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, 1836 - 311 páginas |
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Página 4
... meet together , but are not in the same straight line . D 6 B E N. B. ' When several angles are at one point B , any one of them is ex- ' pressed by three letters , of which the letter that is at the vertex of the an- gle , that is , at ...
... meet together , but are not in the same straight line . D 6 B E N. B. ' When several angles are at one point B , any one of them is ex- ' pressed by three letters , of which the letter that is at the vertex of the an- gle , that is , at ...
Página 6
... meet , how far soever , either way , both of them be produced . 16. A plane figure , terminated on all sides by straight lines , is called a rectilineal figure , or polygon , and the lines themselves taken together form the contour , or ...
... meet , how far soever , either way , both of them be produced . 16. A plane figure , terminated on all sides by straight lines , is called a rectilineal figure , or polygon , and the lines themselves taken together form the contour , or ...
Página 19
... meet towards B , D. In like manner it may be demonstrated that they do not meet towards A , C ; but those straight lines which meet neither way , though produced ever so far , are parallel ( 15 Def . ) to one another . AB therefore is ...
... meet towards B , D. In like manner it may be demonstrated that they do not meet towards A , C ; but those straight lines which meet neither way , though produced ever so far , are parallel ( 15 Def . ) to one another . AB therefore is ...
Página 21
... meet on the side of EF , on which the two angles are that are less than two right angles . For , if not , KL and CD are either parallel , or they meet on the other side of EF ; but they are not parallel ; for the angles KGH , GHC would ...
... meet on the side of EF , on which the two angles are that are less than two right angles . For , if not , KL and CD are either parallel , or they meet on the other side of EF ; but they are not parallel ; for the angles KGH , GHC would ...
Página 23
... meets them , the al- ternate angles BAC , ACE are equal ( 21. 1. ) Again , because AB is parallel to CE , and BD falls upon them , the exterior an- gle ECD is equal to the interior and opposite angle ABC , but the angle ACE was shewn to ...
... meets them , the al- ternate angles BAC , ACE are equal ( 21. 1. ) Again , because AB is parallel to CE , and BD falls upon them , the exterior an- gle ECD is equal to the interior and opposite angle ABC , but the angle ACE was shewn to ...
Otras ediciones - Ver todas
Elements of Geometry: Containing the First Six Books of Euclid, with a ... John Playfair Vista de fragmentos - 1836 |
Términos y frases comunes
ABC is equal ABCD adjacent angles altitude angle ABC angle ACB angle BAC angles equal base BC bisected centre chord circle ABC circumference cosine cylinder demonstrated diameter divided draw Prob equal and similar equal angles equiangular equilateral equilateral polygon equimultiples Euclid exterior angle fore four right angles 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 PROP 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