10 00 And these are the Rates for Leases of Houses of such a time to wit 1 l. a year for 21 years is worth about 7 l. 10 s. or 8 l. as men agree which is a certainty of 12 s. 9 d. or 13 s. 7 d. per Annum whereby you have a direction to accord an abate for Casualty and then use the 6 Proposition Most of the many Propositions in the Learned Doctor Wallis his Arithmetick concerning Geometrical Progression as also in Mr. Dary's sheet of Algebra may be easily resolved by help of the former Table But this I have handled in my Supplements to Accomptantship where also somewhat of Logarithm Curves derived from Mean or Continual Proportionals or Tables of Interest and serve for making the Logarithm Scales of Numbers Sines Tangents or Mercator's Meridian Line Geometrically Prop. 9. More easily As on Annuity less the Fact of ,06 into its present Worth Is to the Annuity So is an Unit To the Amount of 1 l. for the time sought If the Payments be half yearly for the Annuity in the first and third Terms take half the Annuity and for ,06 in the first Term as a Multiplier take ,02956 the half Years Interest For another Rate of Interest as 8 per Cent. take in ,08 as a Multiplier and find the time in Years and Decimals by 2. Prop. as at 6 per Cent. which divide by the fitted Number of the Rate in Prop. 3. to wit 1,32079 the Quote is the true time sought in Years and Decimals which is easily reduced into Days by the Decimal Table of Days Example 50 l. a Year at 8 per Cent. is worth 490 l. 18 s. 2½ or 490,91 the time of continuance is 20 years An Amount is proposed for 20 years to be 4,6609 what is the Rate of Interest 1. The time in which 1 l. came to so much at 6 per Cent. is 26,4158 found by the second Proposition 2. Divide 26,4158 by 20 the time proposed the Quote is 132079 years 3. 1 l. at 6 per Cent. in that time amounted to 1,08 the Ratio sought A PERPETUAL ALMANACK To find what day of the Week the first of March shall happen upon ADD to the Number 2 the Year of our Lord and the fourth part of that neglecting the odd and divide by 7 the Remainder is the day of the Week but if none remains it is Saturday for you must account from Sunday Monday c.. Example So that the First of March is the First Day that is Sunday The Number 2 The Year of our Lord 1685. 1685 The fourth Part 421 Divisor To find on what day of the Week any Day of any Month in the said Year hapneth To perform this Proposition the following Verse being in Effect a Perpetual Almanack is to be kept in Memory In this Verse are twelve Words relating to the Number of the twelve Months of the Year accounting March the First wherefore the word proper to that Month is An and so in order of the Alphabet which will never exceed Seven and the Number of the said Letter shews what day of the Month proper to the said word shall be the same day of the Week the First of March happ'ned upon as the Example above To find the Prime or Golden Number and Epact Add to the Number 1 the Year of our Lord and divide by 19 the remainder gives the Prime Multiply the Prime by 11 and divide by 30 gives the Epact A Table of Primes or Golden Numbers and Epacts for ever To find Easter for ever Substract the Epact if less than 28 or 29 from 47 if the Epact be 28 or 29 from 77 the remainder is Easter limits so the first Sunday after the remainder beginning from March is Easter Sunday To find the Age of the Moon Add to the Epact the Day of the Month and so many more as there are Months from March accounting March one the Sum if less than 30 is the Moon 's Age if more Substract 30 when 31 Days in the Month but if 30 Days or less Substract 29 the Remainder is the Moon 's Age. To find the Southing of the Moon and High Water at London-Bridge Multiply the Moon 's Age by 8 10 shews the Southing to which add 3 hours shews High-water at London-Bridge To find it another way Multiply the Moon 's Age by 4 and divide by 5 the Quotient shews it every Unit that remains is in value 12 Minutes at full Moon reject 15 from it Add to this 3 hours shews High-water at London-Bridge To find what Day of the Month the Sun enters into any Sign of the Zodiack by the following Verse Aries Taurus Gemini Cancer Leo Virgo ♈ ♉ ♊ ♋ ♌ â™ Evil attends its Object unvaâ—â—'d Vice Libra Scorpio Sagittar Capricorn Aquar Pisces ♎ ♠♠♑ â™’ ♓ Vain Villains jest into a Paradise In which are twelve Words to represent the twelve Months of the Year the first March the second April c. and over the respective Words are the Characters of the twelve Signs of the Zodiack thereby denoting that in the Month to which the Word belongs the Sun is in that Sign over head And if it be required to know the day of the Month in which the Sun enters into any of those Signs if the first Letter of the Word proper to the Month be a Consonant the Sun enters into the Sign thereto belonging on the eighth Day of the said Month as in the Word Paradise belonging to February in that Month he enters Pisces the eighth Day but if it be a Vowel as all the rest are add so many Days unto eight as the Vowel denotes now the Vowels are but five in Number To know in what Degree of the said Sign he is for any other Day If the Number of the Day of the given Month exceed the Number of that Day in which the Sun enters into any Sign Substract the lesser from the greater and the Remainder is the Degree Example On the 21 of April I would find the Sun's place by the Verse It appears the Sun enters into Taurus on the ninth of that Month which taken from 21 there remains 12 shewing that the Sun is in the 12 Degree of Taurus the second Sign 2. But if the Number of the Day of the given Month be less than the Number of that Day in which the Sun enters into the beginning of any Sign the Sun is not entred into the said Sign but is still in the Sign belonging to the former Month. In this Case Substract the given Day from the Day of his Entrance into the next Sign and again Substract the Remainder from 30 and the Remainder shews his place in the Sign of the former Month. Example Let it be required to know the Sun's place the fifth of August on the thirteenth day of the Month the Sun enters into Virgo 5 from 13 rests 8 and that taken from 30 there remains 22 shewing that the Sun is in the 22 degree of Leo the fifth Sign FINIS