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 |
Dentro del libro
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 ...
Comentarios de la gente - Escribir un comentario
No encontramos ningún comentario en los lugares habituales.
Otras ediciones - Ver todas
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
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 |