The Elements of EuclidLongmans, Green and Company, 1866 - 376 páginas |
Dentro del libro
Resultados 1-5 de 100
Página 6
Euclides. PROPOSITION I. PROBLEM . To describe an equilateral triangle upon a given finite straight line . Let AB be the given straight line : it is required to describe an ... point A to B draw the straight line 6 EUCLID'S ELEMENTS .
Euclides. PROPOSITION I. PROBLEM . To describe an equilateral triangle upon a given finite straight line . Let AB be the given straight line : it is required to describe an ... point A to B draw the straight line 6 EUCLID'S ELEMENTS .
Página 7
Euclides. From the point A to B draw the straight line AB ; it describe the equilateral B G Η and upon triangle DAB ( 1. 1 ) , and produce the straight lines DA , DB , to E and F ( Post . 2 ) ; from the centre B , at the distance BC ...
Euclides. From the point A to B draw the straight line AB ; it describe the equilateral B G Η and upon triangle DAB ( 1. 1 ) , and produce the straight lines DA , DB , to E and F ( Post . 2 ) ; from the centre B , at the distance BC ...
Página 8
... given straight lines , a part AE has been cut off equal to C the less . Q. E. F. PROP . IV . THEOREM . If two ... point A may be on D , and the straight line AB upon DE , the point B shall coincide with the point E , because AB is equal ...
... given straight lines , a part AE has been cut off equal to C the less . Q. E. F. PROP . IV . THEOREM . If two ... point A may be on D , and the straight line AB upon DE , the point B shall coincide with the point E , because AB is equal ...
Página 13
... a given rectilineal angle , that is , to divide it into two equal angles . Let BAC be the given rectilineal angle : it is required to bisect it . A Take any point D in AB , and from AC cut off AE equal to AD ; join DE , and upon DE , on ...
... a given rectilineal angle , that is , to divide it into two equal angles . Let BAC be the given rectilineal angle : it is required to bisect it . A Take any point D in AB , and from AC cut off AE equal to AD ; join DE , and upon DE , on ...
Página 14
... given rectilineal angle BAC is bisected by the straight line AF . Q. E. F. ... point D. Because AC is equal to CB , and CD is common to the two triangles ... point D. Q. E. F. PROP . XI . PROB . A D B To draw a straight line at right ...
... given rectilineal angle BAC is bisected by the straight line AF . Q. E. F. ... point D. Because AC is equal to CB , and CD is common to the two triangles ... point D. Q. E. F. PROP . XI . PROB . A D B To draw a straight line at right ...
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