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 TrigonometryB. & S. Collins; W. E. Dean, printer, 1836 - 311 páginas |
Dentro del libro
Resultados 6-10 de 100
Página 15
... ABC greater than ACB . B PROP . XII . THEOR . The greater angle of every triangle is subtended by the greater side , or has the greater side opposite to it . Let ABC be a triangle , of which the angle ABC is greater than the an- gle BCA ...
... ABC greater than ACB . B PROP . XII . THEOR . The greater angle of every triangle is subtended by the greater side , or has the greater side opposite to it . Let ABC be a triangle , of which the angle ABC is greater than the an- gle BCA ...
Página 16
... 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 angle BAC greater than the angle EDF ; the base BC is also greater than the base EF ...
... 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 angle BAC greater than the angle EDF ; the base BC is also greater than the base EF ...
Página 17
... Let ABC , DEF be two triangles which have the two sides , AB , AC , equal to the two sides DE , DF , each to each , viz . AB equal to DE , and AC to DF : but let the base CB be greater than the base EF , the angle BAC is likewise ...
... Let ABC , DEF be two triangles which have the two sides , AB , AC , equal to the two sides DE , DF , each to each , viz . AB equal to DE , and AC to DF : but let the base CB be greater than the base EF , the angle BAC is likewise ...
Página 19
... ABC and DEF are equal . PROP . XIX . THEOR . If a straight line falling upon two other straight lines makes the alternate angles equal to one another , these two straight lines are parallel . Let the straight line EF , which falls upon ...
... ABC and DEF are equal . PROP . XIX . THEOR . If a straight line falling upon two other straight lines makes the alternate angles equal to one another , these two straight lines are parallel . Let the straight line EF , which falls upon ...
Página 22
... Let ABC be a triangle , and let one of its sides BC be produced to D ; the exterior angle ACD is equal to the two interior and opposite angles CAB , ABC ; and the three interior angles of the triangle , viz . ABC , BČA , CAB , are ...
... Let ABC be a triangle , and let one of its sides BC be produced to D ; the exterior angle ACD is equal to the two interior and opposite angles CAB , ABC ; and the three interior angles of the triangle , viz . ABC , BČA , CAB , are ...
Otras ediciones - Ver todas
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 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