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 55
... is said to be farther from the centre . 6. Any portion of the circumference is called an arc . The chord or subtense of an arc is the straight line which joins its two ex- tremities . 7. A straight line is said to be inscribed in ...
... is said to be farther from the centre . 6. Any portion of the circumference is called an arc . The chord or subtense of an arc is the straight line which joins its two ex- tremities . 7. A straight line is said to be inscribed in ...
Página 56
An inscribed triangle , is one which has its three angular points in the circumference . And , generally , an inscribed figure is one , of which all the angles are in the circumference . The circle is said to circumscribe such a figure ...
An inscribed triangle , is one which has its three angular points in the circumference . And , generally , an inscribed figure is one , of which all the angles are in the circumference . The circle is said to circumscribe such a figure ...
Página 71
A ut F E E The opposite angles of any quadrilateral figure inscribed in a circle , are together equal to two right angles . D Let ABCD be a quadrilateral figure in the circle ABCD ; any two of its opposite angles are together equal to ...
A ut F E E The opposite angles of any quadrilateral figure inscribed in a circle , are together equal to two right angles . D Let ABCD be a quadrilateral figure in the circle ABCD ; any two of its opposite angles are together equal to ...
Página 72
It follows , likewise , that a quadrilateral , of which the opposite angles are not equal to two right angles , cannot be inscribed in a circle . PROP . XXIII . THEOR Upon the same straight line , and upon the same side of it , there ...
It follows , likewise , that a quadrilateral , of which the opposite angles are not equal to two right angles , cannot be inscribed in a circle . PROP . XXIII . THEOR Upon the same straight line , and upon the same side of it , there ...
Página 85
1 A RECTILINEAL figure is said to be inscribed in another rectilineal figure , when all the angles of the inscribed figure are upon the sides of the figure in which it is inscribed , each upon each . 2. In like manner , a figure is said ...
1 A RECTILINEAL figure is said to be inscribed in another rectilineal figure , when all the angles of the inscribed figure are upon the sides of the figure in which it is inscribed , each upon each . 2. In like manner , a figure is said ...
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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 |