคืชืจื•ืŸ. ืœืœืžื•ื“ ื˜ืจื™ื’ื•ื ื•ืžื˜ืจื™ื” ื•ื’ื™ืื•ืžื˜ืจื™ื” ื‘ืืžืฆืขื•ืช ืžื—ืฉื‘ื•ืŸ ื”ื˜ืจื™ื’ื•ื ื•ืžื˜ืจื™ื” ืฉืœื ื• - ืขื ื ื•ืกื—ื”, ืฉืœื‘ื™ื ื•ืคืชืจื•ืŸ! ื”ืื ืืชื” ื–ืงื•ืง ืœื–ื”ื•ื™ื•ืช ื”ื˜ืจื™ื’ื•ื ื•ืžื˜ืจื™ื•ืช? ืื•ืœื™ ื”ื ื•ืกื—ืื•ืช ืœื˜ืจื™ื’ื•ื ื•ืžื˜ืจื™ื” ืžืื•ื“ ืงืฉื•ืช ื‘ืขื™ื ื™ืš? ืขื ืžื—ืฉื‘ื•ืŸ ื”ื˜ืจื™ื’ื•ื ื•ืžื˜ืจื™ื” ื™ื”ื™ื” ืงืœ ืžืื•ื“ !!!

-ืžื•ืจื™ื: ื”ืื ืืชื” ืฆืจื™ืš ืœื™ืฆื•ืจ ืชืจื’ื™ืœื™ ื˜ืจื™ื’ื•ื ื•ืžื˜ืจื™ื” ื—ื“ืฉื™ื? ื ื•ืกื—ืื•ืช ื˜ืจื™ื’ื•ื ื•ืžื˜ืจื™ื” ื—ื“ืฉื•ืช? ื™ื—ืก ื˜ืจื™ื’ื•ื ื•ืžื˜ืจื™ ื ื•ืกืฃ ืขื ืคืชืจื•ืŸ? ืžื‘ื—ื ื™ ืžืชืžื˜ื™ืงื” ืฉื•ื ื™ื ืœืชืœืžื™ื“ื™ื ืฉืœืš? ืฆื•ืจ ื—ื•ืžืจ ื‘ืืžืฆืขื•ืช ืžื—ืฉื‘ื•ืŸ ื˜ืจื™ื’ื•ื ื•ืžื˜ืจื™ื” ื–ื” ืขื ืฉืœื‘ื™ื ื•ืคืชืจื•ืŸ! ื ื•ืกื—ืื•ืช ื”ื˜ืจื™ื’ื•ื ื•ืžื˜ืจื™ื” ืฉืœื ื• ื‘ืขื–ืจืช ืžื—ืฉื‘ื•ืŸ ื”ื–ื•ื•ื™ื•ืช ืฉืœื ื• ืชื•ื›ืœ ืœื—ืฉื‘ ื—ื™ืฉื•ื‘ื™ื ื’ื™ืื•ืžื˜ืจื™ื™ื ืฉื•ื ื™ื ืขื‘ื•ืจ ื”ืชืœืžื™ื“ื™ื ืฉืœืš ืœืœืžื•ื“ ื ื•ืกื—ืื•ืช ื’ื™ืื•ืžื˜ืจื™ื” ื•ื˜ืจื™ื’ื•ื ื•ืžื˜ืจื™ื”. ื‘ืขื–ืจืช ืžื—ืฉื‘ื•ืŸ ื˜ืจื™ื’ื•ื ื•ืžื˜ืจื™ื” ื–ื” ืขื ืฉืœื‘ื™ื ื•ืคืชืจื•ืŸ! ืžื—ืฉื‘ื•ืŸ ื–ื•ื•ื™ื•ืช ื•ื’ื™ืื•ืžื˜ืจื™ื” ื”ืขื‘ื•ื“ื” ืฉืœืš ืชื”ื™ื” ื”ืจื‘ื” ื™ื•ืชืจ ืงืœื”. ื ื™ืชืŸ ื’ื ืœื‘ืฆืข ื”ืžืจื•ืช ืฉืœ ืžืขืœื•ืช ืื• ืจื“ื™ืื ื™ื

