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 70
1 2 If any point be taken in the diameter of a circle which is not the centre , of all the straight lines which can be druwn froin it to the circumference , the greatest is that in which the centre is , and the other part of that ...
1 2 If any point be taken in the diameter of a circle which is not the centre , of all the straight lines which can be druwn froin it to the circumference , the greatest is that in which the centre is , and the other part of that ...
Página 71
If any point be taken without a circle , and straight lines be drawn from it to the circumference , whereof one passes through the centre ; of those which fall upon the concave circumference , the greatest is thai which passes through ...
If any point be taken without a circle , and straight lines be drawn from it to the circumference , whereof one passes through the centre ; of those which fall upon the concave circumference , the greatest is thai which passes through ...
Página 73
9 If a point be taken within a circle , from which there fall more than two equal straight lines upon the circumference , that point is the centre of the circle , a Let the point D be taken within the circle ABC , from which there fall ...
9 If a point be taken within a circle , from which there fall more than two equal straight lines upon the circumference , that point is the centre of the circle , a Let the point D be taken within the circle ABC , from which there fall ...
Página 92
Let any point D be taken without the circle ABC , and from it let { wo straight lines DCA and DB be drawn , of which DCA cuts the circle , and DB meets it ; if the rectangle AD.DC , be equal to the square of DB , DB touches the circle .
Let any point D be taken without the circle ABC , and from it let { wo straight lines DCA and DB be drawn , of which DCA cuts the circle , and DB meets it ; if the rectangle AD.DC , be equal to the square of DB , DB touches the circle .
Página 101
For since each of the angles ABD and ADB is equal to twice the “ angle BAD , they are together equal to four times BAD , and there" s fore all the three angles ABD , ADB , BAD , taken together , are " equal to five times the angle BAD .
For since each of the angles ABD and ADB is equal to twice the “ angle BAD , they are together equal to four times BAD , and there" s fore all the three angles ABD , ADB , BAD , taken together , are " equal to five times the angle BAD .
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Términos y frases comunes
ABC is equal ABCD altitude angle ABC angle BAC arch base bisected Book called centre circle circle ABC circumference coincide common cylinder definition demonstrated described diameter difference divided double draw drawn equal equal angles equiangular Euclid exterior angle extremity fall fore four fourth given given straight line greater half inscribed interior join less Let ABC magnitudes manner meet multiple opposite parallel parallelogram pass perpendicular plane polygon prism produced PROP proportionals proposition proved radius ratio reason rectangle contained rectilineal figure right angles segment shewn sides similar sine solid square straight line taken tangent THEOR thing third touches 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 | E. Duyckinck, and George Long, 1824 |
| Procedencia del original | Universidad de Indiana |
| Digitalizado | 15 Ene. 2009 |
| Largo | 333 páginas |
| Exportar cita | BiBTeX EndNote RefMan |