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 |
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Σελίδα 23
... 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 each ,. * The three conclusions in this enunciation are more briefly expressed by saying , that 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 each ,. * The three conclusions in this enunciation are more briefly expressed by saying , that the ...
Σελίδα 24
... angle ABC to the angle DEF , and the angle ACB to DFE . For , if the triangle ABC be applied to the triangle DEF , so that the point A may be on D , and the straight line AB upon DE ; the point B shall coincide with the point E ...
... angle ABC to the angle DEF , and the angle ACB to DFE . For , if the triangle ABC be applied to the triangle DEF , so that the point A may be on D , and the straight line AB upon DE ; the point B shall coincide with the point E ...
Σελίδα 25
... angle BFC is equal to the angle CGB ; wherefore the triangles BFC , CGB are equal ( 3. 1. ) , and their remaining ... ABC is therefore equal to the remaining angle ACB , which are the angles at the base of the triangle ABC : And it ...
... angle BFC is equal to the angle CGB ; wherefore the triangles BFC , CGB are equal ( 3. 1. ) , and their remaining ... ABC is therefore equal to the remaining angle ACB , which are the angles at the base of the triangle ABC : And it ...
Σελίδα 27
... angle EDF . For , if the triangle ABC be applied to the triangle DEF , so that the point B be on E , and the ... angle BAC coincides with the angle EDF , and is equal ( 8. Ax . ) to it . Therefore if two triangles , & c . Q. E. D. ...
... angle EDF . For , if the triangle ABC be applied to the triangle DEF , so that the point B be on E , and the ... angle BAC coincides with the angle EDF , and is equal ( 8. Ax . ) to it . Therefore if two triangles , & c . Q. E. D. ...
Σελίδα 28
... triangle ABC , and bisect ( 9. 1. ) the angle ACB by the straight line CD . AB is cut into two equal parts in the point D. Because AC is equal to CB , and CD common to the two triangles ACD , BCD : the two sides AC , CD , are equal to ...
... triangle ABC , and bisect ( 9. 1. ) the angle ACB by the straight line CD . AB is cut into two equal parts in the point D. Because AC is equal to CB , and CD common to the two triangles ACD , BCD : the two sides AC , CD , are equal to ...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ... Formerly Chairman Department of Immunology John Playfair,John Playfair Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2017 |
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