The Young Mathematician's Guide: Being a Plain and Easie Introduction to the Mathematicks |
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Page 35
... several Reafons , it was at that time thought convenient to continue the former fuppofed 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 ...
... several Reafons , it was at that time thought convenient to continue the former fuppofed 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 ...
Page 84
... several indeed very ftrange Questions . Examples . pretty , and Six Gentlemen that were Travelling met together by Chance at a certain Inn upon the Road , where they were fo pleased with their Hoft , and each others Company , that in a ...
... several indeed very ftrange Questions . Examples . pretty , and Six Gentlemen that were Travelling met together by Chance at a certain Inn upon the Road , where they were fo pleased with their Hoft , and each others Company , that in a ...
Page 159
... several Powers of the Firft or Leading Letter only ( as a ) the true Uncin's of every Term may be easily found . Examples . Let it be required to compleat all the Terms of the aforefaid feveral Powers , viz . a2 + ab + ab + a1b3 + a3b1 ...
... several Powers of the Firft or Leading Letter only ( as a ) the true Uncin's of every Term may be easily found . Examples . Let it be required to compleat all the Terms of the aforefaid feveral Powers , viz . a2 + ab + ab + a1b3 + a3b1 ...
Page 176
... Several Queftions ; wherein there is great Variety . Having got fo Clear an Understanding of the Queftion proposed , as to place down all the Quantities concerned in their due Order , vix . all the Subftituted Letters , in fuch Order as ...
... Several Queftions ; wherein there is great Variety . Having got fo Clear an Understanding of the Queftion proposed , as to place down all the Quantities concerned in their due Order , vix . all the Subftituted Letters , in fuch Order as ...
Page 222
... more Places , which would have brought it nearer the Truth , tho not perhaps exactly ( o . Sect . 5. Chap . 5. Part 1 . Queftion Question 29.Several Merchants enter into Partnership , every one put 222 Part II . algebra .
... more Places , which would have brought it nearer the Truth , tho not perhaps exactly ( o . Sect . 5. Chap . 5. Part 1 . Queftion Question 29.Several Merchants enter into Partnership , every one put 222 Part II . algebra .
Common terms and phrases
alfo Amount Anfwer Arch Area Arithmetick Bafe becauſe Cafe call'd Cathetus Chap Circle Circle's Compound Intereft Confequently Cube Cube Root Cyphers Decimal Defcribe Demonftration Denomination Difference Divided Dividend Divifion Divifor Dollers Ducats eafie eafily Ellipfis Equal Equation Euclid Example Extreams faid fame feveral fhall fhew Firft Firſt fome Fractions ftand fuch Gallon Geometrical given hath Hence Hyperbola juft Laft Laft Term Latus Rectum Learner Lefs Meaſure muft Multiplicand Multiply muſt Number of Terms obferve Operation Parabola Parallelogram perform'd Periphery Perpendicular Point Pound Power Product Progreffion propofed Proportion Quantities Queft Quere Question Quotient Figure Radius Rate Reafon Refolvend refpective reft reprefent requir'd Right Angles Right Line Right-line Root Rule Second Sect Segment Series Shillings Sides Square ſtand Subftract Suppofe Surd thefe Theorem theſe Third thofe thoſe Troy Weight Uncia's uſed Vulgar Fractions whofe whole Numbers
Popular passages
Page 166 - Multiply the numerators together for a new numerator, and the denominators together for a new denominator.
Page 307 - The conviction of a truth may be irresistible, and yet not immediate. Thus, my conviction that the three angles of every plain triangle are equal to two right angles, is irresistible, but it is not immediate ; I am convinced of it by demonstrative reasoning. There are other truths in mathematics of which we have not only an irresistible but an immediate conviction. Such are the axioms. Our belief of the axioms in mathematics is not grounded upon argument — arguments...
Page 98 - 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 48 - FRACTIONS, or broken numbers, are expressions for any assignable parts of an unit ; and are represented by two numbers, placed one above the other, with a line drawn between them. The number above the line is called the numerator, and that below the line the denominator.
Page 81 - Year, and fo on from Year to Year until the End of the Time, allowing the Increafc to be but in a ten-fold Proportion. It is required to find the Sum of the whole Produce.
Page 252 - Penfions, &c. are faid to be in Arrears, •** when they are payable or due, either Yearly, or Half-yearly) &c.
Page 114 - 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. Note, This is ufually called Alligation Partial.
Page 284 - tis 5 to 4, that one of 26 years old will die before one of 16 ; and 6 to 5 that one of 36 will die before one of 26 ; and 3 to 2, that the same person of 36 shall die before him of 16 : And so forward according to the Roots...
Page 82 - The method of finding out the number of changes, is by a continual multiplication of all the terms in a series of arithmetical...