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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Αποτελέσματα 1 - 5 από τα 95.
Σελίδα 22
Postulate the circle BCD , and from the centre B , at the distance BA , describe the circle ACE ; and from the point C , in D A B E which the circles cut one another , draw the straight lines ( 1. Post . ) ...
Postulate the circle BCD , and from the centre B , at the distance BA , describe the circle ACE ; and from the point C , in D A B E which the circles cut one another , draw the straight lines ( 1. Post . ) ...
Σελίδα 23
It is required to cut off from AB , the greater , a part equal to C , the less . From the point A draw ( 2. 1. ) А. E B the straight line AD equal to C ; and from the centre A , and at the distance AD , describe ( 3. Post . ) ...
It is required to cut off from AB , the greater , a part equal to C , the less . From the point A draw ( 2. 1. ) А. E B the straight line AD equal to C ; and from the centre A , and at the distance AD , describe ( 3. Post . ) ...
Σελίδα 28
1. ) DB , and the straight line AB is divided into two equal parts in the point D. Which was to be done . A D B PROP . XI . PROB . a To draw a straight line at right angles to a given straight line , from a given point ...
1. ) DB , and the straight line AB is divided into two equal parts in the point D. Which was to be done . A D B PROP . XI . PROB . a To draw a straight line at right angles to a given straight line , from a given point ...
Σελίδα 29
To draw a straight line perpendicular to a given straight line , of an unlimited length , from a given point without it . Let AB be a given straight line , which may be produced to any length both ways , and let C be a point without it ...
To draw a straight line perpendicular to a given straight line , of an unlimited length , from a given point without it . Let AB be a given straight line , which may be produced to any length both ways , and let C be a point without it ...
Σελίδα 41
To draw a straight line through a given point parallel to a given straight line . Let A be the given point , and BC the given straight line , it is required to draw a straight line Α . through the point A , parallel to the straight line ...
To draw a straight line through a given point parallel to a given straight line . Let A be the given point , and BC the given straight line , it is required to draw a straight line Α . through the point A , parallel to the straight line ...
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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