A Course of Mathematics in Two Volumes for the Use of Academies as Well as Private TuitionJ. Johnson; W.J. and J. Richardson, 1807 - Mathematics 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. |
From inside the book
Results 6-10 of 100
Page 36
... length of the arc * . Ex . 1. To find the length of an arc of 30 degrees , the radius being 9 feet . Ans . 4.7115 . Ex . 2. To find the length of an arc of 12 ° 10 ' , or 12 ° , the radius being 10 feet . PROBLEM IX . To find the Area ...
... length of the arc * . Ex . 1. To find the length of an arc of 30 degrees , the radius being 9 feet . Ans . 4.7115 . Ex . 2. To find the length of an arc of 12 ° 10 ' , or 12 ° , the radius being 10 feet . PROBLEM IX . To find the Area ...
Page 38
... length of the arc , or to the degrees contained in it . Ex . 1. To find the area of a circular sector , whose arc contains 18 degrees ; the diameter being 3 feet ? 1. By the 1st Rule . First , 3 : 1416 × 3 = 9.4248 , the circumference ...
... length of the arc , or to the degrees contained in it . Ex . 1. To find the area of a circular sector , whose arc contains 18 degrees ; the diameter being 3 feet ? 1. By the 1st Rule . First , 3 : 1416 × 3 = 9.4248 , the circumference ...
Page 41
... length ; which will give the whole area , not far from the truth . Ex . 1. The breadths of an irregular figure , at five equi- distant places , being 8 · 2 , 7 · 4 , 9.2 , 10 · 2 , 8'6 ; and the whole length 39 ; required the area ? 8.2 ...
... length ; which will give the whole area , not far from the truth . Ex . 1. The breadths of an irregular figure , at five equi- distant places , being 8 · 2 , 7 · 4 , 9.2 , 10 · 2 , 8'6 ; and the whole length 39 ; required the area ? 8.2 ...
Page 44
... length or height of the solid , and the product will be the surface of all its sides . To which add also the area of ... length of each side being 20 feet . Ans . 2400 feet . Ex . 2. To find the whole surface of a triangular prism ...
... length or height of the solid , and the product will be the surface of all its sides . To which add also the area of ... length of each side being 20 feet . Ans . 2400 feet . Ex . 2. To find the whole surface of a triangular prism ...
Page 45
... length of the side , and half the product will evidently be the surface of the sides , or the sum of the areas of all the triangles which form it . To which add the area of the end or base , if requisite . Ex . 1. What is the upright ...
... length of the side , and half the product will evidently be the surface of the sides , or the sum of the areas of all the triangles which form it . To which add the area of the end or base , if requisite . Ex . 1. What is the upright ...
Other editions - View all
A Course of Mathematics, Vol. 2 of 2: For the Use of Academies, as Well as ... Charles Hutton No preview available - 2017 |
A Course of Mathematics, Vol. 2 of 2: For the Use of Academies, as Well as ... Charles Hutton No preview available - 2018 |
A Course of Mathematics, Vol. 1 Of 2: For the Use of Academies, As Well As ... Charles Hutton No preview available - 2017 |
Common terms and phrases
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
Popular passages
Page 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.
Page 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.
Page 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.
Page 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.
Page 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.
Page 199 - BPC) ; or, the pressure of a fluid on any surface is equal to the weight of a column of the fluid...
Page 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.
Page 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.
Page 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,...
Page 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.