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 sider |
Inni boken
Resultat 1-5 av 63
Side 17
... bisect a given rectilineal angle , that is , to divide it into two equal angles . Let BAC be the given rectilineal angle , it is required to bisect it . Take any point D in AB , and from AC cut ( 3. 1. ) off AE equal to AD ; join DE ...
... bisect a given rectilineal angle , that is , to divide it into two equal angles . Let BAC be the given rectilineal angle , it is required to bisect it . Take any point D in AB , and from AC cut ( 3. 1. ) off AE equal to AD ; join DE ...
Side 18
... bisect ( 10. 1. ) FG in H , and join AF CF , CH , CG ; the straight line CH , drawn from the given point C , is per- pendicular to the given straight line AB . C E H B D Because FH is equal to HG , and HC common to the two triangles FHC ...
... bisect ( 10. 1. ) FG in H , and join AF CF , CH , CG ; the straight line CH , drawn from the given point C , is per- pendicular to the given straight line AB . C E H B D Because FH is equal to HG , and HC common to the two triangles FHC ...
Side 20
... Bisect ( 10. 1. ) AC in E , join BE and produce it to F , and make Er equal to BE ; join also FC , and produce AC to G. Because AE is equal to EC , and BE to EF ; AE , EB are equal to CE , EF , each to each ; and the angle AEB is equal ...
... Bisect ( 10. 1. ) AC in E , join BE and produce it to F , and make Er equal to BE ; join also FC , and produce AC to G. Because AE is equal to EC , and BE to EF ; AE , EB are equal to CE , EF , each to each ; and the angle AEB is equal ...
Side 21
... bisected , it may be demonstrated that the angle BCG , that is ( 15. 1. ) , the angle ACD , is greater than the angle ABC . B A T E D PROP . XVII . THEOR . Any two angles of a triangle are together less than two right angles . Let ABC ...
... bisected , it may be demonstrated that the angle BCG , that is ( 15. 1. ) , the angle ACD , is greater than the angle ABC . B A T E D PROP . XVII . THEOR . Any two angles of a triangle are together less than two right angles . Let ABC ...
Side 37
... Bisect ( 10. 1. ) BC in E , join AE , and at the point E in the straight line EC make ( 23. 1. ) the angle CEF equal to D ; and through A draw ( 31 . 1. ) AG parallel to BC , and through C draw CG ( 31. 1. ) parallel to EF ; Therefore ...
... Bisect ( 10. 1. ) BC in E , join AE , and at the point E in the straight line EC make ( 23. 1. ) the angle CEF equal to D ; and through A draw ( 31 . 1. ) AG parallel to BC , and through C draw CG ( 31. 1. ) parallel to EF ; Therefore ...
Andre utgaver - Vis alle
Elements of Geometry: Containing the First Six Books of Euclid, with a ... Euclid,John Playfair Uten tilgangsbegrensning - 1853 |
Elements of Geometry;: Containing the First Six Books of Euclid, with Two ... Euclid,John Playfair Uten tilgangsbegrensning - 1795 |
Elements of Geometry: Containing the First Six Books of Euclid, with a ... John Playfair Uten tilgangsbegrensning - 1857 |
Vanlige uttrykk og setninger
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