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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A plane rectilineal angle is the inclination of two straight lines to one another , which meet together , but are not in the same straight line . 66 D B N. B. “ When several angles are at one point B , any one of them is expressed by ...
A plane rectilineal angle is the inclination of two straight lines to one another , which meet together , but are not in the same straight line . 66 D B N. B. “ When several angles are at one point B , any one of them is expressed by ...
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Two lines are said to be parallel , when being situated in the same plane , they cannot meet , how far soever , either way , both of them be produced . 16. A plane figure , terminated on all sides by straight lines , is called a ...
Two lines are said to be parallel , when being situated in the same plane , they cannot meet , how far soever , either way , both of them be produced . 16. A plane figure , terminated on all sides by straight lines , is called a ...
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Let the straight line EF , which falls upon the two straight lines AB , CD make the alternate angles AEF , EFD equal to one another ; AB is parallel to CD . For , if it be not parallel , AB and CD being produced shall meet either ...
Let the straight line EF , which falls upon the two straight lines AB , CD make the alternate angles AEF , EFD equal to one another ; AB is parallel to CD . For , if it be not parallel , AB and CD being produced shall meet either ...
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If a straight line , cutting two other lines , make the sum of the two interior angles on the same side , less than two right angles , those two lines will meet if produced Let the straight line EF ( see last figure , ) make with the ...
If a straight line , cutting two other lines , make the sum of the two interior angles on the same side , less than two right angles , those two lines will meet if produced Let the straight line EF ( see last figure , ) make with the ...
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E D Through the point C draw CE A parallel to the straight line AB ; and because AB is parallel to CE , and AC meets them , the alternate angles BAC , ACE are equal ( 21. 1. ) Again , because AB is parallel to CE , and BD B С falls upon ...
E D Through the point C draw CE A parallel to the straight line AB ; and because AB is parallel to CE , and AC meets them , the alternate angles BAC , ACE are equal ( 21. 1. ) Again , because AB is parallel to CE , and BD B С falls upon ...
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ABCD altitude angle ABC angle BAC base bisected Book called centre chord circle circumference coincide common consequently construction cosine cylinder definition demonstrated described diameter difference distance 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 square straight line taken tangent THEOR third touch triangle ABC wherefore whole