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 71
Página 9
... 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 ABC to the angle DEF , and the angle ACB . to ...
... 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 ABC to the angle DEF , and the angle ACB . to ...
Página 10
... BC = EF , B = E , and C = F , it may be inferred that the other three are equal also ; that is , AB = DE , AC = DF , and the angle BAC = DEF . PROP . III . THEOR . The angles at the base of an isosceles triangle are equal to one another ...
... BC = EF , B = E , and C = F , it may be inferred that the other three are equal also ; that is , AB = DE , AC = DF , and the angle BAC = DEF . PROP . III . THEOR . The angles at the base of an isosceles triangle are equal to one another ...
Página 11
... BC common to both , the two sides DB , BC are equal to the two AC , CB , each to each ; but the angle DBC is also equal to the angle ACB ; therefore the base DC is equal to the base AB , and the area of the trian- gle DBC is equal to ...
... BC common to both , the two sides DB , BC are equal to the two AC , CB , each to each ; but the angle DBC is also equal to the angle ACB ; therefore the base DC is equal to the base AB , and the area of the trian- gle DBC is equal to ...
Página 14
... base AB is equal ( 1. 1. ) to the base CF , and the trian- gle AEB to the triangle CEF , and the remaining angles to ... BC be bisected , it may be demonstrated that the angle BCG , that is ( 8. 1. ) the angle ACD , is greater than the ...
... base AB is equal ( 1. 1. ) to the base CF , and the trian- gle AEB to the triangle CEF , and the remaining angles to ... BC be bisected , it may be demonstrated that the angle BCG , that is ( 8. 1. ) the angle ACD , is greater than the ...
Página 16
... BC . In the same manner it may be demonstrated , that the sides AB , BC are greater than CA , and BC , CĂ greater ... base of that which has the greater angle shall be greater than the base of the other . Let ABC , DEF be two triangles ...
... BC . In the same manner it may be demonstrated , that the sides AB , BC are greater than CA , and BC , CĂ greater ... base of that which has the greater angle shall be greater than the base of the other . Let ABC , DEF be two triangles ...
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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 |