Dudley Leavitt, Pike's System of Arithmetick, 1826
The following excerpt is from the book Pike's System of Arithmetick Abridged : Designed to Facilitate The Study of the Science of Numbers by Dudley Leavitt, published in 1826.
The portion quoted here concerns the "Chuquet" numbernames.
This book is based on Pike's A New and Complete System of Arithmetick, 1822.
This book is referenced by W. D. Henkle in Names of the Periods in Numeration, 1860.
Note. — Six places of figures, beginning on the right, are called a period; but they are commonly divided into half periods of three figures each. This division enables us to read any number of figures as easily as we can read the first period.
Rule. — Commit the words at the head of the Table, viz. units, tens, hundreds, &c. to memory; then, to the simple value of each figure, join the name of its place, beginning at the left hand and reading towards the right. More particularly — 1. Place a dot under the right hand figure of the 2d, 4th, 6th, 8th, &c. half periods, and the figure over such dot will, universally, have the name of thousands. 2. Place the figures 1, 2, 3, 4, &c. as indices, over the 2d, 3d, 4th, &c. period: These indices will then show the number of times the millions are involved — the figure under 1 bearing the name of millions, that under 2, the name of billions, (or millions of millions); that under 3, trillions (or millions of millions of millions.)
EXAMPLE.

Note. — Billions is substituted for millions of millions; Trillions, for millions of millions of millions; Quadrillions, for millions of millions of millions of millions. Quintillions, Sextillions, Septillions, Octillions, Nonillions, Decillions, Undecillions, Duodecillions, &c answer to millions so often involved as their indices respectively denote.
The right hand figure of each half period has the place of units, of that half period; the middle one, that of tens, and the left hand one, that of hundreds.
APPLICATION. — Let the scholer now read, or write down in words at length, the following numbers : —
8  437  709.040  3.476.194  7.184.397.647 
17  3.010  879.096  84.094.007  49.163.189.186 
129  76.506  4.091.875  690.748.591  500.098.422.700 
Write down, in proper figures, the following numbers : —
Fifteen
Two hundred and seventynine
Three thousand four hundred and three
Thirtyseven thousand five hundred and sixtyseven
Four hundred one thousand and twentyeight
Nine millions seventytwo thousand and two hundred
Fiftyfive millions three hundred nine thousand and nine
Eight hundred millions three hundred fortyfour thousand and two hundred
Two thousand five hundred and fortythree millions four hundred and thirty one thousand seven hundred and two
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