## Uniplanar Algebra: Being Part I of a Prop©¡deutic to the Higher Mathematical Analysis |

### µµ¼ º»¹®¿¡¼

4°³ÀÇ °á°ú Áß 1 - 4°³

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... positive integers, but all

and fractional. A final step through evolution, or the extracting of roots, bringing

with it the logarithmic operation, leads to imaginary and complex numbers—that

is, ...

... positive integers, but all

**rational numbers**, both positive and negative, integraland fractional. A final step through evolution, or the extracting of roots, bringing

with it the logarithmic operation, leads to imaginary and complex numbers—that

is, ...

97 ÆäÀÌÁö

Every magnitude, real, Żmaginary or complex, as represented by a straight line,

can &e measured by means of an arbitrary scale of equal parts, called units, and

can be expressed in terms of the assumed unit by a

Every magnitude, real, Żmaginary or complex, as represented by a straight line,

can &e measured by means of an arbitrary scale of equal parts, called units, and

can be expressed in terms of the assumed unit by a

**rational number**, real, ... 99 ÆäÀÌÁö

The successive

measures of OP, but never exactly. If the process be continued to the (q -- 1)th

term, it is obvious that the error committed in assuming the

obtained as ...

The successive

**rational numbers**will then be more and more nearly themeasures of OP, but never exactly. If the process be continued to the (q -- 1)th

term, it is obvious that the error committed in assuming the

**rational number**thusobtained as ...

100 ÆäÀÌÁö

By the process just described Y these two real constituents P may be separately

measured by

each case, are O * A * less than an arbitrarily small Fig. 38. number. Thus let m ...

By the process just described Y these two real constituents P may be separately

measured by

**rational numbers**in terms y of an arbitrary unit, with errors that, ineach case, are O * A * less than an arbitrarily small Fig. 38. number. Thus let m ...

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2-plane addition and subtraction Agenda ALGEBRAIC OPERATION amplitude angle arc-ratio arcs base circular and hyperbolic circular sector commutative law complex quantities construction COROLLARY corresponding cosh cosk cos¨¬ cotk csch defined definition denoted direction distance equal equation Euclid's Elements expm exponential expressed factors formula geometric addition Goniometric Ratios Hence hyperbolic functions Hyperbolic Ratios hyperbolic sector imaginary indeterminate form integers intercept inverse Inverse Functions involution law of involution length logarithmic spiral logarithms log¨¬ metathesis modocyclic modulus natural logarithms negative parallel plane points of division polynomial positive Prop proportion PROPOSITION Prove the following quotient rational numbers real axis real magnitudes real quantities reciprocal represent respectively sech sector sinh sink sink w ſ¨¬ straight line tangent tanh tank tensor tion triangle unit circle zero