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How do you find the area of a trapezoid?
How do you find the area of an irregular polygon?
If the side of a regular polygon be given, how
do you find the radius of its inscribed or cir-
cumscribing circle?
How do you find the area of a regular polygon?
How do you find the area of a regular polygon,
when the side only is given?
Repeat the first rule for finding the circumfer-
ence of a circle from the diameter, or the
diameter from the circumference.-Repeat the
second rule. Repeat the third rule

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What is the first rule for finding the length of
any arc of a circle?
Repeat the second rule

Repeat the third rule

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How do you find the area of a circle?

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How do you find the area of a sector or circle ...
Repeat the first rule for finding the area of the
segment of a circle-
Repeat the second rule.-Repeat the third rule.
Explain the rule for finding the area of a circu-
lar zone
How do you find the area of a circular ring?
How do you find the area of a lune
How do you find the area of an ellipse?
How do you find the area of an elliptical ring?
Repeat the rule for finding the area of an ellipti-
cal segment
Explain the rule for finding the area of any cur-
vilineal figure, by means of equidistant ordi-

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PART III.

LAND-SURVEYING.

With what is land commonly measured?

What length is a chain, and a link

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What is a statute pole or perch?

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Which is the best method of keeping the field-
book?
How do you measure a field of three sides?
How do you measure a field of four sides?
How must you proceed, when neither of the
diagonals can be measured, in consequence of
obstructions?

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How would you measure a trapezium, when two perpendiculars cannot be taken upon either of the diagonals?

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How do unskilful surveyors sometimes mea-
sure trapeziums?
In what manner do you proceed in order to find
the area of a field whose sides are crooked, by
the method called "casting ?"

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How do you measure a field of more than four sides?
How do you measure an irregular narrow piece
of land?
How should paring and reaping be measured?
How do you measure a mere or wood?
How do you measure roads, rivers, or canals?
Explain the method of finding the breadth of a
river, without crossing it
How do you measure the distance of an inacces-
sible object?

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Explain the method of measuring a line upon which there is an impediment

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How do you erect a perpendicular in the field, by the chain only?

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How do you part any proposed quantity of land
from a rectangle, by a line parallel to one of
its sides
Explain the method of parting land from a tra-
pezium, or any irregular polygon ...

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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.

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Explain the first method of surveying estates or lordships

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Explain the second method

Explain the third method
Explain the fourth method

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PART IV. SECTION I.
MENSURATION OF SOLIDS.

DEFINITIONS.

What is a solid ?

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What is the measurement of a solid called?

By what are the contents of solids estimated?
What is a cube,-a parallelopipedon?

What is a prism?

What different names have prisms ?

What is a cylinder,-a pyramid ?

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What is a cone,—the frustum of a pyramid or
cone, a wedge,-a prismoid,-a sphere or
globe?
What is the segment of a sphere,-the zone of
a sphere, a circular spindle,-a cylindrical
ring, a regular body?
How many regular bodies are there; and what
are their names?

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PROBLEMS.

How do you find the solidity of a cube,-its surface? 144 When the solidity of a cube is given, how do

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How do you find the solidity of a parallelopipe-
don,-its surface?
How do you find the solidity of a prism,-its
surface?

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By what rule do you determine the solidity of a cylinder,-its surface?

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What is the rule for finding the solidity of

a pyramid,—its surface?

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Repeat the general rule for finding the solidity of the frustum of a pyramid

Repeat the second rule

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What is the rule for finding the surface of the frustum of a pyramid?

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Repeat the rule for finding the solidity of a cone, -its surface

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Repeat the first rule for finding the solidity of

the frustum of a cone

Repeat the second rule

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How do you find the surface of the frustum of

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a cone? How may the solidity of a cuneus or wedge be

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found,-its surface? What is the rule for finding the solidity of a prismoid,-its surface?

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Repeat the rule for finding the solidity of a

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What is the rule for finding the convex surface

sphere or globe

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Repeat the first rule for finding the solidity of

the segment of a globe

Repeat the second rule

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How do you find the surface of the segment of

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a sphere? What is the rule for finding the solidity of the frustum or zone of a sphere?

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How do you find the convex surface of a zone
of a sphere?
Explain the rule for finding the solidity of a
circular spindle,-its surface

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How do you find the solidity of the middle frustum of a circular spindle?

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What is the rule for finding the solidity of a cylindrical ring,-its surface?

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What is the rule for finding the solidity or superficies of any regular body?

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Repeat the fourth rule

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How do you find the solidity of a body from its

weight?

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172

How do you find the weight of a body from its

solidity?

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THE USE OF THE SLIDING RULE.

How do you perform multiplication by the sliding rule, Division?

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How do you square any number by the sliding rule, extract the square root,-find a mean proportional between two numbers?

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How do you perform the rule of three by the
sliding rule?
How do you find the area of a rectangle or
rhomboides by the sliding rule,—of a trian-
gle,-and of a trapezium?
What is the rule for finding the area of a regular
polygon by the sliding rule?

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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

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