The Elements of EuclidLongmans, Green and Company, 1866 - 376 páginas |
Dentro del libro
Resultados 1-5 de 100
Página 6
... equal to AB ( Definition 15 ) ; and because the point B is the centre of the circle ACE , BC is equal to BA : But it has been proved that CA is equal to AB ; therefore CA , CB are each of them equal to AB : But things which are equal to ...
... equal to AB ( Definition 15 ) ; and because the point B is the centre of the circle ACE , BC is equal to BA : But it has been proved that CA is equal to AB ; therefore CA , CB are each of them equal to AB : But things which are equal to ...
Página 7
... equal to BG : And because D is the centre of the circle GKL , DL is equal to DG : and DA , DB , parts of them , are equal ( Construction ) ; therefore the remainder AL is equal to the remainder BC ( Ax . 3 ) : But it has been shown that ...
... equal to BG : And because D is the centre of the circle GKL , DL is equal to DG : and DA , DB , parts of them , are equal ( Construction ) ; therefore the remainder AL is equal to the remainder BC ( Ax . 3 ) : But it has been shown that ...
Página 8
... equal to AD : Wherefore AE is equal to C , and from AB , the greater of two given straight lines , a part AE has been cut off equal to C the less . Q. E. F. PROP . IV . THEOREM . If two triangles have two sides of the one equal to two ...
... equal to AD : Wherefore AE is equal to C , and from AB , the greater of two given straight lines , a part AE has been cut off equal to C the less . Q. E. F. PROP . IV . THEOREM . If two triangles have two sides of the one equal to two ...
Página 9
... equal to it ; and the other angles of the one shall coincide with the other angles of the other , and be equal to them , each to each , viz . the angle ABC to the angle DEF , and the angle ACB to the angle DFE . Wherefore , If two ...
... equal to it ; and the other angles of the one shall coincide with the other angles of the other , and be equal to them , each to each , viz . the angle ABC to the angle DEF , and the angle ACB to the angle DFE . Wherefore , If two ...
Página 10
... equal to the whole AG , of which the parts AB , AC are equal , the remainder BF is equal to the remainder CG , and FC was proved to be equal to GB ; therefore the two sides BF , FC are equal to the two CG , GB , each to each , and the ...
... equal to the whole AG , of which the parts AB , AC are equal , the remainder BF is equal to the remainder CG , and FC was proved to be equal to GB ; therefore the two sides BF , FC are equal to the two CG , GB , each to each , and the ...
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