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 Elements of Plane and Spherical Trigonometry |
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Σελίδα 19
A circle is a plane figure contained by one line , which is called the circumference , and is such that all straight lines drawn from a certain point within the ... Rectilineal figures are those which are contained by straight lines .
A circle is a plane figure contained by one line , which is called the circumference , and is such that all straight lines drawn from a certain point within the ... Rectilineal figures are those which are contained by straight lines .
Σελίδα 42
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 . For any rectilineal figure ABCDE can be divided into as many triangles 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 . For any rectilineal figure ABCDE can be divided into as many triangles as the figure has ...
Σελίδα 49
a PROP . XLV . PROB . To describe a parallelogram equal to a given rectilineal figure , and hav . ing an angle equal to a given rectilineal angle . Let ABCD be the given rectilineal figure , and E the ...
a PROP . XLV . PROB . To describe a parallelogram equal to a given rectilineal figure , and hav . ing an angle equal to a given rectilineal angle . Let ABCD be the given rectilineal figure , and E the ...
Σελίδα 50
... the whole rectilineal figure ABCD is equal to the whole parallelogram KFLM ; therefore the parallelogram KFLM has been ... to a given rectili . neal angle , and shall be equal to a given rectilineal figure , viz . by applying ( 44.
... the whole rectilineal figure ABCD is equal to the whole parallelogram KFLM ; therefore the parallelogram KFLM has been ... to a given rectili . neal angle , and shall be equal to a given rectilineal figure , viz . by applying ( 44.
Σελίδα 63
Let A be the given rectilineal figure ; it is required to describe a square that shall be equal to A. Describe ( 45. 1. ) the rectangular parallelogram RCDE equal to the rectilineal figure A. If then the sides of it , BE , ED are equal ...
Let A be the given rectilineal figure ; it is required to describe a square that shall be equal to A. Describe ( 45. 1. ) the rectangular parallelogram RCDE equal to the rectilineal figure A. If then the sides of it , BE , ED are equal ...
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ABC is equal ABCD altitude angle ABC angle BAC arch base bisected Book called centre circle circle ABC circumference coincide common cylinder definition demonstrated described diameter difference divided double draw drawn equal equal angles equiangular Euclid exterior angle extremity fall fore four fourth given given straight line greater half inscribed interior join less Let ABC magnitudes manner meet multiple opposite parallel parallelogram pass perpendicular plane polygon prism produced PROP proportionals proposition proved radius ratio reason rectangle contained rectilineal figure right angles segment shewn sides similar sine solid square straight line taken tangent THEOR thing third touches triangle ABC wherefore whole