A School Euclid. Being Books I.&II. of Euclid's Elements. With Notes, Exercises and Explanations ... By C. Mansford |
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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 х INTRODUCTION .
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 х INTRODUCTION .
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... having the 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 . A 2 . In BD take any point F , BOOK I. 5 .
... having the 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 . A 2 . In BD take any point F , BOOK I. 5 .
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In BD take any 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 equal to the two sides GA ...
In BD take any 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 equal to the two sides GA ...
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Take F in AB , and making AG equal to AF , show that the angles ABC and ACB are equal to one another . 2. Tiie opposite angles of a rhombus are equal to one another . [ Draw the diagonal . ] PROPOSITION 6. THEOREM .
Take F in AB , and making AG equal to AF , show that the angles ABC and ACB are equal to one another . 2. Tiie opposite angles of a rhombus are equal to one another . [ Draw the diagonal . ] PROPOSITION 6. THEOREM .
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Take any point D in AB , 2 . and from AC cut off AE equal to AD [ I. 3 ] ; join DE , and on DE on E the side remote from A describe the equilateral triangle DEF . ( 1. 1. ] Join AF . The straight line AF shall bisect the angle BAC . 3 .
Take any point D in AB , 2 . and from AC cut off AE equal to AD [ I. 3 ] ; join DE , and on DE on E the side remote from A describe the equilateral triangle DEF . ( 1. 1. ] Join AF . The straight line AF shall bisect the angle BAC . 3 .
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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
ABCD AC is equal angle ABC angle ACB angle BAC angle BCD angle EDF angle equal apply axioms base BC bisect BOOK called centre circle coincide common Const construction definitions demonstration describe diagonals diameter difference divided double draw drawn equal sides equilateral triangle Euclid exercise exterior angle fall figure fore geometry given point given rectilineal given straight line gnomon greater half Hence isosceles triangle join length less Let ABC meet method namely opposite angle opposite sides parallel parallel to CD parallelogram perpendicular PROBLEM produced prop PROPOSITION proved quadrilateral reason rectangle contained rectilineal figure result right angles side BC sides square on AC Take THEOREM things triangle ABC true truths twice the rectangle unequal units whole
Información bibliográfica
| Título | A School Euclid. Being Books I.&II. of Euclid's Elements. With Notes, Exercises and Explanations ... By C. Mansford |
| Autor | Euclides |
| Editor | Charles MANSFORD |
| Publicado | 1874 |
| Procedencia del original | Biblioteca Británica |
| Digitalizado | 27 Nov. 2020 |
| Exportar cita | BiBTeX EndNote RefMan |