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 20
If a straight line fall upon two parallel straight lines , it makes the alternate angles equal to one another ; and the exterior angle equal to the interior and opposite upon the same ...
If a straight line fall upon two parallel straight lines , it makes the alternate angles equal to one another ; and the exterior angle equal to the interior and opposite upon the same ...
Página 22
If a side of any triangle be produced , the exterior angle is equal to the two interior and opposite angles ; and the three interior angles of every trian- gle are equal to two right angles . Let ABC be a triangle , and let one of its ...
If a side of any triangle be produced , the exterior angle is equal to the two interior and opposite angles ; and the three interior angles of every trian- gle are equal to two right angles . Let ABC be a triangle , and let one of its ...
Página 23
... and BD falls upon them , the exterior an- gle ECD is equal to the interior and opposite angle ABC , but the angle ACE was shewn to ... to two right angles ; therefore also the angles CBA , BAC , ACB are equal to two right angles .
... and BD falls upon them , the exterior an- gle ECD is equal to the interior and opposite angle ABC , but the angle ACE was shewn to ... to two right angles ; therefore also the angles CBA , BAC , ACB are equal to two right angles .
Página 24
gles of the figure are equal to twice as many right angles as the figure has sides , wanting four . COR . 1. All the exterior angles of any rectilineal figure are together equal to four right angles . Because every interior an- gle ABC ...
gles of the figure are equal to twice as many right angles as the figure has sides , wanting four . COR . 1. All the exterior angles of any rectilineal figure are together equal to four right angles . Because every interior an- gle ABC ...
Página 46
And because CF is parallel to AD , and BD falls upon them , the exterior angle BGC is equal ( 21. 1. ) to the interior and opposite angle ADB ; but ADB is equal ( 3. 1. ) to the angle ABD , because BA is equal to AD , be- ing sides of a ...
And because CF is parallel to AD , and BD falls upon them , the exterior angle BGC is equal ( 21. 1. ) to the interior and opposite angle ADB ; but ADB is equal ( 3. 1. ) to the angle ABD , because BA is equal to AD , be- ing sides of a ...
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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 cosine 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, Elements of Plane and Spherical Trigonometry |
| Autor | John Playfair |
| Edición | 6 |
| Editor | W.E. Dean, 1836 |
| Largo | 311 páginas |
| Exportar cita | BiBTeX EndNote RefMan |