Elements of Geometry: Containing the First Six Books of Euclid: With a Supplement ... to which are Added, Elements of Plane and Sphericale Trigonometry ... From the Last London Ed., EnlJ.B. Lippincott & Company, 1866 - 317 Seiten |
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Seite 8
... coincide " in part , without coinciding altogether . " 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 . " 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 ...
Seite 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 ...
Seite 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 d'e every way equal . coinciding with DE , AC shall coincide with DF , OF ...
... 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 d'e every way equal . coinciding with DE , AC shall coincide with DF , OF ...
Seite 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 ...
Seite 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- don , 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- don , as EG and FG ...
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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 spherical angle spherical triangle square straight line BC THEOR third touches the circle triangle ABC triangle DEF wherefore