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§ 2. Theory of Interpolation.

562. General nature of discussion

563—565. Interpolation in table of logarithms

566–575. Interpolation in tables of natural ratios

576—583. Interpolation in tables of the log-ratios

584—587. Summary of results .

588. Application to errors

EXAMPLES XX.

398, 399

399-401

401-406

406—-410

410—412

412, 413

413—415

CHAPTER XXI.

IMAGINARY AND COMPLEX QUANTITIES.

1. General Theorems.

589—593. Symbolic definition and use of imaginaries

594—597. Theorems on conjugates, norms, and moduli

598—600. Theorems on equations with complex roots

601, 602.

Product of expressions of form cos a + i sin a

603-605. De Moivre's Theorem

606—609. The qth roots of complex expressions

610_614. Factorisations by solutions of equations .

416_-418

418, 419

419, 420

420, 421

421-423

423-426

4264429

ERRATA.

p. 80, 1. 16, for 132 read 133. p. 156, 1. 10, for S read 0. p. 264, 1. 8, for 0 = int +a or }(In +1) 7- a read 0=nt +a.

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