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 TrigonometryB. & S. Collins; W. E. Dean, printer, 1836 - 311 páginas |
Dentro del libro
Resultados 6-10 de 86
Página 16
... producing any of the sides : thus , the line BC , for example , is the shortest distance from B to C ; therefore BC ... Produce BD to E ; and because two sides of a triangle ( 13. 1. ) are greater than the third side , the two sides BA ...
... producing any of the sides : thus , the line BC , for example , is the shortest distance from B to C ; therefore BC ... Produce BD to E ; and because two sides of a triangle ( 13. 1. ) are greater than the third side , the two sides BA ...
Página 19
... produced , do not meet towards B , D. In like manner it may be demonstrated that they do not meet towards A , C ; but those straight lines which meet neither way , though produced ever so far , are parallel ( 15 Def . ) to one another ...
... produced , do not meet towards B , D. In like manner it may be demonstrated that they do not meet towards A , C ; but those straight lines which meet neither way , though produced ever so far , are parallel ( 15 Def . ) to one another ...
Página 20
... produce KG to L ; then KL will be parallel to CD ( 19. 1. ) ; but AB is also parallel to CD ; therefore two straight lines are drawn through the same point G , parallel to CD , and yet not coinciding with one another , which is ...
... produce KG to L ; then KL will be parallel to CD ( 19. 1. ) ; but AB is also parallel to CD ; therefore two straight lines are drawn through the same point G , parallel to CD , and yet not coinciding with one another , which is ...
Página 21
... produced . Let the straight line EF ( see last figure , ) make with the two lines KL and CD , the two angles KGH , GHC together less than two right angles , KG and CH will meet on the side of EF , on which the two angles are that are ...
... produced . Let the straight line EF ( see last figure , ) make with the two lines KL and CD , the two angles KGH , GHC together less than two right angles , KG and CH will meet on the side of EF , on which the two angles are that are ...
Página 22
... produced , the exterior angle is equal to the two interior and opposite angles ; and the three interior angles of every trian- gle are equal to two right angles . Let ABC be a triangle , and let one of its sides BC be produced to D ...
... produced , the exterior angle is equal to the two interior and opposite angles ; and the three interior angles of every trian- gle are equal to two right angles . Let ABC be a triangle , and let one of its sides BC be produced to D ...
Otras ediciones - Ver todas
Términos y frases comunes
ABC is equal ABCD adjacent angles altitude angle ABC angle ACB angle BAC angles equal base BC bisected centre chord circle ABC circumference cosine cylinder demonstrated diameter divided equal and similar equal angles equiangular equilateral equilateral polygon equimultiples Euclid exterior angle fore four right angles given straight line greater Hence hypotenuse inscribed join less Let ABC Let the straight magnitudes meet multiple opposite angle parallel parallelogram parallelopiped perpendicular polygon prism PROP proposition quadrilateral radius ratio rectangle contained rectilineal figure remaining angle right angled triangle SCHOLIUM segment semicircle shewn side BC sine solid angle solid parallelopiped spherical angle spherical triangle square straight line BC THEOR third touches the circle triangle ABC triangle DEF wherefore