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 TrigonometryW.E. Dean, 1836 - 311 páginas |
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... straight line . 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 re- marks concerning the angles made by a straight ...
... straight line . 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 re- marks concerning the angles made by a straight ...
Página 18
... given point A , to the inde- finite straight line DE , of which AB is perpendicular ; then shall the per- pendicular AB ... straight line ; for if there could , we should have two equal oblique lines on the same side of the perpendicular ...
... given point A , to the inde- finite straight line DE , of which AB is perpendicular ; then shall the per- pendicular AB ... straight line ; for if there could , we should have two equal oblique lines on the same side of the perpendicular ...
Página 21
... given point G , no more than one line can be drawn parallel to a given line CD . For there is but one line AB , which makes the sum of the two angles AGH , GHC , equal to two right ... straight line GHK cut AB , EF , OF GEOMETRY . BOOK I. 21.
... given point G , no more than one line can be drawn parallel to a given line CD . For there is but one line AB , which makes the sum of the two angles AGH , GHC , equal to two right ... straight line GHK cut AB , EF , OF GEOMETRY . BOOK I. 21.
Página 23
... straight line AB ; and because AB is parallel to CE , and AC meets them , the al- ternate angles BAC , ACE are equal ... given , or merely their sum , the third will be found by subtracting that sum from two right angles . COR . 2. If ...
... straight line AB ; and because AB is parallel to CE , and AC meets them , the al- ternate angles BAC , ACE are equal ... given , or merely their sum , the third will be found by subtracting that sum from two right angles . COR . 2. If ...
Página 32
... line . Let A be the given point , and BC the gi- ven straight line ; it is required to draw , from the point A , a ... straight lines DA , DB , to E and F ; from the centre B , at the distance BC , describe ( 3. Post . ) the circle CGH ...
... line . Let A be the given point , and BC the gi- ven straight line ; it is required to draw , from the point A , a ... straight lines DA , DB , to E and F ; from the centre B , at the distance BC , describe ( 3. Post . ) the circle CGH ...
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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
ABC is equal ABCD adjacent angles altitude angle ABC angle ACB angle BAC angles equal base BC bisected centre chord circle ABC circumference cosine cylinder demonstrated diameter divided draw Prob equal and similar equal angles equiangular equilateral equilateral polygon equimultiples Euclid exterior angle fore four right angles given straight line greater Hence hypotenuse inscribed join less Let ABC Let the straight magnitudes meet multiple opposite angle parallel parallelogram parallelopiped perpendicular polygon prism PROP proposition quadrilateral radius ratio rectangle contained rectilineal figure remaining angle right angled triangle SCHOLIUM segment semicircle shewn side BC sine solid angle solid parallelopiped spherical angle spherical triangle square straight line BC THEOR third touches the circle triangle ABC triangle DEF wherefore
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 |