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 32
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 straight lines ( 1. Post . ) ...
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 straight lines ( 1. Post . ) ...
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 ...
Página 36
G , at the distance GH , describe ( 3. Post . ) another circle HLK ; and join KF , KG ; the triangle KFG has its sides equal to the three straight lines , A , B , C. Because the point F is the centre of the circle DKL , FD is equal ( 11 ...
G , at the distance GH , describe ( 3. Post . ) another circle HLK ; and join KF , KG ; the triangle KFG has its sides equal to the three straight lines , A , B , C. Because the point F is the centre of the circle DKL , FD is equal ( 11 ...
Página 38
And , if the given angle were right , although two triangles would be formed , yet , as the hypotenuse would meet BC at equal distances from the common perpendicular , these triangles would be equal . Secondly .
And , if the given angle were right , although two triangles would be formed , yet , as the hypotenuse would meet BC at equal distances from the common perpendicular , these triangles would be equal . Secondly .
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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 |