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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A new axiom is also introduced in the room of the 12th , for the purpose of demonstrating more easily some of the properties of parallel lines . In the third Book , the remarks concerning the angles made by a straight line , and the ...
A new axiom is also introduced in the room of the 12th , for the purpose of demonstrating more easily some of the properties of parallel lines . In the third Book , the remarks concerning the angles made by a straight line , and the ...
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... and pursuing the consequences flowing from them till we arrive at the conclusion . This is also called the Method of Composition ; and is that which is commonly used in Geometry . 18. The sign = ( or two parallel lines ) ...
... and pursuing the consequences flowing from them till we arrive at the conclusion . This is also called the Method of Composition ; and is that which is commonly used in Geometry . 18. The sign = ( or two parallel lines ) ...
Página 5
... 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. Two lines are said to be parallel , when OF GEOMETRY . 5 BOOK I.
... 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. Two lines are said to be parallel , when OF GEOMETRY . 5 BOOK I.
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Two lines are said to be parallel , when being situated in the same plane , they cannot meet , how far soever , either way , both of them be produced . 16. A plane figure , terminated on all sides by straight lines , is called a ...
Two lines are said to be parallel , when being situated in the same plane , they cannot meet , how far soever , either way , both of them be produced . 16. A plane figure , terminated on all sides by straight lines , is called a ...
Página 7
A parallelogram , or rhomboid , is that which has its opposite sides parallel , but all its sides are not equal , nor its angles right angles . 28. And , lastly , the trapezoid , only two of whose sides are parallel . 29.
A parallelogram , or rhomboid , is that which has its opposite sides parallel , but all its sides are not equal , nor its angles right angles . 28. And , lastly , the trapezoid , only two of whose sides are parallel . 29.
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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 |
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