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 3
The Square , Cube , & c . of a quantity , are expressed by placing a small figure at the right hand of the quantity ... with the proper index annexed ; thus , the square root of 5 is indicated V5 ; V ( AXB ) means the square of the ...
The Square , Cube , & c . of a quantity , are expressed by placing a small figure at the right hand of the quantity ... with the proper index annexed ; thus , the square root of 5 is indicated V5 ; V ( AXB ) means the square of the ...
Página 6
Of four sided figures , a square is that which ha all its sides equal and all its angles right angles . 25. An oblong , or rectangle , is that which has all its angles right angles , but has not all its sides equal . 26.
Of four sided figures , a square is that which ha all its sides equal and all its angles right angles . 25. An oblong , or rectangle , is that which has all its angles right angles , but has not all its sides equal . 26.
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Two figures may be equivalent , though very dissimilar : a circle , for instance , may be equivalent to a square , a triangle to a rectangle . 34. The denomination , equal figures , we shall reserve for such as , when applied to each ...
Two figures may be equivalent , though very dissimilar : a circle , for instance , may be equivalent to a square , a triangle to a rectangle . 34. The denomination , equal figures , we shall reserve for such as , when applied to each ...
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... in the case of the rectangle and the square . Cor . 3. The sum of the angles of a pentagon is equal to two right angles multiplied by 5 — 2 , which amounts to six right angles ; hence , when a pentagon is equiangular , each angle is ...
... in the case of the rectangle and the square . Cor . 3. The sum of the angles of a pentagon is equal to two right angles multiplied by 5 — 2 , which amounts to six right angles ; hence , when a pentagon is equiangular , each angle is ...
Página 30
F In any right angled triangle , the square which is described upon the side subtending the right angle , is equivalent to the squares described upon the sides which contain the right angle . Let ABC be a right angled triangle having ...
F In any right angled triangle , the square which is described upon the side subtending the right angle , is equivalent to the squares described upon the sides which contain the right angle . Let ABC be a right angled triangle having ...
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Términos y frases comunes
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 |