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 |
Dentro del libro
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Página 9
... Let ABC , DEF be two triangles which have the two sides AB , AC equal to the two sides DE , DF , each to each , viz . AB to DE , and AC to DF ; and let the angle BAC be also equal to the angle EDF : then shall the base BC be equal to ...
... Let ABC , DEF be two triangles which have the two sides AB , AC equal to the two sides DE , DF , each to each , viz . AB to DE , and AC to DF ; and let the angle BAC be also equal to the angle EDF : then shall the base BC be equal to ...
Página 10
... 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 to AC , 10 ELEMENTS.
... 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 to AC , 10 ELEMENTS.
Página 12
... ABC equal to GBC , and the angle ACB equal to the angle GCB . PROP . VI . 5 THEOR . The angles which one straight line makes with another upon one side of it , are either two right angles , or are together equal to two right angles . Let ...
... ABC equal to GBC , and the angle ACB equal to the angle GCB . PROP . VI . 5 THEOR . The angles which one straight line makes with another upon one side of it , are either two right angles , or are together equal to two right angles . Let ...
Página 13
... let BE be in the same straight line with it ; therefore , because the straight line AB makes angles with the straight line CBE , upon one side of it , the angles ABC , ABE are to- gether equal ( 6. 1. ) to two right an- gles ; but the ...
... let BE be in the same straight line with it ; therefore , because the straight line AB makes angles with the straight line CBE , upon one side of it , the angles ABC , ABE are to- gether equal ( 6. 1. ) to two right an- gles ; but the ...
Página 14
... ABC . PROP . X. THEOR . G Any two angles of a triangle are together less than two right angles . Let ABC be any triangle ; any two of its angles together are less than two right angles . A Produce BC to D ; and because ACD is the ...
... ABC . PROP . X. THEOR . G Any two angles of a triangle are together less than two right angles . Let ABC be any triangle ; any two of its angles together are less than two right angles . A Produce BC to D ; and because ACD is the ...
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
Información bibliográfica
| Título | 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 Trigonometry |
| Autor | John Playfair |
| Edición | 6 |
| Editor | W.E. Dean, 1836 |
| Largo | 311 páginas |
| Exportar cita | BiBTeX EndNote RefMan |