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 |
Dentro del libro
Página 5
And this point is called the centre of the circle . 13. A diameter of a circle is a straight line drawn through the centre , and terminated both ways by the circumference . 14. A semicircle is the figure contained by a diameter and the ...
And this point is called the centre of the circle . 13. A diameter of a circle is a straight line drawn through the centre , and terminated both ways by the circumference . 14. A semicircle is the figure contained by a diameter and the ...
Página 7
That a terminated straight line may be produced to any length in a straight line . 3. And that a circle may be described from any centre , at any distance from that centre . AXIOMS . 1. THINGS Which are equal to the same OF GEOMETRY .
That a terminated straight line may be produced to any length in a straight line . 3. And that a circle may be described from any centre , at any distance from that centre . AXIOMS . 1. THINGS Which are equal to the same OF GEOMETRY .
Página 32
From the centre A , at the dis- tance AB , describe ( 3. Postulate ) the circle BCD , and from the cen- tre B , at the distance BA , describe the circle ACE ; and from the point C , in which the circles cut one another , draw the ...
From the centre A , at the dis- tance AB , describe ( 3. Postulate ) the circle BCD , and from the cen- tre B , at the distance BA , describe the circle ACE ; and from the point C , in which the circles cut one another , draw the ...
Página 33
It is required to cut off from AB , the greater , a part equal to C , the less . From the point A draw ( Prob . 2. ) the straight line AD equal to C ; and from the centre A , and at the distance AD , de- scribe ( 3 ...
It is required to cut off from AB , the greater , a part equal to C , the less . From the point A draw ( Prob . 2. ) the straight line AD equal to C ; and from the centre A , and at the distance AD , de- scribe ( 3 ...
Página 35
It is required to draw a straight line perpendicular to AB from the point C. Take any point D upon the other side of AB , and from the centre C at the distance CD , describe ( 3 . Post . ) the circle EGF meeting AB in F , G and bisect ...
It is required to draw a straight line perpendicular to AB from the point C. Take any point D upon the other side of AB , and from the centre C at the distance CD , describe ( 3 . Post . ) the circle EGF meeting AB in F , G and bisect ...
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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 |