The Young Mathematician's Guide: Being a Plain and Easie Introduction to the Mathematicks |
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Page 286
... Radius's ; for it's plain by the laft Definition , that one and the fame Radius ( as C B ) must needs Defcribe Equal Circles , how many foe- ver they are . 4. The Diameter of a Circle , is Toice its Radius join'd into one Right Line ...
... Radius's ; for it's plain by the laft Definition , that one and the fame Radius ( as C B ) must needs Defcribe Equal Circles , how many foe- ver they are . 4. The Diameter of a Circle , is Toice its Radius join'd into one Right Line ...
Page 287
... Radius ( as DC ftanding Perpendicular up- on the Diameter at the Center C , cutting the Periphery of the Semicircle ... Radius's of the Circle , and that Arch of its Periphery where they Touch , as the Figure ACB , And the Arch AB is the ...
... Radius ( as DC ftanding Perpendicular up- on the Diameter at the Center C , cutting the Periphery of the Semicircle ... Radius's of the Circle , and that Arch of its Periphery where they Touch , as the Figure ACB , And the Arch AB is the ...
Page 292
... Radius , and with it Defcribe a Circle ; From its Center C fet Off the other Line AC , and joyn ACB with a Right - line . Then will AB AC CB ; and = + AD AC - CB ; As was re- quried . ........ ་་་ C B B ་་་ ་་་ PRO PROBLEM II . To ...
... Radius , and with it Defcribe a Circle ; From its Center C fet Off the other Line AC , and joyn ACB with a Right - line . Then will AB AC CB ; and = + AD AC - CB ; As was re- quried . ........ ་་་ C B B ་་་ ་་་ PRO PROBLEM II . To ...
Page 293
... Radius Greater than Half its Length , defcribe Two Arches , that may Crofs each other in Two Points , as at D , and F ; Then joyz thofe Points D , F with a Right - line ; And it will Bifect the A Line A B in the Middle at C ; viz . it ...
... Radius Greater than Half its Length , defcribe Two Arches , that may Crofs each other in Two Points , as at D , and F ; Then joyz thofe Points D , F with a Right - line ; And it will Bifect the A Line A B in the Middle at C ; viz . it ...
Page 294
... Radius , and with it upon the Point C , defcribe a Semi- circle , as HMx N. Then make A H the Arch H M equal to the C D B N Arch x N ; through the Points M and x draw the Right - line FD , and it will be Parallel to the Line AC , As was ...
... Radius , and with it upon the Point C , defcribe a Semi- circle , as HMx N. Then make A H the Arch H M equal to the C D B N Arch x N ; through the Points M and x draw the Right - line FD , and it will be Parallel to the Line AC , As was ...
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...