A school Euclid, being books i. & ii. of Euclid's Elements, with notes by C. Mansford1874 |
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... most con- vincing way . Such a syllogism generally takes the following form , which may therefore be regarded as the pattern of all geometrical reasoning . 1. All right angles are equal to one another . X INTRODUCTION .
... most con- vincing way . Such a syllogism generally takes the following form , which may therefore be regarded as the pattern of all geometrical reasoning . 1. All right angles are equal to one another . X INTRODUCTION .
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... having the 1. side AB equal to the side AC , and let the straight lines AB , AC be produced to D and E ; the angle ABC shall be equal to the angle ACB , and the angle CBD to the angle BCE . In BD take any 2 . point F , and BOOK I. 5 . 23.
... having the 1. side AB equal to the side AC , and let the straight lines AB , AC be produced to D and E ; the angle ABC shall be equal to the angle ACB , and the angle CBD to the angle BCE . In BD take any 2 . point F , and BOOK I. 5 . 23.
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Euclides Charles Mansford. In BD take any 2 . point F , and from AE the greater cut off AG equal to AF the less , [ I.3 . ] and join FC , GB . Because A Fis equal 3. to AG , [ Con . ] and AB to AC , [ Hyp . ] the two sides FA , AC are ...
Euclides Charles Mansford. In BD take any 2 . point F , and from AE the greater cut off AG equal to AF the less , [ I.3 . ] and join FC , GB . Because A Fis equal 3. to AG , [ Con . ] and AB to AC , [ Hyp . ] the two sides FA , AC are ...
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... Take Fin AB , and making AG equal to AF , show that the angles ABC and ACB are equal to one another . 2. The opposite angles of a rhombus are equal to one another . [ Draw the diagonal . ] PROPOSITION 6. THEOREM . If two angles of a ...
... Take Fin AB , and making AG equal to AF , show that the angles ABC and ACB are equal to one another . 2. The opposite angles of a rhombus are equal to one another . [ Draw the diagonal . ] PROPOSITION 6. THEOREM . If two angles of a ...
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... Take any point D in AB , and from AC cut off AE equal to AD [ I. 3 ] ; join DE , and on DE on the side remote from A describe the equilateral triangle DEF . [ I. 1. ] Join AF . The straight line AF shall bi- sect the angle BAC . 3 ...
... Take any point D in AB , and from AC cut off AE equal to AD [ I. 3 ] ; join DE , and on DE on the side remote from A describe the equilateral triangle DEF . [ I. 1. ] Join AF . The straight line AF shall bi- sect the angle BAC . 3 ...
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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