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 4
... angle is the inclination of two straight lines to one another , which meet together , but are not in the same ... ABC , or CBA ; that which is contained by AB , * The definitions marked with inverted commas are different from those of ...
... angle is the inclination of two straight lines to one another , which meet together , but are not in the same ... ABC , or CBA ; that which is contained by AB , * The definitions marked with inverted commas are different from those of ...
Página 9
... angle in the other , the triangles will be identical , or equal in all respects . Let ABC , DEF be two triangles ... ABC to the triangle DEF ; and the other angles , to which the equal sides are opposite , shall be equal , each to each ...
... angle in the other , the triangles will be identical , or equal in all respects . Let ABC , DEF be two triangles ... ABC to the triangle DEF ; and the other angles , to which the equal sides are opposite , shall be equal , each to each ...
Página 10
... ABC have the side AC equal to the side BC : then will the angle B be equal to the angle A. For , conceive the angle C to be bisected , or di- vided into two equal parts by the line CD , mak- ing the angle ACD equal to the angle BCD ...
... ABC have the side AC equal to the side BC : then will the angle B be equal to the angle A. For , conceive the angle C to be bisected , or di- vided into two equal parts by the line CD , mak- ing the angle ACD equal to the angle BCD ...
Página 11
... ABC , DEF , have their three sides respectively equal , that is , the side AB equal to DE , AC to DF , and BC to EF ; then shall the two triangles be identical , or have their angles ... angle BGA , and the angle OF GEOMETRY . BOOK I. 11.
... ABC , DEF , have their three sides respectively equal , that is , the side AB equal to DE , AC to DF , and BC to EF ; then shall the two triangles be identical , or have their angles ... angle BGA , and the angle OF GEOMETRY . BOOK I. 11.
Página 12
... angles BAC , BGC , also equal , the two triangles BAC , BGC or EDF , are identical ( Th . 1. ) and have the other angles equal ; namely , the angle ABC equal to GBC , and the angle ACB equal to the angle GCB . PROP . VI . 5 THEOR . The ...
... angles BAC , BGC , also equal , the two triangles BAC , BGC or EDF , are identical ( Th . 1. ) and have the other angles equal ; namely , the angle ABC equal to GBC , and the angle ACB equal to the angle GCB . PROP . VI . 5 THEOR . The ...
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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 |