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 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
... base , and divides that base into two equal parts . In a triangle which is not isosceles , any side may be assumed indifferent- ly as the base ; and the vertex is , in that case , the vertex of the opposite an- gle . In an isosceles ...
... base , and divides that base into two equal parts . In a triangle which is not isosceles , any side may be assumed indifferent- ly as the base ; and the vertex is , in that case , the vertex of the opposite an- gle . In an isosceles ...
Página 11
... base DC is equal to the base AB , and the area of the trian- gle DBC is equal to that of the triangle ( 1. 1. ) ACB , the less to the greater ; which is absurd . Therefore , AB is not unequal to AC , that is , it is equal to it . B D ...
... base DC is equal to the base AB , and the area of the trian- gle DBC is equal to that of the triangle ( 1. 1. ) ACB , the less to the greater ; which is absurd . Therefore , AB is not unequal to AC , that is , it is equal to it . B D ...
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 the remaining angles each to each , to which the equal sides are opposite ; wherefore the angle BAE is equal to 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 the remaining angles each to each , to which the equal sides are opposite ; wherefore the angle BAE is equal to the ...
Página 16
... base of that which has the greater angle shall be greater than the base of the other . Let ABC , DEF be two triangles which have the two sides AB , AC equal to the two DE , DF each to each , viz . AB equal to DE , and AC to DF ; but the ...
... base of that which has the greater angle shall be greater than the base of the other . Let ABC , DEF be two triangles which have the two sides AB , AC equal to the two DE , DF each to each , viz . AB equal to DE , and AC to DF ; but the ...
Otras ediciones - Ver todas
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