-ืงืจืคื™ื ื˜ืจ: ื‘ืžืงืฆื•ืข ื–ื” ื™ืฉ ื—ืฉื™ื‘ื•ืช ืจื‘ื” ืœืžืชืžื˜ื™ืงื”, ื™ื—ืกื™ ื’ื™ืื•ืžื˜ืจื™ื” ื•ื˜ืจื™ื’ื•ื ื•ืžื˜ืจื™ื” ืขื ืคืชืจื•ืŸ. ืืœ ืชื™ื›ืฉืœ ืขื ืžื—ืฉื‘ื•ืŸ ื˜ืจื™ื’ื•ื ื•ืžื˜ืจื™ื” ื–ื” ืขื ืฉืœื‘ื™ื ื•ืคืชืจื•ืŸ! ื‘ืขื–ืจืช ืžื—ืฉื‘ื•ืŸ ื”ื’ื™ืื•ืžื˜ืจื™ื” ืฉืœื ื• ืชื•ื›ืœื• ืœื—ืฆื•ื‘ ืืช ื”ืขืฅ ืฉืœื›ื ื‘ืฆื•ืจื•ืช ืฉื•ื ื•ืช ื›ืžื• ืžืฉื•ืœืฉ ืฉื•ื•ื” ืฉื•ืงื™ื™ื, ืขื™ื’ื•ืœ, ืจื™ื‘ื•ืข, ืžืฉื•ืœืฉ ืกืงืœื ื™, ื”ื™ืงืฃ, ืžืœื‘ืŸ ... ื—ื™ืฉื•ื‘ ืกื™ื ื•ืกื™ื, ืงื•ืกื™ื ื•ืกื™ื, ื”ื™ืคื•ื˜ื ื•ื–ื™ื, ื ื•ืกื—ืื•ืช ื˜ืจื™ื’ื•ื ื•ืžื˜ืจื™ื”, ืื–ื•ืจื™ื ...
ืชื—ืกื•ืš ื‘ื—ื•ืžืจ ื•ื™ื”ื™ื” ืžื“ื•ื™ืง ื™ื•ืชืจ ืขื ื—ื™ืฉื•ื‘ื™ ื˜ืจื™ื’ื•ื ื•ืžื˜ืจื™ื” ื•ื’ื™ืื•ืžื˜ืจื™ื”.

-ืžื”ื ื“ืกื™ื ื•ืื“ืจื™ื›ืœื™ื: ื”ืขื•ืœื ืฉืœื ื• ืขืฉื•ื™ ื“ืžื•ื™ื•ืช ื’ื™ืื•ืžื˜ืจื™ื•ืช ื•ื ื•ืกื—ืื•ืช ื˜ืจื™ื’ื•ื ื•ืžื˜ืจื™ื•ืช, ืื– ืขื ืžื—ืฉื‘ื•ืŸ ื˜ืจื™ื’ื•ื ื•ืžื˜ืจื™ื” ื–ื” ืขื ืฉืœื‘ื™ื ื•ืคืชืจื•ืŸ! ื‘ืืžืฆืขื•ืช ืžื—ืฉื‘ื•ืŸ ื–ื•ื•ื™ืช ื–ื” ืชื•ื›ืœื• ืœื‘ืฆืข ืืช ื”ื—ื™ืฉื•ื‘ื™ื ื”ื˜ืจื™ื’ื•ื ื•ืžื˜ืจื™ื™ื ื•ื”ื’ื™ืื•ืžื˜ืจื™ื™ื ืฉืœื›ื ื‘ืฆื•ืจื” ืืžื™ื ื” ื•ื‘ื˜ื•ื—ื”.

- ื‘ื ื™ื™ื”, ืฆื™ื™ืจื™ื ...: ื‘ืขื‘ื•ื“ืชื ื”ื ืชืžื™ื“ ืฆืจื™ื›ื™ื ืœื—ืฉื‘ ืฉื˜ื—ื™ื, ืžืฉื˜ื—ื™ื, ื”ื™ืงืคื™ื, ื ืคื—ื™ื ... ืขื ืžื—ืฉื‘ื•ืŸ ื˜ืจื™ื’ื•ื ื•ืžื˜ืจื™ื” ื–ื” ืขื ืฆืขื“ื™ื ื•ืคืชืจื•ืŸ! ื ื•ืกื—ืื•ืช ื”ืžืชืžื˜ื™ืงื” ืฉืœื ื• ื•ืžื—ืฉื‘ื•ืŸ ืžืฉื•ืœืฉ ื–ื” ื™ื•ื›ืœื• ืœื—ืฉื‘ ืืช ืฉื˜ื—ื™ ื”ืงื™ืจื•ืช ื–ื”ื™ื ืœืฆื•ืจื” ื”ื’ื™ืื•ืžื˜ืจื™ืช ืฉื™ืฉ ืœื”ื!

