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, Edlemnts of Plane and Spherical Trigonometry |
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Página 6
The polygon of three sides , the simplest of all , is called a triangle ; that of four sides , a quadrilateral ; that of five , a pentagon ; that of six , a hexagon ; and so on . 18. Of three sided figures , an equilateral triangle is ...
The polygon of three sides , the simplest of all , is called a triangle ; that of four sides , a quadrilateral ; that of five , a pentagon ; that of six , a hexagon ; and so on . 18. Of three sided figures , an equilateral triangle is ...
Página 7
All other four sided figures are usually called trapeziums . 30. A diagonal is a line which joins the vertices of two angles not adjacent to each other . Thus , BC , in the diagram of Theor . 27. is a diagonal . 31.
All other four sided figures are usually called trapeziums . 30. A diagonal is a line which joins the vertices of two angles not adjacent to each other . Thus , BC , in the diagram of Theor . 27. is a diagonal . 31.
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From this it is manifest , that if two straight lines cut one ano- ther , the angles which they make at the point of their intersection , are to- gether equal to four right angles . COR . 2. And hence , all the angles made by any number ...
From this it is manifest , that if two straight lines cut one ano- ther , the angles which they make at the point of their intersection , are to- gether equal to four right angles . COR . 2. And hence , all the angles made by any number ...
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Since AGE = BGH , and DHF = CHG ; hence the four acute angles BGH , AGE , GHC , DHF , are equal to each other . The same is the case with the four obtuse angles EGB , AGH , GHD , CHF . It may be also observed , that , in adding one of ...
Since AGE = BGH , and DHF = CHG ; hence the four acute angles BGH , AGE , GHC , DHF , are equal to each other . The same is the case with the four obtuse angles EGB , AGH , GHD , CHF . It may be also observed , that , in adding one of ...
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All the interior angles of any 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 ...
All the interior angles of any 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 ...
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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
ABCD altitude angle ABC angle BAC base bisected Book called centre chord circle circumference coincide common consequently construction cylinder definition demonstrated described diameter difference divided double draw drawn equal equal angles equiangular equilateral Euclid exterior angle extremities fall fore four fourth given given straight line greater half Hence inscribed interior join less Let ABC magnitudes manner meet multiple opposite parallel parallelogram pass perpendicular plane polygon prism Prob produced PROP proportional proposition proved radius ratio reason rectangle contained rectilineal figure remaining right angles segment shewn sides similar sine solid spherical square straight line taken tangent THEOR third touch triangle ABC wherefore whole
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, Edlemnts of Plane and Spherical Trigonometry |
| Autor | John Playfair |
| Edición | 6 |
| Editor | W.E. Dean, 1836 |
| Largo | 311 páginas |
| Exportar cita | BiBTeX EndNote RefMan |