### Contents

 Geometry 23 Trigonometrical Definitions 33 Examples of Theorems in Spherical 39 Arithmetic 66 Arithmetic 72 Algebra Addition 79 Division 119 Astronomy The Tides Eclipse 124
 Geography 169 Navigation 187 Middle Latitude Sailing 202 CHAP 204 Mechanics 237 Specific Gravities 245 Pneumatics 260 Architecture 276

 Astronomy 131

### Popular passages

Page 60 - A sphere is a solid bounded by a curved surface, every point of which is equally distant from a point within called the center.
Page 227 - Every body continues in a state of rest, or of uniform motion in a straight line, unless it is compelled to change that state by a force impressed upon it.
Page 228 - To every action there is always opposed an equal reaction: or, the mutual actions of two bodies upon each other are always equal and directed to contrary pans.
Page 32 - The circumference of every circle is supposed to be divided into 360 equal parts, called degrees...
Page 90 - To reduce a mixed number to an improper fraction, Multiply the whole number by the denominator of the fraction, and to the product add the numerator; under this sum write the denominator.
Page 228 - The change of motion is proportional to the motive force impressed; and is made in the direction of the right line in which that force is impressed.
Page 55 - PROBLEM I. To find the area of a parallelogram, whether it be a square, a rectangle, a rhombus, or a rhomboides.
Page 157 - It is bounded on the North by the Arctic Ocean ; on the East by the Pacific Ocean ; on the South by the Indian Ocean ; and on the West by the Red Sea, the Mediterranean Sea, the Caspian Sea, and the Oural Mountains.
Page 97 - Multiply the first and second terms together, and divide the product by the third ; the quotient will be the answer in the same denomination as the middle term was reduced into.
Page 19 - ... When a straight line standing on another straight line, makes the adjacent angles equal to one another, each of the angles is called a right angle ; and the straight line which stands on the other is called a perpendicular to it. 11. An obtuse angle is that which is greater than a right angle. 12. An acute angle is that which is less than a right angle. 13. A term or boundary is the extremity of any thing.