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 |
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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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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 |
| Editor | B. & S. Collins; W. E. Dean, printer, 1836 |
| Largo | 311 páginas |
| Exportar cita | BiBTeX EndNote RefMan |