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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The extremities of a line are points ; and the intersections " of one line with another are also points . ... such that they cannot coincide in any two points , without coinciding altogether , each of them is called a straight line .
The extremities of a line are points ; and the intersections " of one line with another are also points . ... such that they cannot coincide in any two points , without coinciding altogether , each of them is called a straight line .
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When a straight line standing on another straight line makes the adjacent angles equal to one another , each of the angles is called a right angle ; and the straight line which stands on the other , is called a perpendicular to it . 8.
When a straight line standing on another straight line makes the adjacent angles equal to one another , each of the angles is called a right angle ; and the straight line which stands on the other , is called a perpendicular to it . 8.
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A diagonal is a line which joins the vertices of two angles not adjacent to each other . Thus , BC , in the diagram of Theor . 27. is a diagonal . 31. An equilateral polygon , is one which has all its sides equal ; an equiangular ...
A diagonal is a line which joins the vertices of two angles not adjacent to each other . Thus , BC , in the diagram of Theor . 27. is a diagonal . 31. An equilateral polygon , is one which has all its sides equal ; an equiangular ...
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Containing the First Six Books of Euclid, with a Supplement on the Quadrature of the Circle, and the Geometry of Solids ... The angles which one straight line makes with another upon one side of it , are either two right angles , or are ...
Containing the First Six Books of Euclid, with a Supplement on the Quadrature of the Circle, and the Geometry of Solids ... The angles which one straight line makes with another upon one side of it , are either two right angles , or are ...
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For if BD be not in the same straight line with CB , let BE be in the same straight lire with it ; therefore , because the straight line AB makes angles with the straight line CBE , upon one side of it , the angles ABC , ABE are ...
For if BD be not in the same straight line with CB , let BE be in the same straight lire with it ; therefore , because the straight line AB makes angles with the straight line CBE , upon one side of it , the angles ABC , ABE are ...
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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 |