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 TrigonometryW. E. Dean, 1851 - 317 pagine |
Dall'interno del libro
Risultati 1-5 di 27
Pagina 8
... coincide " in part , without coinciding altogether . " 66 4. A superficies is that which has only length and breadth . " COR . The extremities of a superficies are lines ; and the intersections of one superficies with another are also ...
... coincide " in part , without coinciding altogether . " 66 4. A superficies is that which has only length and breadth . " COR . The extremities of a superficies are lines ; and the intersections of one superficies with another are also ...
Pagina 11
... coincide with one another , that is , which exactly fill the same space , are equal to one another . 9. The whole is greater than its part . 10. All right angles are equal to one another . 11. " Two straight lines which intersect one ...
... coincide with one another , that is , which exactly fill the same space , are equal to one another . 9. The whole is greater than its part . 10. All right angles are equal to one another . 11. " Two straight lines which intersect one ...
Pagina 13
... coincide with the point E , because AB is equal to DE ; and AB * The three conclusions in this enunciation are more briefly expressed by saying , that the triangles are every way equal . coinciding with DE , AC shall coincide with DF ...
... coincide with the point E , because AB is equal to DE ; and AB * The three conclusions in this enunciation are more briefly expressed by saying , that the triangles are every way equal . coinciding with DE , AC shall coincide with DF ...
Pagina 14
... coinciding with DE , AC shall coincide with DF , because the angle BAC is equal to the angle EDF ; wherefore also the point C shall coincide with the point F , because AC is equal to DF : But the point B coincides with the point E ...
... coinciding with DE , AC shall coincide with DF , because the angle BAC is equal to the angle EDF ; wherefore also the point C shall coincide with the point F , because AC is equal to DF : But the point B coincides with the point E ...
Pagina 16
... coincide with the point F , because BC is equal to EF : therefore BC coin- ciding with EF , BA and AC shall coincide with ED and DF ; for , if BA and CA do not coincide with ED and FD , but have a different situa- tion , as EG and FG ...
... coincide with the point F , because BC is equal to EF : therefore BC coin- ciding with EF , BA and AC shall coincide with ED and DF ; for , if BA and CA do not coincide with ED and FD , but have a different situa- tion , as EG and FG ...
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Parole e frasi comuni
ABC is equal ABCD adjacent angles altitude angle ABC angle ACB angle BAC base BC bisected centre chord circle ABC circumference cosine cylinder demonstrated described diameter divided draw equal and similar equal angles equiangular equilateral equilateral polygon equimultiples Euclid exterior angle fore four right angles given rectilineal 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 PROB PROP proportional 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 touches the circle triangle ABC triangle DEF wherefore