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
... angles are not right angles . 33. A rhomboid is that which has its 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 ...
... angles are not right angles . 33. A rhomboid is that which has its 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 ...
Página 22
... angles shall be equal , each to each , namely , those to which the equal sides are opposite . A Let ABC , DEF be two ... angle BAC equal to the angle EDF , the base BC shall be equal to the base EF , and the triangle ABC to the triangle ...
... angles shall be equal , each to each , namely , those to which the equal sides are opposite . A Let ABC , DEF be two ... angle BAC equal to the angle EDF , the base BC shall be equal to the base EF , and the triangle ABC to the triangle ...
Página 24
... angles of the other , each to each , to which the 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 ...
... angles of the other , each to each , to which the 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 ...
Página 25
... angles on the other side of the base . Therefore the angles , & c . Q.E.D. Corollary . Hence every equilateral ... opposite angles of a rhombus are equal to one another . [ Draw the diagonal . ] PROPOSITION 6. THEOREM . If two angles of ...
... angles on the other side of the base . Therefore the angles , & c . Q.E.D. Corollary . Hence every equilateral ... 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 ... angles through which it passes . Hence show that 2. The diagonals of a square bisect each other at right angles ...
... 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 ... angles through which it passes . Hence show that 2. The diagonals of a square bisect each other at right angles ...
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