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
... 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 that which has three equal sides . 19. An isosceles triangle is that which has only ...
... 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 that which has three equal sides . 19. An isosceles triangle is that which has only ...
Página 7
... 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. An equilateral polygon , is ...
... 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. An equilateral polygon , is ...
Página 13
... four right angles . COR . 2. And hence , all the angles made by any number of straight lines meeting in one point , are together equal to four right angles . PROP . IX . THEOR . If one side of a triangle be produced , the exterior angle ...
... four right angles . COR . 2. And hence , all the angles made by any number of straight lines meeting in one point , are together equal to four right angles . PROP . IX . THEOR . If one side of a triangle be produced , the exterior angle ...
Página 21
... four obtuse angles EGB , AGH , GHD , CHF . It may be also observed , that , in adding one of the acute angles to one ... four angles KGH , HGL , CHG , GHD are together equal to four right angles ( 6. 1. ) of which the two , KGH , CHG ...
... four obtuse angles EGB , AGH , GHD , CHF . It may be also observed , that , in adding one of the acute angles to one ... four angles KGH , HGL , CHG , GHD are together equal to four right angles ( 6. 1. ) of which the two , KGH , CHG ...
Página 23
... four right angles . D For any rectilineal figure ABCDE can be divided into as many trian- gles as the figure has ... four right angles . Therefore , twice as many right angles as the figure has sides , are equal to all the angles of the ...
... four right angles . D For any rectilineal figure ABCDE can be divided into as many trian- gles as the figure has ... four right angles . Therefore , twice as many right angles as the figure has sides , are equal to all the angles of the ...
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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