A School Euclid. Being Books I.&II. of Euclid's Elements. With Notes, Exercises and Explanations ... By C. Mansford1874 |
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Página 19
... Let AB be the given straight line . It is required to describe an equilateral triangle on AB . From the centre A ... ABC shall be an equilateral triangle . € Because the point A is the centre of the circle 3 . BCD , AC is equal to AB ...
... Let AB be the given straight line . It is required to describe an equilateral triangle on AB . From the centre A ... ABC shall be an equilateral triangle . € Because the point A is the centre of the circle 3 . BCD , AC is equal to AB ...
Página 22
... Let ABC , DEF be two triangles which have the 1 . two sides AB , AC equal to the two sides DE , DF , each to each , namely , AB to DE and AC to DF ; and the angle BAC equal to the angle EDF , the base BC shall be equal to the base EF ...
... Let ABC , DEF be two triangles which have the 1 . two sides AB , AC equal to the two sides DE , DF , each to each , namely , AB to DE and AC to DF ; and the angle BAC equal to the angle EDF , the base BC shall be equal to the base EF ...
Página 23
... ABC coincides with the whole triangle DEF , and is equal to it . [ Ax . 8 ] And the other angles of the one coincide ... Let ABC be an isosceles triangle , having the 1 . side AB equal to the side AC , and let the straight lines AB , AC ...
... ABC coincides with the whole triangle DEF , and is equal to it . [ Ax . 8 ] And the other angles of the one coincide ... Let ABC be an isosceles triangle , having the 1 . side AB equal to the side AC , and let the straight lines AB , AC ...
Página 25
... Let ABC be a triangle , having the angle ABC equal to the angle ACB . The side AC shall be equal to the side AB . A 2 . For if AC be not equal to AB , one of them is greater than the other . Let AB be the greater , and from it cut off ...
... Let ABC be a triangle , having the angle ABC equal to the angle ACB . The side AC shall be equal to the side AB . A 2 . For if AC be not equal to AB , one of them is greater than the other . Let AB be the greater , and from it cut off ...
Página 28
... Let ABC , DEF be two triangles , having the two sides AB , AC equal to the two sides DE , DF , each to each , namely AB to DE and AC to DF , and also the base BC equal to the base EF ; the angle BAC shall be equal to the angle EDF . B ...
... Let ABC , DEF be two triangles , having the two sides AB , AC equal to the two sides DE , DF , each to each , namely AB to DE and AC to DF , and also the base BC equal to the base EF ; the angle BAC shall be equal to the angle EDF . B ...
Otras ediciones - Ver todas
A School Euclid. Being Books I.&II. of Euclid's Elements. With Notes ... Euclides Vista completa - 1874 |
A School Euclid, Being Books I. & II. of Euclid's Elements, with Notes by C ... Euclides Sin vista previa disponible - 2015 |
Términos y frases comunes
AC is equal adjacent angles alternate angles angle ABC angle ACB angle AGH angle BAC angle BCD angle EDF angle equal angles are equal angles CBA axioms base BC BC is equal bisect centre circle coincide Const diagonals diameter double equal sides equal to BC equal to twice equilateral triangle Euclid exterior angle fore four right angles given point given rectilineal angle given straight line gnomon half a right hypotenuse interior and opposite isosceles triangle join Let ABC Let the straight obtuse opposite angle opposite sides parallel to CD parallelogram parallelogram ABCD perpendicular produced prop PROPOSITION quadrilateral rectangle AC rectangle contained remaining angle rhombus right angles right-angled triangle shew side BC sides equal square described square on AC THEOREM third angle triangle ABC triangle DEF truths twice the rectangle unequal