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 TrigonometryJ.B. Lippincott, 1857 - 317 pagine |
Dall'interno del libro
Risultati 1-5 di 63
Pagina 13
... angle BAC be also equal to the angle EDF : then shall he base BC be equal to the base EF ; and the tri- angle ABC to the triangle DEF ; and the other an- gles , to which the equal sides are opposite , shall be equal , each to each , AA ...
... angle BAC be also equal to the angle EDF : then shall he base BC be equal to the base EF ; and the tri- angle ABC to the triangle DEF ; and the other an- gles , to which the equal sides are opposite , shall be equal , each to each , AA ...
Pagina 14
... 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 ; wherefore the base BC shall coincide with the base EF cor . def ...
... 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 ; wherefore the base BC shall coincide with the base EF cor . def ...
Pagina 16
... angle ECD is greater than the angle BCD ; wherefore the angle FDC is likewise greater than BCD ; much more then is ... BAC is equal to ' he angle EDF . For , if the triangle ABC be applied to the triangle DEF , so that the point B be on ...
... angle ECD is greater than the angle BCD ; wherefore the angle FDC is likewise greater than BCD ; much more then is ... BAC is equal to ' he angle EDF . For , if the triangle ABC be applied to the triangle DEF , so that the point B be on ...
Pagina 17
... angle BAC coincides with the angle EDF , and is equal ( 8. Ax . ) to it . PROP . IX . PROB . To bisect a given rectilineal angle , that is , to divide it into two equal angles A Let BAC be the given rectilineal angle , it is required to ...
... angle BAC coincides with the angle EDF , and is equal ( 8. Ax . ) to it . PROP . IX . PROB . To bisect a given rectilineal angle , that is , to divide it into two equal angles A Let BAC be the given rectilineal angle , it is required to ...
Pagina 20
... angle ABC , and the remaining angle ABE is equal ( 3. Ax . ) to the remaining angle ABD , the less to the greater ... BAC . Bisect ( 10. 1. ) AC in E , join BE and produce it to F , and make EF equal to BE ; join also FC , and produce AC to G ...
... angle ABC , and the remaining angle ABE is equal ( 3. Ax . ) to the remaining angle ABD , the less to the greater ... BAC . Bisect ( 10. 1. ) AC in E , join BE and produce it to F , and make EF equal to BE ; join also FC , and produce AC to G ...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ... Euclid,John Playfair Visualizzazione completa - 1853 |
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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 magnitudes meet multiple opposite angle parallel parallelogram parallelopiped perpendicular plane 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 third touches the circle triangle ABC triangle DEF wherefore