A School Euclid. Being Books I.&II. of Euclid's Elements. With Notes, Exercises and Explanations ... By C. Mansford |
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Página 29
The diagonal of a rhombus bisects each of the angles through which it passes . Hence show that 2. The diagon : rls of a square bisect cach other at right angles . [ Prop . 4. ] PROPOSITION 9. PROBLEM . To bisect a given rectilineal ...
The diagonal of a rhombus bisects each of the angles through which it passes . Hence show that 2. The diagon : rls of a square bisect cach other at right angles . [ Prop . 4. ] PROPOSITION 9. PROBLEM . To bisect a given rectilineal ...
Página 30
To bisect a given rectilineal angle , that is to divide it into two equal angles . Let BAC be the given recti- . A 1 . lineal angle . It is required to bisect it . Take any point D in AB , 2 . and from AC cut off AE equal to AD [ I. 3 ] ...
To bisect a given rectilineal angle , that is to divide it into two equal angles . Let BAC be the given recti- . A 1 . lineal angle . It is required to bisect it . Take any point D in AB , 2 . and from AC cut off AE equal to AD [ I. 3 ] ...
Página 45
Having given a side and one of the diagonals of a rhombus , show how to construct it . PROPOSITION 23. PROBLEM . А At a given point in a given straight line , to make a rectilineal angle equal to a given rectilineal angle . 1 .
Having given a side and one of the diagonals of a rhombus , show how to construct it . PROPOSITION 23. PROBLEM . А At a given point in a given straight line , to make a rectilineal angle equal to a given rectilineal angle . 1 .
Página 69
Let ABC be the given triangle , and D the given 1 . rectilineal angle : it is required to describe a parallelogram that shall be equal to the given triangle ABC , and have one of its angles equal to D. A F l B E с Bisect BC in E : [ I.
Let ABC be the given triangle , and D the given 1 . rectilineal angle : it is required to describe a parallelogram that shall be equal to the given triangle ABC , and have one of its angles equal to D. A F l B E с Bisect BC in E : [ I.
Página 71
To a given straight line to apply a parallelogram , which shall be equal to a given triangle , and have one of its angles equal to a given rectilineal angle . 1 . Let AB be the given straight line , and C the given triangle , and D the ...
To a given straight line to apply a parallelogram , which shall be equal to a given triangle , and have one of its angles equal to a given rectilineal angle . 1 . Let AB be the given straight line , and C the given triangle , and D the ...
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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
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 |