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 1-5 of 63
Page 5
... EXAM . 1. If it be required to find the sine and cosine of one minute . Then , the number of minutes in 180 ° being 10800 , it will be first , as 10800 : 1 :: 3.14159265 & c : * 000290888208665 = the length of an arc of one minute ...
... EXAM . 1. If it be required to find the sine and cosine of one minute . Then , the number of minutes in 180 ° being 10800 , it will be first , as 10800 : 1 :: 3.14159265 & c : * 000290888208665 = the length of an arc of one minute ...
Page 20
... EXAM . VI . From the edge of a ditch , of 36 feet wide , surrounding a fort , having taken the angle of elevation of the top of the wall , it was found to be 62 ° 40 ... EXAM . XII . What is the perpendicular height of EXAM . 22 OF HEIGHTS.
... EXAM . VI . From the edge of a ditch , of 36 feet wide , surrounding a fort , having taken the angle of elevation of the top of the wall , it was found to be 62 ° 40 ... EXAM . XII . What is the perpendicular height of EXAM . 22 OF HEIGHTS.
Page 21
Charles Hutton. EXAM . XII . What is the perpendicular height of a hill ; its angle of elevation , taken at the bottom of it , being 46 ° , and 200 yards farther off , on a level with the bottom , the angle was 31 ° ? Ans . 286 28 yards .
Charles Hutton. EXAM . XII . What is the perpendicular height of a hill ; its angle of elevation , taken at the bottom of it , being 46 ° , and 200 yards farther off , on a level with the bottom , the angle was 31 ° ? Ans . 286 28 yards .
Page 22
... EXAM . XVIII . Two ships of war , intending to cannonade a fort , are , by the shallowness of the water , kept so far from it , that they suspect their guns cannot reach it with effect . In order therefore to measure the distance , they ...
... EXAM . XVIII . Two ships of war , intending to cannonade a fort , are , by the shallowness of the water , kept so far from it , that they suspect their guns cannot reach it with effect . In order therefore to measure the distance , they ...
Page 23
... EXAM . XXIII . Wanting to know the distance between a house and a mill , which were seen at a distance on the other side of a river , I measured a base line along the side where I was , of 600 yards , and at each end of it took the ...
... EXAM . XXIII . Wanting to know the distance between a house and a mill , which were seen at a distance on the other side of a river , I measured a base line along the side where I was , of 600 yards , and at each end of it took the ...
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 CAČ CDČ centre of gravity circle circular segment circumference column cone consequently Corol Cosine Sine Cotan Cotang cubic cubic foot curve cycloid cylinder DEČ 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.