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 100
Side 12
... ABC is an equilateral triangle . Because the point A is the cen- tre of the circle BCD , AC is equal מן C A B H ( 11. Definition ) to AB ; and because the point B ... equal to the same are equal to one another ; therefore 12 ELEMENTS.
... ABC is an equilateral triangle . Because the point A is the cen- tre of the circle BCD , AC is equal מן C A B H ( 11. Definition ) to AB ; and because the point B ... equal to the same are equal to one another ; therefore 12 ELEMENTS.
Side 13
... equal to one another ; therefore the straight line AL is equal to BC . Wherefore , from the given point A , a ... ABC , DEF be two ' triangles which have the two sides AB , AC equal to the two sides DE , DF , each to each , viz ...
... equal to one another ; therefore the straight line AL is equal to BC . Wherefore , from the given point A , a ... ABC , DEF be two ' triangles which have the two sides AB , AC equal to the two sides DE , DF , each to each , viz ...
Side 14
... equal to it . Therefore also the whole triangle ABC shall coincide with the whole triangle DEF , so that the spaces which they contain or their areas are equal ; and the remaining angles of the one shall coincide with the remaining ...
... equal to it . Therefore also the whole triangle ABC shall coincide with the whole triangle DEF , so that the spaces which they contain or their areas are equal ; and the remaining angles of the one shall coincide with the remaining ...
Side 15
... equal to one another , the sides which subtend or are opposite to them , are also equal to one another . Let ABC be a triangle having the angle ABC equal to the angle ACB ; the side AB is also equal to the side AC . For , if AB be not equal ...
... equal to one another , the sides which subtend or are opposite to them , are also equal to one another . Let ABC be a triangle having the angle ABC equal to the angle ACB ; the side AB is also equal to the side AC . For , if AB be not equal ...
Side 16
... equal to AD in the triangle ACD , the angles ECD , FDC upon the other side of the base CD are equal ( 5. 1. ) to one ... ABC , DEF be two triangles having the two sides AB , AC , equal to the two sides DE , DF , each to each , viz ...
... equal to AD in the triangle ACD , the angles ECD , FDC upon the other side of the base CD are equal ( 5. 1. ) to one ... ABC , DEF be two triangles having the two sides AB , AC , equal to the two sides DE , DF , each to each , viz ...
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