M. Blundevile his exercises containing sixe treatises, the titles wherof are set down in the next printed page: which treatises are verie necessarie to be read and learned of all yoong gentlemen that haue not bene exercised in such disciplines, and yet are desirous to haue knowledge as well in cosmographie, astronomie, and geographie, as also in the arte of navigation ... To the furtherance of which arte of navigation, the said M. Blundevile speciallie wrote the said treatises and of meere good will doth dedicate the same to all the young gentlemen of this realme.

Another like example of diuerse distance of time.

Thrée Marchaunts occupying together did gaine 2345. Crownes, the first put in 40. Crownes for the space of 14. Mo∣neths, the second put in 50. Crownes for the space of 8. Moneths, and the third put in 85. Crownes for the space of 6. Moneths, the question is, how much euery one shall haue after the rate of his mony, and according of the quantitie of time: This is to bée wrought according to the rule of Fellowship thus, Multiply eue∣ry mans mony by his time, either of which, that is to say, the mo∣ny and the time must be of one selfe denomination, then adde the Sommes of those seuerall portions together, and the total somme of such Addition shall be the first number, and the common gaine shall be the second number, and the third number shall bee euery mans mony Multiplyed by his time, then in working by the common rule of 3. you shall finde that euery man shall haue such share as this figure here following sheweth.

1470.—	2345.—	560.—	893. ⅓
400.—	638. 2/21.
510.—	813. 4/7
The common Di∣uisor which is the totall Somme of the seuerall porti∣ons of mony ad∣ded together.	the general Somme of the gaine.	the particular portions of the mony mul¦tiplyed by his time.	euery mans single share.

Now if you would know whether the single shares in this ex∣ample doe make vp the generall Somme of the gaine, then adde together the Integrums or whole Sommes of euery mans sin∣gle share, and you shall finde the Somme to bee but 2344. which wanteth one whole Integrum of the second or middle number of the question, which you shal easily supply by adding the 3. seueral Fractions together according to the rule of Addition of Fracti∣ons before taught, for so shall you finde the said 3. Fractions to make in all one whole Integrum, which being added to 2344. will be aunswerable to the second number of the question, which as you sée in the example is 2345. And remember in adding to∣gether the said 3. Fractions, to set them in this order ⅓ / 2/21 / 4/7. and then to bring them to one selfe denomination, as the seuenth rule of Fractions teacheth you. But first because you shal find y^e 3. re∣mainders after the first 3. Diuisor of the 3. seuerall portions, made by the first common Diuisor of the question to be written in many figures, you must set them downe in fewer figures accor∣ding as the fift rule of Fractions teacheth you, so shall you finde the first remainder containing 490/1470. to be no more but ⅓. and the second remainder containing 140/1470. to be 2/21. and the third remain∣der containing 840/1470. to be 4/7. which 3. Fractions being added to∣gether according to the seuenth rule of Fractions, wil make 441/441. which is one whole Integrum and must be added by the name of 1 to the middle or second number of the question, as I haue said be∣fore: you may also make up the foresaid number by séeking to knowe the value of euery Fraction annexed to the Integrums, according as the sixt rule of Fractions teacheth, for so shall you finde the value of the first Fraction to be fiue groats, & the value of the second Fractiō to be one groat 6. farthings, and 18/21. of a far∣thing

thing, & you shal find the value of y^e third Fraction to be 8. groats 9. farthings and ½. of a farthing, & if you adde 18/2•• & 1/7 of a farthing together, you shall find that it will make 147/147. which is one whole Integrum or one whole farthing. Now if you adde 6. 9. and 1. far∣things together, it wil make in al 16. farthings, and y^t is one groat which being added to y^e 14 groats before found out, will make in al 15. groats which is one Crowne, and y^t being added to the Somme 2344. will make it 2345. Crownes, which is a number agreea∣ble to the middle Somme of the question. Truely if you exercise your selfe in this and such like questions, it will make you perfect not onely in Addition, Subtraction, Multiplycation, and Di∣uision of whole numbers, but also of Fractions, and almost in al the other rules belonging as wel to Fractions, as to Integrums: Wherefore I would wish you often to vse your penne therein.

Hauing hitherto treated of the 4. speciall kinds of Arithme∣tike, that is of Addition, Subtraction, Multiplycation and Di∣uision, as well belonging to whole numbers, as to Fractions, and also shewed the vse of the Golden rule, otherwise called the rule of 3. and of all the thrée kindes thereof, that is the common rule, the rule Reuerse, and the Double rule, and giuen examples how and when euery one is to be vsed, together with the rule of Fellowship, necessarie for them that vse any trade of Marchan∣dize, I thinke good now to speake somewhat of Arithmeticall and Geometricall progression, and also of Proportion, and of the thrée kinds thereof, that is Arithmeticall, Geometricall, and Musi∣call proportion, and then of the extraction of rootes both square and Cubicall, and last of all, of Astronomicall Fractions, shew∣ing how they are to be added, Subtracted, Multiplyed & diuided.