The Young Mathematician's Guide: Being a Plain and Easy Introduction to the Mathematicks ... With an Appendix of Practical GaugingS. Birt, 1747 - 480 σελίδες |
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Σελίδα
... Circle's Periphery and Area to any affigned Exactness , by one Equation only : Alfo a New Way of making Sines and Tangents . IV . Cortick Sections , wherein the chief Properties , & c . of the Ellipfis , Parabola , and Hyperbola , are ...
... Circle's Periphery and Area to any affigned Exactness , by one Equation only : Alfo a New Way of making Sines and Tangents . IV . Cortick Sections , wherein the chief Properties , & c . of the Ellipfis , Parabola , and Hyperbola , are ...
Σελίδα
... Circle's Pe- riphery , and Area , to any affigned Exactness ; by the Solution of one Equation only . Also a New Way of making Natural Sines and Tangents à priore . Conick Sections . Part IV . 347 Chap . I. Definition of a Cone , and all ...
... Circle's Pe- riphery , and Area , to any affigned Exactness ; by the Solution of one Equation only . Also a New Way of making Natural Sines and Tangents à priore . Conick Sections . Part IV . 347 Chap . I. Definition of a Cone , and all ...
Σελίδα 33
... Circle upon the Surface of the Earth . So that one Degree is 69 Miles and 288 Yards , which is very near to our Country - man Mr Norwood's Experiment made betwixt London and York , Anno 1635 ; who found that 367196 Fut 69 Miles , and ...
... Circle upon the Surface of the Earth . So that one Degree is 69 Miles and 288 Yards , which is very near to our Country - man Mr Norwood's Experiment made betwixt London and York , Anno 1635 ; who found that 367196 Fut 69 Miles , and ...
Σελίδα 37
... Circle in the Heavens ) to the fame Point again , which , according to modern Obfervations , is performed in 365 Days , 5 Hours , 48 Minutes , 57 Seconds , 21 Thirds , & c . But a Second being the least part of Time that can be truly ...
... Circle in the Heavens ) to the fame Point again , which , according to modern Obfervations , is performed in 365 Days , 5 Hours , 48 Minutes , 57 Seconds , 21 Thirds , & c . But a Second being the least part of Time that can be truly ...
Σελίδα 226
... Circle move , before the fame two Points meet that were together when they began to move ? In order to give a ready Solution to this Question ( or any other in this Kind ) it will be convenient to premife this Lemma . LEMM A. The Sum of ...
... Circle move , before the fame two Points meet that were together when they began to move ? In order to give a ready Solution to this Question ( or any other in this Kind ) it will be convenient to premife this Lemma . LEMM A. The Sum of ...
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Συχνά εμφανιζόμενοι όροι και φράσεις
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
Δημοφιλή αποσπάσματα
Σελίδα 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.
Σελίδα 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«.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 470 - In any triangle, the sides are proportional to the sines of the opposite angles, ie. t abc sin A sin B sin C...
Σελίδα 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.
Σελίδα 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...