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 |
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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 part of the circumference cut off by the diameter . 15.
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 part of the circumference cut off by the diameter . 15.
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Let ACDB be a parallelogram , of which BC is a diameter ; the opposite sides and angles of the figure are equal to one another ; and the diameter BC bisects it . Because AB is parallel to CD , and BC meets 4 OF GEOMETRY . BOOK I. 25.
Let ACDB be a parallelogram , of which BC is a diameter ; the opposite sides and angles of the figure are equal to one another ; and the diameter BC bisects it . Because AB is parallel to CD , and BC meets 4 OF GEOMETRY . BOOK I. 25.
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to the triangle BCD , and the diameter BC di- vides the parallelogram ACDB into two equal parts . COR . 1 . equal . Two parallel lines , included between two other parallels , are COR . 2. If one angle of a parallelogram be a right ...
to the triangle BCD , and the diameter BC di- vides the parallelogram ACDB into two equal parts . COR . 1 . equal . Two parallel lines , included between two other parallels , are COR . 2. If one angle of a parallelogram be a right ...
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to DBCF , because they are upon the same base BC , and between the same pa- E A D F B rallels BC , EF ; but the triangle ABC is the half of the parallelogram EBCA , because the diameter AB bisects ( 28. 1. ) it ; and the triangle DBC is ...
to DBCF , because they are upon the same base BC , and between the same pa- E A D F B rallels BC , EF ; but the triangle ABC is the half of the parallelogram EBCA , because the diameter AB bisects ( 28. 1. ) it ; and the triangle DBC is ...
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But the parallel- ogram ABCD is double ( 28. 1. ) of the trian- gle ABC , because the diameter AC divides A B D E C it into two equal parts ; wherefore ABCD is also double of the triangle EBC . PROP . XXXVI . THEOR .
But the parallel- ogram ABCD is double ( 28. 1. ) of the trian- gle ABC , because the diameter AC divides A B D E C it into two equal parts ; wherefore ABCD is also double of the triangle EBC . PROP . XXXVI . THEOR .
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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 |