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 6
... 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 perimeter of the polygon . 17. The polygon of three sides , the simplest of ...
... 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 perimeter of the polygon . 17. The polygon of three sides , the simplest of ...
Página 23
... rectilineal figure are equal to twice as many right angles as the figure has sides , wanting four right angles . D For any rectilineal figure ABCDE can be divided into as many trian- gles as the figure has sides , by drawing straight ...
... rectilineal figure are equal to twice as many right angles as the figure has sides , wanting four right angles . D For any rectilineal figure ABCDE can be divided into as many trian- gles as the figure has sides , by drawing straight ...
Página 24
... figure has sides , wanting four . COR . 1. All the exterior angles of any rectilineal figure are together equal to four right angles . Because every interior an- gle ABC , with its adjacent exterior ABD , is equal ( 6. 1. ) to two right ...
... figure has sides , wanting four . COR . 1. All the exterior angles of any rectilineal figure are together equal to four right angles . Because every interior an- gle ABC , with its adjacent exterior ABD , is equal ( 6. 1. ) to two right ...
Página 40
... triangle C. PROP . XVI . PROB . To describe a parallelogram equivalent to a given rectilineal figure , and having an angle equal to a given rectilineal angle . Let ABCD be the given rectilineal figure , and E the given rectilineal angle ...
... triangle C. PROP . XVI . PROB . To describe a parallelogram equivalent to a given rectilineal figure , and having an angle equal to a given rectilineal angle . Let ABCD be the given rectilineal figure , and E the given rectilineal angle ...
Página 41
... figure . Let ABCDE be the given rectilineal figure . Draw the diagonal CE , cutting off the triangle CDE ; draw DF paral- lel to CE , meeting AE produced , and join CF : the polygon ABCDE will be equivalent to the polygon ABCF , which ...
... figure . Let ABCDE be the given rectilineal figure . Draw the diagonal CE , cutting off the triangle CDE ; draw DF paral- lel to CE , meeting AE produced , and join CF : the polygon ABCDE will be equivalent to the polygon ABCF , which ...
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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 |