The Elements of EuclidLongmans, Green and Company, 1866 - 376 páginas |
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Página 6
... given straight line : it is required to describe an equilateral triangle upon AB . From the centre A , at the ... given straight line AB . Q. E. F. PROP . II . PROB . From a given point to draw a straight line equal to a given straight ...
... given straight line : it is required to describe an equilateral triangle upon AB . From the centre A , at the ... given straight line AB . Q. E. F. PROP . II . PROB . From a given point to draw a straight line equal to a given straight ...
Página 7
... given point A a straight line AL has been drawn equal to the given straight line BC . Q. E. F. PROP . III . PROB . From the greater of two given straight lines to cut off a part equal to the less . Let AB and C be the two given straight ...
... given point A a straight line AL has been drawn equal to the given straight line BC . Q. E. F. PROP . III . PROB . From the greater of two given straight lines to cut off a part equal to the less . Let AB and C be the two given straight ...
Página 14
... given rectilineal angle BAC is bisected by the straight line AF . Q. E. F. PROP . X. PROB . To bisect a given finite straight line , that is , to divide it into two equal parts . Let AB be the given straight line : it is required to ...
... given rectilineal angle BAC is bisected by the straight line AF . Q. E. F. PROP . X. PROB . To bisect a given finite straight line , that is , to divide it into two equal parts . Let AB be the given straight line : it is required to ...
Página 15
... given straight line AB , CF has been drawn at right angles to AB . Q. E. F. COR . By the help of this problem , it may be demon- strated that two straight lines cannot have a common segment . If it be possible , let the two straight lines ...
... given straight line AB , CF has been drawn at right angles to AB . Q. E. F. COR . By the help of this problem , it may be demon- strated that two straight lines cannot have a common segment . If it be possible , let the two straight lines ...
Página 16
... line CH is drawn from the given point C perpendicular to the given straight line AB . Because FH is equal to HG , and HC common to the two triangles FHC , GHC , the two sides FH , HC , are equal to the two GH , HC , each to each , and ...
... line CH is drawn from the given point C perpendicular to the given straight line AB . Because FH is equal to HG , and HC common to the two triangles FHC , GHC , the two sides FH , HC , are equal to the two GH , HC , each to each , and ...
Términos y frases comunes
AB² ABCD AC² AD² adjacent angles angle ABC angle ACB angle BAC angle equal base BC BC is equal centre chord circle ABC circumference diameter double draw equal angles equal to F equiangular equilateral triangle equimultiples exterior angle fore given circle given line given point given rectilineal given straight line gnomon hypotenuse inscribed intersection isosceles triangle join less Let ABC lines be drawn lines drawn meet multiple opposite angles parallel to BC parallelogram perpendicular plane polygon PROB produced proportionals Q. E. D. PROP rectangle contained rectilineal figure remaining angle right angles segment semicircle shew shewn square on AC tangents THEOR touches the circle triangle ABC twice the rectangle vertex Wherefore