TABLE OF CONTENTS
xi
PARAGRAPHS - Double Significance of R and l................................................................................................................................................................................................................................................................................................................................................................................................
291 - Facsimiles of Symbols in Manuscripts................................................................................................................................................................................................................................................................................................................................................................................................
293 - Two General Plans for Marking Powers................................................................................................................................................................................................................................................................................................................................................................................................
294 - Early Symbolisms: Abbreviative Plan, Index Plan................................................................................................................................................................................................................................................................................................................................................................................................
295 - Notations Applied Only to an Unknown Quantity, the Base Being Omitted................................................................................................................................................................................................................................................................................................................................................................................................
296 - Notations Applied to Any Quantity, the Base Being Designated................................................................................................................................................................................................................................................................................................................................................................................................
297 - Descartes’ Notation of 1637................................................................................................................................................................................................................................................................................................................................................................................................
298 - Did Stampioen Arrive at Descartes’ Notation Independently?................................................................................................................................................................................................................................................................................................................................................................................................
299 - Notations Used by Descartes before 1637................................................................................................................................................................................................................................................................................................................................................................................................
300 - Use of Hérigone's Notation after 1637................................................................................................................................................................................................................................................................................................................................................................................................
301 - Later Use of Hume’s Notation of 1636................................................................................................................................................................................................................................................................................................................................................................................................
302 - Other Exponential Notations Suggested after 1637................................................................................................................................................................................................................................................................................................................................................................................................
303 - Spread of Descartes' Notation................................................................................................................................................................................................................................................................................................................................................................................................
307 - Negative, Fractional, and Literal Exponents................................................................................................................................................................................................................................................................................................................................................................................................
308 - Imaginary Exponents................................................................................................................................................................................................................................................................................................................................................................................................
309 - Notation for Principal Values................................................................................................................................................................................................................................................................................................................................................................................................
312 - Complicated Exponents................................................................................................................................................................................................................................................................................................................................................................................................
313 - D. F. Gregory’s................................................................................................................................................................................................................................................................................................................................................................................................
314 - Conclusions................................................................................................................................................................................................................................................................................................................................................................................................
315 - Signs for Roots................................................................................................................................................................................................................................................................................................................................................................................................
316–38 - Early Forms, General Statement................................................................................................................................................................................................................................................................................................................................................................................................
316, 317 - The Sign ℞, First Appearance................................................................................................................................................................................................................................................................................................................................................................................................
318 - Sixteenth-Century Use of ℞................................................................................................................................................................................................................................................................................................................................................................................................
319 - Seventeenth-Century Use of ℞................................................................................................................................................................................................................................................................................................................................................................................................
321 - The Sign l................................................................................................................................................................................................................................................................................................................................................................................................
322 - Napier’s Line Symbolism................................................................................................................................................................................................................................................................................................................................................................................................
323 - The Sign √................................................................................................................................................................................................................................................................................................................................................................................................
324–38 - Origin of √................................................................................................................................................................................................................................................................................................................................................................................................
324 - Spread of the √................................................................................................................................................................................................................................................................................................................................................................................................
327 - Rudolff’s Signs outside of Germany................................................................................................................................................................................................................................................................................................................................................................................................
328 - Stevin’s Numeral Root-Indices................................................................................................................................................................................................................................................................................................................................................................................................
329 - Rudolff and Stifel's Aggregation Signs................................................................................................................................................................................................................................................................................................................................................................................................
332 - Descartes' Union of Radical Sign and Vinculum................................................................................................................................................................................................................................................................................................................................................................................................
333 - Other Signs of Aggregation of Terms................................................................................................................................................................................................................................................................................................................................................................................................
334 - Redundancy in the Use of Aggregation Signs................................................................................................................................................................................................................................................................................................................................................................................................
335 - Peculiar Dutch Symbolism................................................................................................................................................................................................................................................................................................................................................................................................
336 - Principal Root-Value................................................................................................................................................................................................................................................................................................................................................................................................
337 - Recommendation of the U.S. National Committee................................................................................................................................................................................................................................................................................................................................................................................................
338 - Signs for Unknown Numbers.................................................................................................................................................................................................................................................................................................................................................................................................
339–41 - Early Forms................................................................................................................................................................................................................................................................................................................................................................................................
339