ืงื‘ืœื” ื•ื’ื™ืžื˜ืจื™ื” โ€” ื—ื™ืฉื•ื‘ ืžืกืคืจื™ ื’ื•ืจืœ ืžื”ืืœืคื‘ื™ืช ื”ืขื‘ืจื™

ื‘ืงื‘ืœื”, ื›ืœ ืื•ืช ื‘ืขื‘ืจื™ืช ื”ื™ื ืžืกืคืจ โ€” ื•ื›ืœ ืžื™ืœื” ื”ื™ื ื—ื™ืฉื•ื‘. ืื™ืš ื”ื•ืคื›ื™ื ืืช ื”ืฉื ืฉืœื›ื, ืชืืจื™ืš ืœื™ื“ื” ืื• ืžื™ืœืช ืžืคืชื— ืœืžืกืคืจื™ ืœื•ื˜ื•?

ืžื” ื–ื” ื’ื™ืžื˜ืจื™ื”?

ื’ื™ืžื˜ืจื™ื” ื”ื™ื ืฉื™ื˜ื” ืขืชื™ืงื” ืžืชื•ืจืช ื”ืงื‘ืœื” ืฉืžื™ื™ื—ืกืช ืขืจืš ืžืกืคืจื™ ืœื›ืœ ืื•ืช ื‘ืขื‘ืจื™ืช. ื”ืžื™ืœื” ืขืฆืžื” ืžื’ื™ืขื” ืžื™ื•ื•ื ื™ืช ("geometria") ื•ืžืฉืžืฉืช ื›ื‘ืจ ืืœืคื™ ืฉื ื™ื ืœืคื™ืจื•ืฉ ื˜ืงืกื˜ื™ื, ืžืฆื™ืืช ืงืฉืจื™ื ื ืกืชืจื™ื, ื•... ื‘ื—ื™ืจืช ืžืกืคืจื™ ืœื•ื˜ื•.

ื”ืจืขื™ื•ืŸ ืคืฉื•ื˜: ื›ืœ ืื•ืช = ืžืกืคืจ. ืžื—ื‘ืจื™ื ืืช ื”ืžืกืคืจื™ื ืฉืœ ื›ืœ ื”ืื•ืชื™ื•ืช ื‘ืžื™ืœื” ื•ืžืงื‘ืœื™ื ืขืจืš. ืžื™ืœื™ื ืขื ืื•ืชื• ืขืจืš ื’ื™ืžื˜ืจื™ ื ื—ืฉื‘ื•ืช ืงืฉื•ืจื•ืช ื–ื• ืœื–ื•.

ื˜ื‘ืœืช ื”ื’ื™ืžื˜ืจื™ื” ื”ืžืœืื”

ืื•ืชืขืจืšืื•ืชืขืจืšืื•ืชืขืจืš
ื1ื™10ืง100
ื‘2ื›20ืจ200
ื’3ืœ30ืฉ300
ื“4ืž40ืช400
ื”5ื 50
ื•6ืก60
ื–7ืข70
ื—8ืค80
ื˜9ืฆ90

ื“ื•ื’ืžื” โ€” ื—ื™ืฉื•ื‘ ื”ืžื™ืœื” "ืฉืœื•ื"

ืฉ = 300 + ืœ = 30 + ื• = 6 + ื = 40

ืฉืœื•ื = 376

ืขื›ืฉื™ื• ืฆืจื™ืš ืœื”ืคื•ืš ืืช 376 ืœืžืกืคืจื™ ืœื•ื˜ื• (1-37). ื”ื’ื™ืฉื” ื”ื ืคื•ืฆื” ื‘ื™ื•ืชืจ:

ืื™ืš ืžืฉืชืžืฉื™ื ื‘ืฉื™ื˜ื” ื‘ืคื•ืขืœ?

ื”ื’ื™ืฉื” ื”ื ืคื•ืฆื” ื‘ื™ื•ืชืจ ื‘ืงืจื‘ ืฉื—ืงื ื™ื ืฉืžืืžื™ื ื™ื ื‘ื’ื™ืžื˜ืจื™ื”:

