The Elements of EuclidLongmans, Green and Company, 1866 - 376 páginas |
Dentro del libro
Resultados 1-5 de 64
Página 6
... fore CA , AB , BC are equal to one another ; and the triangle ABC is therefore equilateral , and it is described upon the given straight line AB . Q. E. F. PROP . II . PROB . From a given point to draw a straight line equal to a given ...
... fore CA , AB , BC are equal to one another ; and the triangle ABC is therefore equilateral , and it is described upon the given straight line AB . Q. E. F. PROP . II . PROB . From a given point to draw a straight line equal to a given ...
Página 9
... fore ( 1. 4 ) the base FC is equal to the base GB , and the triangle AFC to the triangle AGB , and the remaining angles of the one to the remain- ing angles of the other , each to each , to which the equal G E sides are opposite , viz ...
... fore ( 1. 4 ) the base FC is equal to the base GB , and the triangle AFC to the triangle AGB , and the remaining angles of the one to the remain- ing angles of the other , each to each , to which the equal G E sides are opposite , viz ...
Página 10
... fore equal to the remaining angle ACB ( Ax . 3 ) , which are the angles at the base of the triangle ABC : And it has been proved that the angle FBC is equal to the angle GCB , which are the angles upon the other side of the base . F BA ...
... fore equal to the remaining angle ACB ( Ax . 3 ) , which are the angles at the base of the triangle ABC : And it has been proved that the angle FBC is equal to the angle GCB , which are the angles upon the other side of the base . F BA ...
Página 13
... fore also the angle BAC coincides with the angle EDF , and is equal to it . Wherefore , If two triangles , & c . Q. E. D. PROP . IX . PROB . To bisect a given rectilineal angle , that is , to divide it into two equal angles . Let BAC be ...
... fore also the angle BAC coincides with the angle EDF , and is equal to it . Wherefore , If two triangles , & c . Q. E. D. PROP . IX . PROB . To bisect a given rectilineal angle , that is , to divide it into two equal angles . Let BAC be ...
Página 15
... fore two straight lines cannot have a common segment . PROP . XII . PROB . 122 A B To draw a straight line , perpendicular to a given straight line of unlimited length , from a given point without it . Let AB be the given straight line ...
... fore two straight lines cannot have a common segment . PROP . XII . PROB . 122 A B To draw a straight line , perpendicular to a given straight line of unlimited length , from a given point without it . Let AB be the given straight line ...
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