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 TrigonometryE. Duyckinck, and George Long, 1824 - 333 σελίδες |
Αναζήτηση στο βιβλίο
Σελίδα 23
... angle BAC be also equal to the angle EDF : then shall the base BC be equal to the base EF ; and the triangle ABC to the tri- angle DEF ; and the other angles , to which the equal sides are op- AA B C E posite , shall be equal , each to ...
... angle BAC be also equal to the angle EDF : then shall the base BC be equal to the base EF ; and the triangle ABC to the tri- angle DEF ; and the other angles , to which the equal sides are op- AA B C E posite , shall be equal , each to ...
Σελίδα 24
... 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 ...
... 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 ...
Σελίδα 27
... angle BAC is equal to the angle EDF . For , if the triangle ABC be applied to the triangle DEF , so that the point B be on E , and the straight line BC upon EF ; the point C shall also coincide with the point F , because BC is equal to ...
... angle BAC is equal to the angle EDF . For , if the triangle ABC be applied to the triangle DEF , so that the point B be on E , and the straight line BC upon EF ; the point C shall also coincide with the point F , because BC is equal to ...
Σελίδα 36
... angle FAG is made equal to the given rectilineal angle DCE . Which was to be done . PROP . XXIV . THEOR . If two ... EDF ; the base BC is also greater than the base EF . Of the two sides DE , DF , let DE be the side which is not greater than ...
... angle FAG is made equal to the given rectilineal angle DCE . Which was to be done . PROP . XXIV . THEOR . If two ... EDF ; the base BC is also greater than the base EF . Of the two sides DE , DF , let DE be the side which is not greater than ...
Σελίδα 37
... angle EDF . For , if it be not greater , it must either be equal to it , or less ; but the angle BAC is not equal to the angle EDF , because then the base BC would be equal ( 4. 1. ) to EF ; but it is not ; there- fore the angle BAC ...
... angle EDF . For , if it be not greater , it must either be equal to it , or less ; but the angle BAC is not equal to the angle EDF , because then the base BC would be equal ( 4. 1. ) to EF ; but it is not ; there- fore the angle BAC ...
Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
ABC is equal ABCD altitude angle ABC angle ACB angle BAC angle EDF arch AC base BC bisected centre circle ABC circumference cosine cylinder definition demonstrated diameter draw equal angles equiangular equilateral equilateral polygon equimultiples Euclid exterior angle fore four right angles given straight line greater hypotenuse inscribed join less Let ABC Let the straight line BC magnitudes MDCCCXX meet multiple opposite angle parallel parallelepipeds parallelogram perpendicular polygon prism PROB produced proportionals proposition Q. E. D. COR Q. E. D. PROP radius ratio rectangle contained rectilineal figure remaining angle segment semicircle shewn side BC sine solid angle solid parallelepipeds spherical angle spherical triangle straight line AC THEOR third touches the circle triangle ABC triangle DEF wherefore