BIBLIOGRAPHY

History

  • [2025-04-24 Thu 23:25]

KEYWORDS

DONE Quantity μ–‘

  • Quantity - Link μ–‘ - 링크

See also: λ˜ν•œ 보기:

  • discreteness λΆˆμ—°μ†μ„±

Topics 주제

1. The nature and existence of quantity: its relation to matter, substance, and body; the transcendental categories of quantity - μ–‘μ˜ 본질과 쑴재: κ·Έκ²ƒμ˜ 물질, 싀체, μ‹ μ²΄μ™€μ˜ 관계; μ–‘μ˜ μ„ ν—˜μ  λ²”μ£Όλ“€

a. The relation between quantity and quality: reducibility of quality to quantity - μ–‘κ³Ό 질의 관계: 질의 μ–‘μœΌλ‘œμ˜ ν™˜μ› κ°€λŠ₯μ„±

b. The relation of quantities: equality and proportion - μ–‘λ“€μ˜ 관계: 동등성과 λΉ„λ‘€μ„±

2. The kinds of quantity: continuous and discontinuous - μ–‘μ˜ μ’…λ₯˜: 연속적 및 λΆˆμ—°μ†μ 

3. The magnitudes of geometry: the relations of dimensionality - μ§€μ˜€λ©”νŠΈλ¦¬μ˜ 크기: μ°¨μ›μ˜ 관계

a. Straight lines: their length and their relations; angles, perpendiculars, parallels - 직선: κ·Έ 길이와 관계; 각도, μˆ˜μ§μ„ , 평행선

b. Curved lines: their kinds, number, and degree - 곑선: μ’…λ₯˜, 수, 그리고 정도

1) Circles 원
2) Ellipses 타원
3) Parabolas 포물선
4) Hyperbolas μŒκ³‘μ„ 

c. The relations of straight and curved lines: tangents, secants, asymptotes - 직선과 κ³‘μ„ μ˜ 관계: μ ‘μ„ , ν• μ„ , 점근선

d. Surfaces ν‘œλ©΄

1) The measurement and transformation of areas - μ˜μ—­μ˜ μΈ‘μ • 및 λ³€ν™˜
2) The relations of surfaces to lines and solids - λ©΄κ³Ό μ„  및 μž…μ²΄μ˜ 관계

e. Solids: regular and irregular - μž…μ²΄: μ •κ·œ 및 λΆ€μ •κ·œ

1) The determination of volume - λΆ€ν”Όμ˜ κ²°μ •
2) The relations of solids: inscribed and circumscribed spheres; solids of revolution - μž…μ²΄μ˜ 관계: λ‚΄μ ‘ 및 μ™Έμ ‘ ꡬ; νšŒμ „μ²΄ μž…μ²΄

4. Discrete quantities: number and numbering - μ΄μ‚°λŸ‰: μˆ˜μ™€ 번호 λ§€κΈ°κΈ°

a. The kinds of numbers: odd-even, square- triangular, prime-composite - 숫자의 μ’…λ₯˜: ν™€μˆ˜-짝수, 제곱수-μ‚Όκ°μˆ˜, μ†Œμˆ˜-ν•©μ„±μˆ˜

b. The relations of numbers to one another: multiples and fractions - μˆ«μžμ™€ 숫자의 관계: λ°°μˆ˜μ™€ λΆ„μˆ˜

c. The number series as a continuum - μ—°μ†μ²΄λ‘œμ„œμ˜ μˆ˜μ—΄

5. Physical quantities λ¬Όλ¦¬λŸ‰

a. Space: the matrix of figures and distances - 곡간: λ„ν˜•κ³Ό 거리의 ν–‰λ ¬

b. Time: the number of motion - μ‹œκ°„: μš΄λ™μ˜ 수

c. The quantity of motion: momentum, velocity, acceleration - μš΄λ™λŸ‰: μš΄λ™λŸ‰, 속도, 가속도

d. Mass: its relation to weight - μ§ˆλŸ‰: λ¬΄κ²Œμ™€μ˜ 관계

e. Force: its measure and the measure of its effect - 힘: κ·Έ μΈ‘μ •κ³Ό κ·Έ 효과의 μΈ‘μ •

6. The measurements of quantities: the relation of magnitudes and multitudes; the units of measurement - μˆ˜λŸ‰ μΈ‘μ •: 크기와 λ‹€μ€‘μ˜ 관계, μΈ‘μ • λ‹¨μœ„

a. Commensurable and incommensurable magnitudes - μƒμ‘ν•˜λŠ” 규λͺ¨μ™€ 상응할 수 μ—†λŠ” 규λͺ¨

b. Mathematical procedures in measurement: superposition, congruence; ratio and proportion; parameters and coordinates - μΈ‘μ •μ—μ„œμ˜ μˆ˜ν•™μ  절차: 쀑첩, 합동; λΉ„μœ¨κ³Ό λΉ„λ‘€; λ§€κ°œλ³€μˆ˜μ™€ μ’Œν‘œ

c. Physical procedures in measurement: experiment and observation; clocks, rules, balances - μΈ‘μ •μ—μ„œμ˜ 물리적 절차: μ‹€ν—˜κ³Ό κ΄€μ°°; μ‹œκ³„, 자, μ €μšΈ

7. Infinite quantity: the actual infinite and the potentially infinite quantity; the mathe- matical and physical infinite of the great and the small - λ¬΄ν•œν•œ μ–‘: μ‹€μ œ λ¬΄ν•œκ³Ό 잠재적 λ¬΄ν•œν•œ μ–‘; 크고 μž‘μ€ κ²ƒλ“€μ˜ μˆ˜ν•™μ  및 물리적 λ¬΄ν•œ