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 ix
termine two straight lines that shall differ very little from one another , not more , for instance , than the four hundred and ninety - seventh part of the diameter of the circle , and of which the one shall be greater than the ...
termine two straight lines that shall differ very little from one another , not more , for instance , than the four hundred and ninety - seventh part of the diameter of the circle , and of which the one shall be greater than the ...
Página 19
A diameter of a circle is a straight line drawn through the centre , and terminated both ways by the circumference . XIV . A semicircle is the figure contained by a diameter and the part of the circumference cut off by the diameter .
A diameter of a circle is a straight line drawn through the centre , and terminated both ways by the circumference . XIV . A semicircle is the figure contained by a diameter and the part of the circumference cut off by the diameter .
Página 43
The opposite sides and angles of a parallelogram are equal to one another , and the diameter bisects it that is , divides it into two equal parts . N. B. A Parallelogram is a four - sided figure , of which the opposite sides are ...
The opposite sides and angles of a parallelogram are equal to one another , and the diameter bisects it that is , divides it into two equal parts . N. B. A Parallelogram is a four - sided figure , of which the opposite sides are ...
Página 44
et деta > 1 : HE OSC but the triangle ABC is the half of the parallelogram EBCA , because the diameter AB bisects ( 34. 1. ) it ; and the triangle DBC is the half of the parallelogram DBCF , because the diameter DC bisects it ; and the ...
et деta > 1 : HE OSC but the triangle ABC is the half of the parallelogram EBCA , because the diameter AB bisects ( 34. 1. ) it ; and the triangle DBC is the half of the parallelogram DBCF , because the diameter DC bisects it ; and the ...
Página 45
of the triangle ABC , because the diameter AC divides it into two equal parts ; where . B fore ABCD is also double of the triangle EBC . Therefore , if a parallelogram , & c . Q. E. D. 2 PROP . XLII . PROB , To describe a parallelogram ...
of the triangle ABC , because the diameter AC divides it into two equal parts ; where . B fore ABCD is also double of the triangle EBC . Therefore , if a parallelogram , & c . Q. E. D. 2 PROP . XLII . PROB , To describe a parallelogram ...
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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 |