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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Página 68
... circle , and therefore the straight B line AG cuts the circle . COR . 1. From this it is manifest , that the straight line which is drawn at right angles to the diameter of a circle from the extremity C G E H A of it , touches the circle ...
... circle , and therefore the straight B line AG cuts the circle . COR . 1. From this it is manifest , that the straight line which is drawn at right angles to the diameter of a circle from the extremity C G E H A of it , touches the circle ...
Página 70
... Circle, and the Geometry of Solids; to which are Added, Elements of Plane and Spherical Trigonometry John Playfair. For , if not , let F be the centre , if possible , and join CF. Because DE touches the cir- cle ABC , and FC is drawn ...
... Circle, and the Geometry of Solids; to which are Added, Elements of Plane and Spherical Trigonometry John Playfair. For , if not , let F be the centre , if possible , and join CF. Because DE touches the cir- cle ABC , and FC is drawn ...
Página 76
... touches the circle , shall be equal to the angles in the alternate segments of the circle . Let the straight line EF touch the circle ABCD in B , and from the point B let the straight line BD be drawn cutting the circle : The angles ...
... touches the circle , shall be equal to the angles in the alternate segments of the circle . Let the straight line EF touch the circle ABCD in B , and from the point B let the straight line BD be drawn cutting the circle : The angles ...
Página 77
... circle ABCD ; join AF : and because BD , through the centre , cuts the straight line AC , which does not pass ... touches it ; the rectangle contained by the whole line which cuts the circle , and the part of it without the circle , is ...
... circle ABCD ; join AF : and because BD , through the centre , cuts the straight line AC , which does not pass ... touches it ; the rectangle contained by the whole line which cuts the circle , and the part of it without the circle , is ...
Página 78
... Circle, and the Geometry of Solids; to which are Added, Elements of Plane and Spherical Trigonometry John Playfair ... touches the circle . COR . 2. It follows , moreover , that two tan- gents drawn from the same point are equal . COR ...
... Circle, and the Geometry of Solids; to which are Added, Elements of Plane and Spherical Trigonometry John Playfair ... touches the circle . COR . 2. It follows , moreover , that two tan- gents drawn from the same point are equal . COR ...
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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 |