... ... ... Page. 48 49 51 ... 53 54 How do you find the area of a trapezoid? ... What is the first rule for finding the length of Repeat the third rule How do you find the area of a circle? ... ... ... ... ... How do you find the area of a sector or circle ... 72 PART III. LAND-SURVEYING. With what is land commonly measured? What length is a chain, and a link What is a statute pole or perch? ... Page. 81 81 81 81 85 Which is the best method of keeping the field- ... ཚཚ ཚཚ 91 How would you measure a trapezium, when two perpendiculars cannot be taken upon either of the diagonals? How do unskilful surveyors sometimes mea- How do you measure a field of more than four sides? Explain the method of measuring a line upon which there is an impediment How do you erect a perpendicular in the field, by the chain only? ... How do you part any proposed quantity of land How do you divide a trapezium, or any irregular polygon, among any number of persons? 119 Repeat the rules for reducing statute-measure to customary; and vice versa. Explain the first method of surveying estates or lordships ... Explain the second method Explain the third method Page. ... 120 ... 122 125 PART IV. SECTION I. DEFINITIONS. What is a solid ? What is the measurement of a solid called? By what are the contents of solids estimated? What is a prism? What different names have prisms ? What is a cylinder,-a pyramid ? What is a cone,—the frustum of a pyramid or 140 PROBLEMS. How do you find the solidity of a cube,-its surface? 144 When the solidity of a cube is given, how do How do you find the solidity of a parallelopipe- 144 ... 145 By what rule do you determine the solidity of a cylinder,-its surface? ... What is the rule for finding the solidity of a pyramid,—its surface? ... Repeat the general rule for finding the solidity of the frustum of a pyramid Repeat the second rule ... What is the rule for finding the surface of the frustum of a pyramid? Repeat the rule for finding the solidity of a cone, -its surface ... Repeat the first rule for finding the solidity of the frustum of a cone Repeat the second rule How do you find the surface of the frustum of ... ... a cone? How may the solidity of a cuneus or wedge be found,-its surface? What is the rule for finding the solidity of a prismoid,-its surface? 155 155 Repeat the rule for finding the solidity of a ... What is the rule for finding the convex surface sphere or globe Repeat the first rule for finding the solidity of the segment of a globe Repeat the second rule ... How do you find the surface of the segment of a sphere? What is the rule for finding the solidity of the frustum or zone of a sphere? How do you find the convex surface of a zone How do you find the solidity of the middle frustum of a circular spindle? What is the rule for finding the solidity of a cylindrical ring,-its surface? What is the rule for finding the solidity or superficies of any regular body? Repeat the fourth rule How do you find the solidity of a body from its weight? 172 How do you find the weight of a body from its solidity? THE USE OF THE SLIDING RULE. How do you perform multiplication by the sliding rule, Division? - ... ... 177 How do you square any number by the sliding rule, extract the square root,-find a mean proportional between two numbers? ... ... ... 178 ... 179 How do you perform the rule of three by the 180 How do you find the diameter and circumference of a circle, the one from the other? How do you find the area of a circle? What is the rule for finding the solidity of a cube by the sliding rule,-of a parallelopipedon, 180 of a prism or cylinder,—of a cone or pyramid? 180 |