A school Euclid, being books i. & ii. of Euclid's Elements, with notes by C. Mansford1874 |
Dentro del libro
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
... angle FAG common to the two tri- angles AFC , AGB ; there- fore the base FC is equal D to the base GB , and the ... opposite , namely the angle ACF to the angle ABG , and the angle AFC to the angle AGB . [ I. 4. ] And because the whole ...
... angle FAG common to the two tri- angles AFC , AGB ; there- fore the base FC is equal D to the base GB , and the ... opposite , namely the angle ACF to the angle ABG , and the angle AFC to the angle AGB . [ I. 4. ] And because the whole ...
Página 25
... opposite angles of a rhombus are equal to one another . [ Draw the diagonal . ] PROPOSITION 6. THEOREM . If two ... angle ABC equal to the angle ACB . The side AC shall be equal to the side AB . For if AC be not equal to 2. AB , one of ...
... opposite angles of a rhombus are equal to one another . [ Draw the diagonal . ] PROPOSITION 6. THEOREM . If two ... angle ABC equal to the angle ACB . The side AC shall be equal to the side AB . For if AC be not equal to 2. AB , one of ...
Página 30
Euclides Charles Mansford. PROPOSITION 9. PROBLEM . To bisect a given rectilineal angle ... angle BAC . 3 . Because AD is equal to AE [ Con . ] , and AF is common to A ... opposite sides of the same base the straight line joining their vertices ...
Euclides Charles Mansford. PROPOSITION 9. PROBLEM . To bisect a given rectilineal angle ... angle BAC . 3 . Because AD is equal to AE [ Con . ] , and AF is common to A ... opposite sides of the same base the straight line joining their vertices ...
Página 35
... angles . For if the angle CBA is equal to the angle ABD , each of them is a right angle . [ Def . 10. ] But if not ... opposite sides of it , make the adjacent angles together equal to two right angles , these two straight lines shall be ...
... angles . For if the angle CBA is equal to the angle ABD , each of them is a right angle . [ Def . 10. ] But if not ... opposite sides of it , make the adjacent angles together equal to two right angles , these two straight lines shall be ...
Otras ediciones - Ver todas
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