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
A plane 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 ...
A plane 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 ...
Página 7
A parallelogram , or rhomboid , is that which has its opposite sides parallel , but all its sides are not equal , nor its angles right angles . 28. And , lastly , the trapezoid , only two of whose sides are parallel . 29.
A parallelogram , or rhomboid , is that which has its opposite sides parallel , but all its sides are not equal , nor its angles right angles . 28. And , lastly , the trapezoid , only two of whose sides are parallel . 29.
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A A D If two triangles have tuo sides and the included angle in the one , equal to two sides and the included angle in the other , the triangles will be identical , or equal in all respects . Let ABC , DEF be two triangles which have ...
A A D If two triangles have tuo sides and the included angle in the one , equal to two sides and the included angle in the other , the triangles will be identical , or equal in all respects . Let ABC , DEF be two triangles which have ...
Página 10
The angles at the base of an isosceles triangle are equal to one another : namely , those to which the equal sides are opposite . If the triangle ABC have the side AC equal to the side BC : then will the angle B be equal to the angle A.
The angles at the base of an isosceles triangle are equal to one another : namely , those to which the equal sides are opposite . If the triangle ABC have the side AC equal to the side BC : then will the angle B be equal to the angle A.
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When two triangles have all the three sides in the one , equal to all the three sides in the uther ... Let the two triangles ABC , DEF , have their three sides respectively equal , that is , the side AB equal to DE , AC to DF , and BC ...
When two triangles have all the three sides in the one , equal to all the three sides in the uther ... Let the two triangles ABC , DEF , have their three sides respectively equal , that is , the side AB equal to DE , AC to DF , and BC ...
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ABCD altitude angle ABC angle BAC base bisected Book called centre chord circle circumference coincide common consequently construction cosine cylinder definition demonstrated described diameter difference distance 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 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, Elements of Plane and Spherical Trigonometry |
| Autor | John Playfair |
| Editor | W. E. Dean, 1836 |
| Largo | 311 páginas |
| Exportar cita | BiBTeX EndNote RefMan |