integraphn.

/ˈɪntɪɡrɑːf/

/ˈɪntɪɡraf/

Etymology: < French intégraphe (B. Abdank-Abakanowicz 1885, in La Lumière électr. 17 Oct. 111/1), < intégral integral adj. and n., intégrer to integrate v.: see -graph comb. form.

Any of various kinds of apparatus which mechanically draw a curve representing the variation in the integral of some given curve or function as a limit or parameter varies.

ΘΚΠ

society > communication > representation > a plastic or graphic representation > graphic representation > drawing plans or diagrams > [noun] > drawing instruments > for curves

curvograph1817

curvilinead1826

curve1844

French curve1844

integraph1885

1885 Minutes Proc. Inst. Civil Engineers 82 162 The machines that he [sc. B. Abdank-Abakanowicz] had called briefly ‘Integraphs’ traced these curves mechanically.

1894 Times 11 Aug. 11/1 Speaking of variable-line instruments, he said that these could be used to evaluate integrals with any assigned limits, while the other class only integrated round closed curves; they were therefore called integraphs.

1902 Encycl. Brit. XXX. 582/1 While an integrator determines the value of a definite integral, hence a mere constant, an integraph gives the value of an indefinite integral, which is a function of x.

1927 Jrnl. Franklin Inst. 203 64 Mechanical integrators usually evaluate the definite integral between given fixed limits... The present machine, which we have called an integraph, since it records the result of an integration in the form of a plot or graph, has therefore been developed to evaluate F(x) against x from the expression F(x) = ∫^x/ _a f₁(x)f₂(x)dx where f₁ and f₂ are known functions, formal or empirical.

1931 Jrnl. Franklin Inst. 212 77 The Photo-Electric Integraph..extends the range of practical solution of mathematical problems through its usefulness in the evaluation of integrals having a variable parameter within the integrand.

1961 S. Fifer Analogue Computation IV. xxv. 968 The development of the harmonic analyzer is closely associated with the development of two devices, (1) the planimeter,..and (2) the integraph, which draws a graph of the indefinite integral of a function.

This entry has not yet been fully updated (first published 1933; most recently modified version published online June 2021).

单词	integraph
释义	integraphn. /ˈɪntɪɡrɑːf//ˈɪntɪɡraf/ Etymology: < French intégraphe (B. Abdank-Abakanowicz 1885, in La Lumière électr. 17 Oct. 111/1), < intégral integral adj. and n., intégrer to integrate v.: see -graph comb. form. Any of various kinds of apparatus which mechanically draw a curve representing the variation in the integral of some given curve or function as a limit or parameter varies. ΘΚΠ society > communication > representation > a plastic or graphic representation > graphic representation > drawing plans or diagrams > [noun] > drawing instruments > for curves curvograph1817 curvilinead1826 curve1844 French curve1844 integraph1885 1885 Minutes Proc. Inst. Civil Engineers 82 162 The machines that he [sc. B. Abdank-Abakanowicz] had called briefly ‘Integraphs’ traced these curves mechanically. 1894 Times 11 Aug. 11/1 Speaking of variable-line instruments, he said that these could be used to evaluate integrals with any assigned limits, while the other class only integrated round closed curves; they were therefore called integraphs. 1902 Encycl. Brit. XXX. 582/1 While an integrator determines the value of a definite integral, hence a mere constant, an integraph gives the value of an indefinite integral, which is a function of x. 1927 Jrnl. Franklin Inst. 203 64 Mechanical integrators usually evaluate the definite integral between given fixed limits... The present machine, which we have called an integraph, since it records the result of an integration in the form of a plot or graph, has therefore been developed to evaluate F(x) against x from the expression F(x) = ∫^x/ _a f₁(x)f₂(x)dx where f₁ and f₂ are known functions, formal or empirical. 1931 Jrnl. Franklin Inst. 212 77 The Photo-Electric Integraph..extends the range of practical solution of mathematical problems through its usefulness in the evaluation of integrals having a variable parameter within the integrand. 1961 S. Fifer Analogue Computation IV. xxv. 968 The development of the harmonic analyzer is closely associated with the development of two devices, (1) the planimeter,..and (2) the integraph, which draws a graph of the indefinite integral of a function. This entry has not yet been fully updated (first published 1933; most recently modified version published online June 2021). < n.1885
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