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 |
Dentro del libro
Resultados 1-5 de 62
Página 9
... angle BAC be also equal to the angle EDF : then shall the base BC be equal to the base EF ; and the triangle ABC to the triangle DEF ; and the other angles , to which the equal sides are opposite , shall be equal , each to each , viz . the ...
... angle BAC be also equal to the angle EDF : then shall the base BC be equal to the base EF ; and the triangle ABC to the triangle DEF ; and the other angles , to which the equal sides are opposite , shall be equal , each to each , viz . the ...
Página 10
... angle BAC = DEF . PROP . III . THEOR . The angles at the base of an isosceles triangle are equal to one another : namely , those to which the equal sides are opposite . If the triangle ABC have the side AC equal to the side BC : then ...
... angle BAC = DEF . PROP . III . THEOR . The angles at the base of an isosceles triangle are equal to one another : namely , those to which the equal sides are opposite . If the triangle ABC have the side AC equal to the side BC : then ...
Página 11
... BAC to the angle EDF , the angle ABC to DEF , and the angle ACB to DFE . A B с E F G For , conceive the two triangles to be joined together by their longest equal sides ; that is ... angle BGA , and the angle OF GEOMETRY . BOOK I. 11.
... BAC to the angle EDF , the angle ABC to DEF , and the angle ACB to DFE . A B с E F G For , conceive the two triangles to be joined together by their longest equal sides ; that is ... angle BGA , and the angle OF GEOMETRY . BOOK I. 11.
Página 12
... angle CAG equal to the angle CGA , by equal additions , the sum of the two angles BAG , CAG , is equal to the sum of the two angles BGA , CGA , ( Ax . 2. ) that is , the whole an- gle BAC equal to the whole angle BGC . Since , then ...
... angle CAG equal to the angle CGA , by equal additions , the sum of the two angles BAG , CAG , is equal to the sum of the two angles BGA , CGA , ( Ax . 2. ) that is , the whole an- gle BAC equal to the whole angle BGC . Since , then ...
Página 14
... BAC . Join B and E the middle point of the line AC , and produce BE to F , and make EF equal to BE ; join also FC ... angle of the trian- gle ABC , ACD is greater ( 9. 1. ) than the interior and opposite angle ABC ; to each of these ...
... BAC . Join B and E the middle point of the line AC , and produce BE to F , and make EF equal to BE ; join also FC ... angle of the trian- gle ABC , ACD is greater ( 9. 1. ) than the interior and opposite angle ABC ; to each of these ...
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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 |