A school Euclid, being books i. & ii. of Euclid's Elements, with notes by C. Mansford1874 |
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Página 22
... namely , those to which the equal sides are opposite . 1 . A Let ABC , DEF be two triangles which have the 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 ...
... namely , those to which the equal sides are opposite . 1 . A Let ABC , DEF be two triangles which have the 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 ...
Página 23
... namely , the angle ABC to the angle DEF , and the angle ACB to the angle DFE . Therefore , if two triangles , & c . Q.E.D. = The letters Q.E.D. quod erat demonstrandum , which was to be proved , they are usually added at the close of a ...
... namely , the angle ABC to the angle DEF , and the angle ACB to the angle DFE . Therefore , if two triangles , & c . Q.E.D. = The letters Q.E.D. quod erat demonstrandum , which was to be proved , they are usually added at the close of a ...
Página 24
... namely the angle ACF to the angle ABG , and the angle AFC to the angle AGB . [ I. 4. ] And because the whole AF is equal to the whole AG , of which the parts AB , AC are equal , [ Hyp . ] the remainder BF is equal to the remainder CG ...
... namely the angle ACF to the angle ABG , and the angle AFC to the angle AGB . [ I. 4. ] And because the whole AF is equal to the whole AG , of which the parts AB , AC are equal , [ Hyp . ] the remainder BF is equal to the remainder CG ...
Página 28
... 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 . A B For if the triangle ABC be applied to the 2 , 3. triangle DEF , so that the point B may be on E , and the ...
... 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 . A B For if the triangle ABC be applied to the 2 , 3. triangle DEF , so that the point B may be on E , and the ...
Página 43
... namely , A and B greater than C ; A and C greater than B ; and B and C greater than A : it is re- quired to make a triangle of which the sides shall be equal to A , B , C , each to each . A. B C- 2 . Take a straight line DE BOOK I. 22 . 43.
... namely , A and B greater than C ; A and C greater than B ; and B and C greater than A : it is re- quired to make a triangle of which the sides shall be equal to A , B , C , each to each . A. B C- 2 . Take a straight line DE BOOK I. 22 . 43.
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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 CEA axioms base BC 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 less Let ABC Let the straight obtuse opposite angle opposite sides parallel to CD parallelogram parallelogram ABCD perpendicular produced prop 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