## A Treatise on Mensuration, Both in Theory and Practice |

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Page xxiii

Part I. Contains the menfuration of right lines and right - lined

divided into 3 fections . Seft , 1. Contains some geometrical definitions and

problems . Some of the definitions are new , and , it is presumed , more compleat

and less ...

Part I. Contains the menfuration of right lines and right - lined

**angles**, and isdivided into 3 fections . Seft , 1. Contains some geometrical definitions and

problems . Some of the definitions are new , and , it is presumed , more compleat

and less ...

Page 1

2 Of lineal and angular Menfuration , or the Menfuration of Lines and

S E C T I O N I. Geometrical ... it is a curve line , as CD . An

inclination of two lines which meet . i If they be right lines , it is called A If де Α. ...

2 Of lineal and angular Menfuration , or the Menfuration of Lines and

**Angles**.S E C T I O N I. Geometrical ... it is a curve line , as CD . An

**angle**is the mutualinclination of two lines which meet . i If they be right lines , it is called A If де Α. ...

Page 2

i If they be right lines , it is called a rectilineal or a plane

be curves , it is a curvilineal

and a curve , it is a mixt

the ...

i If they be right lines , it is called a rectilineal or a plane

**angle**, as A. A A If theybe curves , it is a curvilineal

**angle**, as B. B If the**angle**be made by a right lineand a curve , it is a mixt

**angle**, as C. D The point where the two lines , or legs ofthe ...

Page 3

N P N P 2 e t Perpendicular lines are those which make a right

EFH . The distance between any point and a line is a line drawn from that point

perpendicularly to the line . Parallel lines are those of which every point of the ...

N P N P 2 e t Perpendicular lines are those which make a right

**angle**, as GF andEFH . The distance between any point and a line is a line drawn from that point

perpendicularly to the line . Parallel lines are those of which every point of the ...

Page 7

Similar triangles are those whose

figures are those which consist of the same number of

each , and placed in the same order ; and ... To bisect a given given

1.

Similar triangles are those whose

**angles**are equal , each to each . Similar planefigures are those which consist of the same number of

**angles**equal , each toeach , and placed in the same order ; and ... To bisect a given given

**angle**BAC .1.

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abſciſſa alſo altitude angle baſe become breadth bung called caſk circle circular circumference common cone conjugate conſequently COROLLARY curve DEMONSTRATION deſcribe diameter difference dimenſions diſtance divided double draw drawn ellipſe equal evident EX A M P L EXAMPLE feet fides figure firſt fixed folidity fruſtum gallons girt give given greater half head height hence hyperbola inches infinite John laſt length leſs mean meaſure method middle multiply muſt nearly Note oppoſite ordinate parabola parallel perpendicular plane prob PROBLEM proportional putting quantity quotient radius root rule ſaid ſame ſection ſegment ſeries ſhall ſide ſimilar ſine ſolid ſphere ſpheroid ſpindle ſquare ſum ſurface taken tangent theſe thoſe triangle uſed verſed Wherefore whole whoſe yards zone