Miscellanea Curiosa Mathematica: Or, The Literary Correspondence of Some Eminent Mathematicians in Great Britain & Ireland: Containing a Choice Collection of Mathematical Essays & Dissertations on what is Most Valuable & Really Useful, Not Only in Algebra, Trigonometry, the Doctrine of Chances, Astronomy, Chronology, Geometry, Gunnery, Infinite Series, Fluxions, Fluents, Exponentials, the Quadrature of Curves, &c. But Likewise a Curious Collection of 160 New Problems, with Their Solutions, in Most Branches of the Mathematics, Suited to the Capacity of Beginners, as Well as Those who Have Made Some Proficiency in Their Speculations, Zväzok 1Francis Holliday Edward Cave, at St. John's Gate, 1749 - 316 strán (strany) |
Časté výrazy a frázy
aa-xx alfo alſo angle axis bafe baſe becauſe cafe circle circumfcribing cofine confequently curve defcribed diameter diſtance dominical letter earth ellipfis epact equal equation exprefs faid fame anfwered FARRER fecond feet fegment feries fhall fides fince find the Fluent firft firſt Fluxions folar folidity folution fome fquare fuppofe furface given greateſt HAUXLEY height hence inches infcrib'd infcribed interfect JOHN TURNER Julian laſt latitude leffer length longitude meaſure meridian meridian altitude miles moon moon's motion muſt obferved orbit parabola PAUL SHARP perpendicular prefent Propofer QUESTION radius refpectively repreſent ROBERT ROBINSON ſame SAMUEL DUNN ſhall ſpace ſphere ſquare ſubſtituted ſum ſuppoſe tangent Theorem thereof theſe thoſe thro triangle uſe velocity vernal equinox whence whofe whoſe
Populárne pasáže
Strana 74 - I have mentioned mathematics as a way to settle in the mind a habit of reasoning closely and in train; not that I think it necessary that all men should be deep mathematicians, but that, having got the way of reasoning, which that study necessarily brings the mind to, they might be able to transfer it to other parts of knowledge, as they shall have occasion.
Strana 74 - Just so it is in the mind; would you have a man reason well, you must use him to it betimes, exercise his mind in observing the connection of ideas and following them in train. Nothing does this better than mathematics, which therefore I think should be taught all those who have the time and opportunity, not so much to make them mathematicians as to make them reasonable creatures...
Strana 62 - ... the angle of reflection is always equal to the angle of incidence, the image for any point can be seen only in the reflected ray prolonged.
Strana 1 - ... be always, proportional to the velocity of the motion. If the force were as the square of the velocity, all that part of the force, which was above the proportion of the velocity, would arise out of nothing.
Strana 74 - I think, ihould be taught all thofe who have the time and opportunity, not fo much to make them mathematicians, as to make them reafonable creatures ; for though we all call ourfelves fo, becaufe we are born to it if we pleafe, yet we may truly fay Nature gives us but the feeds of it ; we are born to be, if we pleafe, rational creatures, but it is ufe and exercife only that makes us fo, and we are indeed fo no farther...
Strana 97 - IN a plain triangle, the fum of any two fides is to their difference, as the tangent of half the fum of the angles at the bafe, to the tangent of half their difference. Let ABC be a...
Strana 74 - Brit. Mus.] The preface signed TF Not published. HARMONIA trigonometrica ; or, a short treatise of trigonometry ; wherein the harmony between plane and spherical trigonometry is clearly exhibited, and thereby all the difficulties and perplexities of the latter are entirely removed ; so that both are render'd equally easy, their similar cases being solved by theorems materially, and almost verbally the same. [By Henry OWEN, DD] London: M.DCC.XLVIII. Quarto.* [Bodl.] HARMONY (a) of Anglican doctrine...
Strana 74 - Reafoning, which that ftudy neceffarily brings the Mind to, they might be able to transfer it to other parts of Knowledge as they fhall have occafion. For in all forts of Reafoning, every fmgle Argument mould be managed as a Mathematical Demonftration, the Connection and dependence of Ideas...
Strana 189 - ... fine of double the latitude, or, which comes to the fame thing, as the fquare of the right fine of the latitude. And the arcs of the degrees of' latitude in the meridian, increafe nearly in the fame proportion.
Strana 2 - ... by a greater number of particles in the same time ; and again, in proportion to its velocity, it is resisted by the same particles singly with a greater force, as being to be moved out of their places with greater velocity. What I have thus demonstrated concerning any force, considered as the cause producing an effect, and concerning the time, during which the force operates, is on all hands acknowledged to be true concerning velocity. And, therefore, velocity and force, in this case, are one...