A School Euclid. Being Books I.&II. of Euclid's Elements. With Notes, Exercises and Explanations ... By C. Mansford1874 |
Dentro del libro
Resultados 1-5 de 34
Página 22
... angles shall be equal each to each , to which the equal sides are opposite , namely , the angle ABC to the angle DEF , and the angle ACB to the angle DFE . For if the triangle ABC be applied to the 2 , 3. triangle DEF , so that the ...
... angles shall be equal each to each , to which the equal sides are opposite , namely , the angle ABC to the angle DEF , and the angle ACB to the angle DFE . For if the triangle ABC be applied to the 2 , 3. triangle DEF , so that the ...
Página 24
... opposite , 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 ...
... opposite , 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 ...
Página 25
... angle GCB , which are the angles on the other side of the base . Therefore the angles , & c . Q.E.D. Corollary ... opposite angles of a rhombus are equal to one another . [ Draw the diagonal . ] PROPOSITION 6. THEOREM . If two angles of ...
... angle GCB , which are the angles on the other side of the base . Therefore the angles , & c . Q.E.D. Corollary ... opposite angles of a rhombus are equal to one another . [ Draw the diagonal . ] PROPOSITION 6. THEOREM . If two angles of ...
Página 29
... opposite A D B sides of the base . Let GBC represent the position of DEF , so that BG is the position assumed by DE , and GC the position of DF . Join AG . Then the angle BAG = BGA because BA = BG , and the angle GAC = AGC because AC ...
... opposite A D B sides of the base . Let GBC represent the position of DEF , so that BG is the position assumed by DE , and GC the position of DF . Join AG . Then the angle BAG = BGA because BA = BG , and the angle GAC = AGC because AC ...
Página 30
... angle . It is required A 2 . Take any point D in AB , and from AC cut off AE equal to AD [ I. 3 ] ; join DE , and on ... opposite sides of the same base the straight line joining their vertices will bisect their common base at right ...
... angle . It is required A 2 . Take any point D in AB , and from AC cut off AE equal to AD [ I. 3 ] ; join DE , and on ... opposite sides of the same base the straight line joining their vertices will bisect their common base at right ...
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