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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Σελίδα 34
... expression becomes DB2 = 2 + DC , and hence the root DB √2 + DC . That is . If the measure of the supplemental chord of any arc be in- creased by the number 2 , the square root of the sum will be the supplemental chord of half that arc ...
... expression becomes DB2 = 2 + DC , and hence the root DB √2 + DC . That is . If the measure of the supplemental chord of any arc be in- creased by the number 2 , the square root of the sum will be the supplemental chord of half that arc ...
Σελίδα 48
... expression for the content of the frustum , gives that con- ah tentu x LA a b - bh -162 × == a- - a3 -b3 · a - ab + b2 ) ; which is the rule above given ; ab being the mean be- tween a2 and 6o . Ex . 3. To find the content of a conic Ex ...
... expression for the content of the frustum , gives that con- ah tentu x LA a b - bh -162 × == a- - a3 -b3 · a - ab + b2 ) ; which is the rule above given ; ab being the mean be- tween a2 and 6o . Ex . 3. To find the content of a conic Ex ...
Σελίδα 127
... expression above becomes barely žn.n. 2n = n3 . To apply this to the case above : n will denote AD or BC ; and the sum of all the Ar's becomes AD3 or BC3 ; conse- DC DC quently the sum of all the × AI's , is × AD3 = AD2 AD2 AD . DC = BD ...
... expression above becomes barely žn.n. 2n = n3 . To apply this to the case above : n will denote AD or BC ; and the sum of all the Ar's becomes AD3 or BC3 ; conse- DC DC quently the sum of all the × AI's , is × AD3 = AD2 AD2 AD . DC = BD ...
Σελίδα 138
... expression composition of forces . 40. Exam . Suppose it were required to compound the three forces AB , AC , AD ; or to find the direction and quantity of one single force , which shall be equi- E valent to , and have the same effect ...
... expression composition of forces . 40. Exam . Suppose it were required to compound the three forces AB , AC , AD ; or to find the direction and quantity of one single force , which shall be equi- E valent to , and have the same effect ...
Σελίδα 206
... expression as that for the distance of the centre of percussion , found in prop . 47 . Hence it appears , that the centres of percussion and of oscilliation , are in the very same point . And therefore the properties in all the ...
... expression as that for the distance of the centre of percussion , found in prop . 47 . Hence it appears , that the centres of percussion and of oscilliation , are in the very same point . And therefore the properties in all the ...
Άλλες εκδόσεις - Προβολή όλων
A Course of Mathematics, Vol. 2 of 2: For the Use of Academies, as Well as ... Charles Hutton Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2017 |
A Course of Mathematics, Vol. 2 of 2: For the Use of Academies, as Well as ... Charles Hutton Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2018 |
A Course of Mathematics, Vol. 1 Of 2: For the Use of Academies, As Well As ... Charles Hutton Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2017 |
Συχνά εμφανιζόμενοι όροι και φράσεις
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
Δημοφιλή αποσπάσματα
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 199 - BPC) ; or, the pressure of a fluid on any surface is equal to the weight of a column of the fluid...
Σελίδα 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.
Σελίδα 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.
Σελίδα 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,...
Σελίδα 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.