Elements of Geometry: Containing the First Six Books of Euclid, with a Supplement on the Quadrature of the Circle, and the Geometry of Solids: to which are Added, Edlemnts of Plane and Spherical Trigonometry |
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Página 6
A plane figure , terminated on all sides by straight lines , is called a rectilineal figure , or polygon , and the lines themselves taken together form the contour , or perimeter of the polygon . 17. The polygon of three sides ...
A plane figure , terminated on all sides by straight lines , is called a rectilineal figure , or polygon , and the lines themselves taken together form the contour , or perimeter of the polygon . 17. The polygon of three sides ...
Página 23
All the interior angles of any rectilineal figure are equal to twice as many right angles as the figure has sides , wanting four right angles . D For any rectilineal figure ABCDE can be divided into as many trian- gles as the figure has ...
All the interior angles of any rectilineal figure are equal to twice as many right angles as the figure has sides , wanting four right angles . D For any rectilineal figure ABCDE can be divided into as many trian- gles as the figure has ...
Página 24
gles of the figure are equal to twice as many right angles as the figure has sides , wanting four . COR . 1. All the exterior angles of any rectilineal figure are together equal to four right angles . Because every interior an- gle ABC ...
gles of the figure are equal to twice as many right angles as the figure has sides , wanting four . COR . 1. All the exterior angles of any rectilineal figure are together equal to four right angles . Because every interior an- gle ABC ...
Página 40
To describe a parallelogram equivalent to a given rectilineal figure , and having an angle equal to a given rectilineal angle . Let ABCD be the given rectilineal figure , and E the given rectilineal angle . It is required to describe a ...
To describe a parallelogram equivalent to a given rectilineal figure , and having an angle equal to a given rectilineal angle . Let ABCD be the given rectilineal figure , and E the given rectilineal angle . It is required to describe a ...
Página 41
And because the triangle ABD is equal to the parallel- ogram HF , and the triangle DBC to the parallelogram GM , the whole rectilineal figure ABCD is equal to the whole parallelogram KFLM ; therefore the parallelogram KFLM has been ...
And because the triangle ABD is equal to the parallel- ogram HF , and the triangle DBC to the parallelogram GM , the whole rectilineal figure ABCD is equal to the whole parallelogram KFLM ; therefore the parallelogram KFLM has been ...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ... John Playfair Vista de fragmentos - 1836 |
Términos y frases comunes
ABCD altitude angle ABC angle BAC base bisected Book called centre chord circle circumference coincide common consequently construction cylinder definition demonstrated described diameter difference divided double draw drawn equal equal angles equiangular equilateral Euclid exterior angle extremities fall fore four fourth given given straight line greater half Hence inscribed interior join less Let ABC magnitudes manner meet multiple opposite parallel parallelogram pass perpendicular plane polygon prism Prob produced PROP proportional proposition proved radius ratio reason rectangle contained rectilineal figure remaining right angles segment shewn sides similar sine solid spherical square straight line taken tangent THEOR third touch triangle ABC wherefore whole