A School Euclid. Being Books I.&II. of Euclid's Elements. With Notes, Exercises and Explanations ... By C. Mansford1874 |
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Página 17
... opposite sides equal to one another , but all its sides are not equal , nor its angles right angles . 34. Any four - sided figure is called a Quadrilateral . 35. Parallel straight lines are such as are in the same plane , and which ...
... opposite sides equal to one another , but all its sides are not equal , nor its angles right angles . 34. Any four - sided figure is called a Quadrilateral . 35. Parallel straight lines are such as are in the same plane , and which ...
Página 22
... sides equal to one another , they shall also have their bases , or third sides equal ; and the two triangles shall be equal , and their other angles shall be equal , each to each , namely , those to which the equal sides are opposite ...
... sides equal to one another , they shall also have their bases , or third sides equal ; and the two triangles shall be equal , and their other angles shall be equal , each to each , namely , those to which the equal sides are opposite ...
Página 24
... sides are 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 ...
... sides are 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 ...
Página 25
... opposite angles of a rhombus are equal to one another . [ Draw the diagonal . ] PROPOSITION 6. THEOREM . If two angles of a triangle be equal to one another , the sides also which subtend , or are opposite to , the equal angles , shall ...
... opposite angles of a rhombus are equal to one another . [ Draw the diagonal . ] PROPOSITION 6. THEOREM . If two angles of a triangle be equal to one another , the sides also which subtend , or are opposite to , the equal angles , shall ...
Página 29
... sides BA , CA do not coincide with the sides ED , FD , but have a different situation as EG , FG ; then on the same ... opposite A D B sides of the base . Let GBC represent the position of DEF , so that BG is the position assumed by DE ...
... sides BA , CA do not coincide with the sides ED , FD , but have a different situation as EG , FG ; then on the same ... opposite A D B sides of the base . Let GBC represent the position of DEF , so that BG is the position assumed by DE ...
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