- ืืžื ื™ื: ื›ืœ ื”ืชื—ื•ืžื™ื ื”ืœืœื• ืžื‘ื•ืกืกื™ื ืขืœ ื“ืžื•ื™ื•ืช ื’ื™ืื•ืžื˜ืจื™ื•ืช ื•ื˜ืจื™ื’ื•ื ื•ืžื˜ืจื™ื”. ื‘ืขื–ืจืช ืžื—ืฉื‘ื•ืŸ ื˜ืจื™ื’ื•ื ื•ืžื˜ืจื™ื” ื–ื” ืขื ืฉืœื‘ื™ื ื•ืคืชืจื•ืŸ! ื‘ืขื–ืจืช ืžื—ืฉื‘ื•ืŸ ื’ื™ืื•ืžื˜ืจื™ื” ื–ื” ืชื•ื›ืœื• ืœืฉื›ืœืœ ืืช ื”ืกื’ื ื•ืŸ ืฉืœื›ื ื•ืœื™ืฆื•ืจ ื™ืฆื™ืจื•ืช ืืžื ื•ืช ื‘ื’ื™ืื•ืžื˜ืจื™ื” ื•ื˜ืจื™ื’ื•ื ื•ืžื˜ืจื™ื” ืžื•ืฉืœืžืช !!

ืžื˜ืจืืกืงื• ืื ื• ื”ื•ืœื›ื™ื ืœืขื“ื›ืŸ ืืช ืžื—ืฉื‘ื•ืŸ ื”ื˜ืจื™ื’ื•ื ื•ืžื˜ืจื™ื” ื‘ืฉืœื‘ื™ื ื•ืคืชืจื•ืŸ! ืขื ื”ื”ืขืจื•ืช ืฉืœืš!

ื”ืฉืชืžืฉ ื‘ื™ื—ืกื™ ื˜ืจื™ื’ื•ื ื•ืžื˜ืจื™ื” ืขื ืคืชืจื•ืŸ ื•ื ื•ืกื—ืื•ืช ืื• ื‘ืžื—ืฉื‘ื•ืŸ ื˜ืจื™ื’ื•ื ื•ืžื˜ืจื™ื” ืขื ืฉืœื‘ื™ื ื•ืคืชืจื•ืŸ ืœื”ื•ื›ื—ืช ืžืชืžื˜ื™ืงื”!
ืขื“ื›ื•ืŸ ืื—ืจื•ืŸ ื‘ืชืืจื™ืš
17 ื‘ืคื‘ืจืณ 2025

ืื‘ื˜ื—ืช ื ืชื•ื ื™ื

ื›ื“ื™ ืœืฉืžื•ืจ ืขืœ ื”ื‘ื˜ื™ื—ื•ืช ืฆืจื™ืš ืงื•ื“ื ื›ืœ ืœื”ื‘ื™ืŸ ืื™ืš ื”ืžืคืชื—ื™ื ืื•ืกืคื™ื ื•ืžืฉืชืคื™ื ืืช ื”ื ืชื•ื ื™ื ืฉืœืš. ื ื•ื”ืœื™ ืคืจื˜ื™ื•ืช ื”ื ืชื•ื ื™ื ื•ืื‘ื˜ื—ืช ื”ื ืชื•ื ื™ื ืขืฉื•ื™ื™ื ืœื”ืฉืชื ื•ืช ื‘ื”ืชืื ืœืฉื™ืžื•ืฉ, ืœืื–ื•ืจ ื•ืœื’ื™ืœ ื”ืžืฉืชืžืฉ. ื”ืžืคืชื— ืกื™ืคืง ืืช ื”ืžื™ื“ืข ื”ื–ื” ื•ื”ื•ื ืขืฉื•ื™ ืœืขื“ื›ืŸ ืื•ืชื• ืžื“ื™ ืคืขื.
ื”ืืคืœื™ืงืฆื™ื” ื”ื–ืืช ืขืฉื•ื™ื” ืœืฉืชืฃ ืืช ืกื•ื’ื™ ื”ื ืชื•ื ื™ื ื”ืืœื” ืขื ืฆื“ื“ื™ื ืฉืœื™ืฉื™ื™ื
ืžื™ืงื•ื, ืคืขื™ืœื•ืช ื‘ืืคืœื™ืงืฆื™ื•ืช ื•-2 ื ื•ืกืคื™ื
ื”ื ืชื•ื ื™ื ืžื•ืฆืคื ื™ื ื‘ื–ืžืŸ ื”ื”ืขื‘ืจื”
ืื™ ืืคืฉืจ ืœืžื—ื•ืง ืืช ื”ื ืชื•ื ื™ื

ืžื” ื—ื“ืฉ?

Geometry Solver and Trig Solver: Trigonometry Calculator and geometry calculator: New update. New geometric figures and error solution.

ืชืžื™ื›ื” ื‘ืืคืœื™ืงืฆื™ื”

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Cristina Muรฑoz Castillo
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