The Young Mathematician's Guide: Being a Plain and Easy Introduction to the Mathematicks ... With an Appendix of Practical Gauging |
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... was composed for his Ufe ; by his real Well - wisher , London , October 10th , 1706 . Corrected , & . at Chester , January 20th , 1722 . J. WAR D. THE THE CONTENTS . Arithmetick . Part I. PRecognita , Concerning The PREFACE .
... was composed for his Ufe ; by his real Well - wisher , London , October 10th , 1706 . Corrected , & . at Chester , January 20th , 1722 . J. WAR D. THE THE CONTENTS . Arithmetick . Part I. PRecognita , Concerning The PREFACE .
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... CONTENTS . Arithmetick . Part I. PRecognita , Concerning the proper Subjects , or Business of Ma- 3 57 thematicks , & c . Page 1 Chap . I. Concerning the feveral Parts of Arithmetick , and of fuch Characters as are used in this Treatife ...
... CONTENTS . Arithmetick . Part I. PRecognita , Concerning the proper Subjects , or Business of Ma- 3 57 thematicks , & c . Page 1 Chap . I. Concerning the feveral Parts of Arithmetick , and of fuch Characters as are used in this Treatife ...
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... Contents of Circular and Elliptical Fi gures , & c . An Appendix of Practical Gauging . 397 Wherein all the chief Rules and Problems useful in Gauging , are applied to Practice , & c . 433 AN AN INTRODUCTION TO THE ... CONTENT S.
... Contents of Circular and Elliptical Fi gures , & c . An Appendix of Practical Gauging . 397 Wherein all the chief Rules and Problems useful in Gauging , are applied to Practice , & c . 433 AN AN INTRODUCTION TO THE ... CONTENT S.
Page 35
... Content of 231 Cubick Inches to be the Wine Gallon , and that all Computa- tions in Gauging fhould be made from thence , as above . The Beer or Ale Gallon ( which are both one ) is much larger than the Wine Gallon ; it being ( as I ...
... Content of 231 Cubick Inches to be the Wine Gallon , and that all Computa- tions in Gauging fhould be made from thence , as above . The Beer or Ale Gallon ( which are both one ) is much larger than the Wine Gallon ; it being ( as I ...
Page 36
... Content of a Corn Gallon : Altho ' now it is other wife ettled by an Act of Parliament made in April 1697 , the Words of that A & t are these : Every round Bufhel with a plain and even Bottom , being made eighteen Inches and a half wide ...
... Content of a Corn Gallon : Altho ' now it is other wife ettled by an Act of Parliament made in April 1697 , the Words of that A & t are these : Every round Bufhel with a plain and even Bottom , being made eighteen Inches and a half wide ...
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Common terms and phrases
alfo Amount Angles Anſwer Arch Area Arithmetick Bafe becauſe Cafe call'd Cathetus Circle Circle's Confequently Cube Cubick Inches Cyphers Decimal defcribe Demonftration Denomination Diameter Difference divided Dividend Divifion Divifor eafily eafy eaſy Ellipfis equal Equation Example Extreams faid fame fecond feven feveral fhall fhew fingle firft firft Term firſt fome Fractions Fruftum ftand fubtract fuch Gallons Geometrical given hath Height Hence Hyperbola infinite Series Intereft juft laft Latus Rectum leffer lefs Lemma Logarithm Meaſure muft multiply muſt Number of Terms Parabola Parallelogram Periphery Perpendicular Places of Figures plain Point Pound Product Progreffion propofed Proportion Quantities Queft Queſtion Radius Reafon Refolvend reft Right Line Right-angled Right-line Root Rule Sect Segment Series Side Sine Square Suppofe Surd Tangent thefe Theorem theſe thofe thoſe Tranfverfe Triangle Troy Weight ufually Uncia uſeful Vulgar Fractions whofe whole Numbers
Popular passages
Page 467 - The circumference of every circle is supposed to be divided into 360 equal parts, called degrees ; and each degree into 60 equal parts, called minutes ; and each minute into 60 equal parts, called seconds ; and these into thirds, &c.
Page 217 - Man playing at hazard won at the first throw as much money as he had in his pocket ; at the second throw he won 5 shillings more than the square root of what he then had ; at the third throw he won the square of all he then had ; and then he had ill 2. 16«.
Page 471 - C' (89) (90) (91) (92) (93) 112. In any plane triangle, the sum of any two sides is to their difference as the tangent of half the sum of the opposite angles is to the tangent of half their difference.
Page 138 - If equal quantities be added to equal quantities, the fums will be equal. 2. If equal quantities be taken from equal quantities, the remainders will be equal. 3. If equal quantities be multiplied by equal quantities, the produits will be equal.
Page 106 - The particular Rates of all the Ingredients propofed to be mixed, the Mean Rate of the whole Mixture, and any one of the Quantities to be mixed being given: Thence to find how much of every one of the other Ingredients is requifite to compofe the Mixture.
Page 90 - If 2 men can do 12 rods of ditching in 6 days ; how many rods may be done by 8 men in 24 days ? Ans.
Page 23 - The original of all weights, used in England, was a grain or corn of wheat, gathered out of the middle of the ear ; and being well dried, 32 of them were to make one pennyweight, 20 pennyweights one ounce, and 12 ounces one pound. But, in later times, it was thought sufficient to divide the same pennyweight into 24 equal parts, still called grains, being the least weight now in common use; and from hence the rest are computed.
Page 470 - In any triangle, the sides are proportional to the sines of the opposite angles, ie. t abc sin A sin B sin C...
Page 180 - When any number of quantities are proportionals, as one antecedent is to its consequent, so is the sum of all the antecedents to the sum of all the consequents.
Page 471 - FG 5 that is in Words, half the Sum of the Legs, Is to half their Difference, As the Tangent of half the Sum of the oppofite Angles, Is to the Tangent of half their Difference : But Wholes are as their Halves ; wherefore the Sum of the Legs, Is...