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 57
If a straight line drawn through the centre of a circle bisect a straight line in the circle , which does not pass through the centre , it will cut that line at right angles ; and if it cut it at right angles , it will bisect it .
If a straight line drawn through the centre of a circle bisect a straight line in the circle , which does not pass through the centre , it will cut that line at right angles ; and if it cut it at right angles , it will bisect it .
Página 58
If in a circle two straight lines cut one another , which do not both pass through the centre , they do not bisect each other . Let ABCD be a circle , and AC , BD two straight lines in it , which cut one another in the point E , and do ...
If in a circle two straight lines cut one another , which do not both pass through the centre , they do not bisect each other . Let ABCD be a circle , and AC , BD two straight lines in it , which cut one another in the point E , and do ...
Página 61
Through three given points which are not in the same straight line , one circumference of a circle may be made to pass , and but one . Let A , B , C , be three points not in the same straight line : they shall all lie in the same ...
Through three given points which are not in the same straight line , one circumference of a circle may be made to pass , and but one . Let A , B , C , be three points not in the same straight line : they shall all lie in the same ...
Página 62
AL F It is obvious , that besides this , no other circumference can pass through the same points ; for the centre , lying in the perpendicular DF bisecting the chord AB , and at the same time in the perpendicular EF bisecting the chord ...
AL F It is obvious , that besides this , no other circumference can pass through the same points ; for the centre , lying in the perpendicular DF bisecting the chord AB , and at the same time in the perpendicular EF bisecting the chord ...
Página 63
THEOR . . as If two circles touch each other internally , the straight line which joins their centres being produced , will pass through the point of contact . Let the two circles ABC , ADE , touch each other internally in the point A ...
THEOR . . as If two circles touch each other internally , the straight line which joins their centres being produced , will pass through the point of contact . Let the two circles ABC , ADE , touch each other internally in the point A ...
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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 |