  1. ื‘ื—ืจื• ืžื™ืœื” ืžืฉืžืขื•ืชื™ืช โ€” ื”ืฉื ืฉืœื›ื, ืฉื ืฉืœ ืื“ื ืื”ื•ื‘, ืžื™ืœืช ื‘ืจื›ื”, ืื• ืคืกื•ืง
  2. ื—ืฉื‘ื• ืืช ื”ืขืจืš ื”ื’ื™ืžื˜ืจื™ โ€” ื—ื‘ืจื• ืืช ื›ืœ ื”ืื•ืชื™ื•ืช ืœืคื™ ื”ื˜ื‘ืœื”
  3. ื”ืคื™ืงื• ืžืกืคืจื™ื โ€” ืคืจืงื• ืืช ื”ืชื•ืฆืื” ืœืกืคืจื•ืช, ืฆืžืฆืžื•, ื•ื”ืฉืชืžืฉื• ื‘ืขืจื›ื™ ื”ืื•ืชื™ื•ืช ื”ื‘ื•ื“ื“ื•ืช
  4. ืกื ื ื• ืœื˜ื•ื•ื— 1-37 โ€” ื”ืœื•ื˜ื• ื”ื™ืฉืจืืœื™ ืžื’ื‘ื™ืœ ืžืกืคืจื™ื ืœ-37, ืื– ื›ืœ ืžืกืคืจ ืžืขืœ 37 ืฆืจื™ืš ืฆืžืฆื•ื ื ื•ืกืฃ

ื’ื™ืœื•ื™ ื ืื•ืช: ื’ื™ืžื˜ืจื™ื” ื”ื™ื ืžืกื•ืจืช ืจื•ื—ื ื™ืช ืขืชื™ืงื” ื•ืžื›ื•ื‘ื“ืช, ืืš ืื™ืŸ ืœื” ื‘ืกื™ืก ืžื“ืขื™ ืœื—ื™ื–ื•ื™ ืชื•ืฆืื•ืช ื”ื’ืจืœื”. ื”ื”ื’ืจืœื” ืืงืจืื™ืช ืœื—ืœื•ื˜ื™ืŸ. ื”ืฉื™ืžื•ืฉ ื‘ื’ื™ืžื˜ืจื™ื” ืœื‘ื—ื™ืจืช ืžืกืคืจื™ื ื”ื•ื ืขื ื™ื™ืŸ ืฉืœ ืืžื•ื ื” ื•ืžืฉืžืขื•ืช ืื™ืฉื™ืช โ€” ืœื ืฉืœ ื”ืกืชื‘ืจื•ืช.

ืœืžื” ืื ืฉื™ื ื‘ื›ืœ ื–ืืช ืžืฉืชืžืฉื™ื ื‘ื’ื™ืžื˜ืจื™ื”?

ื›ื™ ืœื‘ื—ื•ืจ ืžืกืคืจื™ื ืฉืžืฉืžืขื•ืชื™ื™ื ืœืš ื”ื•ืคืš ืืช ื”ืžืฉื—ืง ืœื—ื•ื•ื™ื” ืื™ืฉื™ืช. ื‘ืžืงื•ื ืžืกืคืจื™ื ืืงืจืื™ื™ื ืขืœ ื›ืจื˜ื™ืก, ื™ืฉ ืœืš ืžืกืคืจื™ื ืฉืžื—ื•ื‘ืจื™ื ืœืฉื ืฉืœืš, ืœืžืฉืคื—ื” ืฉืœืš, ืœืืžื•ื ื•ืช ืฉืœืš.

ื•ื’ื โ€” ื”ืกื™ื›ื•ื™ื™ื ื–ื”ื™ื ื‘ื›ืœ ืžืงืจื”. ื‘ื—ื™ืจืช ืžืกืคืจื™ื ืœืคื™ ื’ื™ืžื˜ืจื™ื” ืœื ืคื•ื’ืขืช ื‘ืกื™ื›ื•ื™ื™ื ืฉืœื›ื (ื•ืœื ืžืฉืคืจืช ืื•ืชื). ืื– ืื ื–ื” ืžื•ืกื™ืฃ ืœื›ื ื”ื ืื” ืžื”ืžืฉื—ืง โ€” ืœืžื” ืœื?

ื—ืฉื‘ื• ื’ื™ืžื˜ืจื™ื” ืื•ื˜ื•ืžื˜ื™ืช ื”ื›ืœื™ ืฉืœื ื• ืžื—ืฉื‘ ืืช ื”ื’ื™ืžื˜ืจื™ื” ื‘ืฉื‘ื™ืœื›ื ื•ืžืคื™ืง ืžืกืคืจื™ ืœื•ื˜ื• ืžื™ื“
ืคืชื— ืืช ื›ืœื™ ื”ื’ื™ืžื˜ืจื™ื” โ†’