A school Euclid, being books i. & ii. of Euclid's Elements, with notes by C. Mansford1874 |
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Página 30
Euclides Charles Mansford. PROPOSITION 9. PROBLEM . To bisect a given rectilineal angle , that is to divide it into two equal angles ... opposite sides of the same base the straight line joining their vertices will bisect their common base at ...
Euclides Charles Mansford. PROPOSITION 9. PROBLEM . To bisect a given rectilineal angle , that is to divide it into two equal angles ... opposite sides of the same base the straight line joining their vertices will bisect their common base at ...
Página 35
... angles to CD [ I. 11 ] ; therefore , the angles CBE , EBD are two right angles . [ Def . 10. ] Then because the ... opposite sides of it , make the adjacent angles together equal to two right angles , these two straight lines shall be in ...
... angles to CD [ I. 11 ] ; therefore , the angles CBE , EBD are two right angles . [ Def . 10. ] Then because the ... opposite sides of it , make the adjacent angles together equal to two right angles , these two straight lines shall be in ...
Página 36
... opposite sides of AB , make the adjacent angles ABC , ABD together equal to two right angles : BD shall be in the ... angle ABC , and the remaining angle ABE is equal to the remaining angle ABD , [ Ax . 3. ] the less to the greater ...
... opposite sides of AB , make the adjacent angles ABC , ABD together equal to two right angles : BD shall be in the ... angle ABC , and the remaining angle ABE is equal to the remaining angle ABD , [ Ax . 3. ] the less to the greater ...
Página 37
... opposite , angles shall be equal . Let the two 1 . straightlines AB , CD cut one A another in the point E ; the angle AEC D shall be equal to the angle DEB , and the angle CEB to the angle AED . 3 . Because the straight line AE makes ...
... opposite , angles shall be equal . Let the two 1 . straightlines AB , CD cut one A another in the point E ; the angle AEC D shall be equal to the angle DEB , and the angle CEB to the angle AED . 3 . Because the straight line AE makes ...
Página 38
... opposite angles . Let ABC be a triangle , and let one side BC be 1 . produced to D : the exterior angle ACD shall be greater than either of the interior opposite angles СВА , ВАС . 2 . Bisect AC in E , [ I. 10. ] join BE and produce it ...
... opposite angles . Let ABC be a triangle , and let one side BC be 1 . produced to D : the exterior angle ACD shall be greater than either of the interior opposite angles СВА , ВАС . 2 . Bisect AC in E , [ I. 10. ] join BE and produce it ...
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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