A Course of Mathematics in Two Volumes for the Use of Academies as Well as Private TuitionJ. Johnson; W.J. and J. Richardson, 1807 Vol. 1 is the 6th ed. published in 1810. Vol. 2 is the 5th ed. published in 1807. The book contains three signatures of Robert Hoddle, all dated 1812 and mathematical calculations in Hoddle's hand on the front end paper and fly leaf. |
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Seite 275
... Fluxion of the said quan- tity , at that position or instant : and it is proportional to the magnitude by which the ... fluxion : and if it be a decreasing motion , the increment , so generated , will be less than the fluxion . But if ...
... Fluxion of the said quan- tity , at that position or instant : and it is proportional to the magnitude by which the ... fluxion : and if it be a decreasing motion , the increment , so generated , will be less than the fluxion . But if ...
Seite 276
... fluxion of the line or base AP ; and complete the rectangle Poqp . Then , like as p is the fluxion of the line AP , so is Pq the fluxion of the flowing parallelogram AQ ; both these fluxions , or incre- ments , being uniformly described ...
... fluxion of the line or base AP ; and complete the rectangle Poqp . Then , like as p is the fluxion of the line AP , so is Pq the fluxion of the flowing parallelogram AQ ; both these fluxions , or incre- ments , being uniformly described ...
Seite 277
... fluxion of which is pp or or ; the line or fluent PQ , the fluxion of which is rq ; the curve or oblique line AQ , described by the oblique motion of the point 2 , the fluxion of which is oq ; and lastly , the surface APQ , described by ...
... fluxion of which is pp or or ; the line or fluent PQ , the fluxion of which is rq ; the curve or oblique line AQ , described by the oblique motion of the point 2 , the fluxion of which is oq ; and lastly , the surface APQ , described by ...
Seite 278
... fluxion oq :: 1 : n , the same as the fluent AP : fluent BQ :: 1 : n ; or , the fluxions and fluents are in the same ... fluxion of a quantity denoted by a single letter , is represented by the same letter with a point over it : Thus ...
... fluxion oq :: 1 : n , the same as the fluent AP : fluent BQ :: 1 : n ; or , the fluxions and fluents are in the same ... fluxion of a quantity denoted by a single letter , is represented by the same letter with a point over it : Thus ...
Seite 279
... fluxion of the line AP , ax = Paqp the fluxion of ABQP in art . 6 , Porp the fluxion of APQ in art . 8 , yx ż = ax Qq = ( √ / x * + j ) the fluxion of AQ ; and Pr the fluxion of the solid in art . 7 , if a denote the constant ...
... fluxion of the line AP , ax = Paqp the fluxion of ABQP in art . 6 , Porp the fluxion of APQ in art . 8 , yx ż = ax Qq = ( √ / x * + j ) the fluxion of AQ ; and Pr the fluxion of the solid in art . 7 , if a denote the constant ...
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A Course of Mathematics, Vol. 2 of 2: For the Use of Academies, as Well as ... Charles Hutton Keine Leseprobe verfügbar - 2017 |
A Course of Mathematics, Vol. 2 of 2: For the Use of Academies, as Well as ... Charles Hutton Keine Leseprobe verfügbar - 2018 |
A Course of Mathematics, Vol. 1 Of 2: For the Use of Academies, As Well As ... Charles Hutton Keine Leseprobe verfügbar - 2017 |
Häufige Begriffe und Wortgruppen
absciss altitude angle axis ball base body breadth CA² CD² centre of gravity circle circular segment circumference column cone consequently Corol Cosine Sine Cotan Cotang cubic cubic foot curve cycloid cylinder DE² denote density descending diameter direction distance divided draw drawn ellipse equal equation equilibrio EXAM feet figure find the area find the fluent fluid foot force frustum half Hence hyperbola inches inclined plane length lever measure motion moving multiply nearly ordinate parabola parallel parallelogram pendulum perp perpendicular pressure PROBLEM prop proportional PROPOSITION quantity QUEST quicksilver radius ratio rectangle resistance SCHOLIUM secant side Sine Cosine Tang solid space specific gravity square supposed surface tangent theor THEOREM theref trapezium triangle variable velocity vibration weight whole yards
Beliebte Passagen
Seite 62 - All the interior angles of any rectilineal figure, together with four right angles, are equal to twice as many right angles as the figure has sides.
Seite 1 - The Circumference of every circle is supposed to be divided into 360 equal parts, called Degrees ; and each degree into 60 Minutes, each minute into 60 Seconds, and so on. Hence a semicircle contains 180 degrees, and a quadrant 90 degrees. 58. The Measure of an angle is an arc of any circle contained between the two lines which form that angle, the angular point being the centre ; and it is estimated by the number of degrees contained in that arc.
Seite 173 - MECHANICAL POWERS are certain simple instruments employed in raising greater weights, or overcoming greater resistance than could be effected by the direct application of natural strength. They are usually accounted six in number; viz. the Lever, the Wheel and Axle, the Pulley, the Inclined Plane, the Wedge, and the Screw.
Seite 44 - How many cubic feet in a block of marble, of which the length is 3 feet 2 inches, breadth 2 feet 8 inches, and height or thickness 2 feet 6 inches ? Ans.
Seite 86 - WORK. — Glaziers take their dimensions either in feet, inches, and parts ; or feet, tenths, and hundredths. And they compute their work in square feet. In taking the length and breadth of a window, the cross bars between the squares are included. Also, windows of round or oval forms are measured as square, measuring them to their greatest length and breadth, on account of the waste in cutting the glass.
Seite 199 - BPC) ; or, the pressure of a fluid on any surface is equal to the weight of a column of the fluid...
Seite 213 - In turning a one-horse chaise within a ring of a certain diameter, it was observed that the outer wheel made two turns, while the inner made but one : the wheels were both 4 feet high •, and supposing them fixed at the distance of 5 feet asunder on the axletree, what was the circumference of the track described by the outer wheel ? Ans. 62-33 feet. QUEST. 12. What is the side of that equilateral triangle, whose area cost as much paving at 8d.
Seite 221 - Then say, As the weight lost in water, Is to the whole weight, So is the specific gravity of water, To the specific gravity of the body.
Seite 298 - ... and the relation between these three quantities being universally expressed by this equation m = qf, it follows that, by means of it, any one of the three may be expelled out of the calculation, or else brought into it. Also, the momentum, or quantity of motion in a moving body, is qv, the product of the velocity and matter. It is also to be observed, that the theorems equally hold good for the destruction of motion and velocity, by means of retarding forces, as for the generation of the same,...
Seite 173 - A LEVER is any inflexible rod, bar, or beam, which, serves to raise weights, while it is supported at a point by a fulcrum or prop, which is the centre of motion. The lever is supposed to be void of gravity or weight, to render the demonstrations easier and simpler.