A School Euclid. Being Books I.&II. of Euclid's Elements. With Notes, Exercises and Explanations ... By C. Mansford1874 |
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Página 23
... AC coincides with DF . And lastly , from these he shows that BC must coincide with EF . Hence the triangle ABC ... square is divided by its diagonal are equal to one another . 2. The diagonals of a square are equal to one another ...
... AC coincides with DF . And lastly , from these he shows that BC must coincide with EF . Hence the triangle ABC ... square is divided by its diagonal are equal to one another . 2. The diagonals of a square are equal to one another ...
Página 29
... AC must coincide with the sides ED , DF . Therefore also the angle BAC coincides with the angle EDF , and is equal ... square bisect each other at right angles . [ Prop . 4. ] PROPOSITION 9. PROBLEM . To bisect a given rectilineal angle ...
... AC must coincide with the sides ED , DF . Therefore also the angle BAC coincides with the angle EDF , and is equal ... square bisect each other at right angles . [ Prop . 4. ] PROPOSITION 9. PROBLEM . To bisect a given rectilineal angle ...
Página 41
... AC is not equal to AB . Neither is AC less than AB , for then the angle ABC would be less than the angle ACB [ I. 18 ] ... square . Show that the sum of its distances from the four angles is less than the perimeter of the square ...
... AC is not equal to AB . Neither is AC less than AB , for then the angle ABC would be less than the angle ACB [ I. 18 ] ... square . Show that the sum of its distances from the four angles is less than the perimeter of the square ...
Página 74
... square on AB . 2 . From the point A draw C AC at right angles to AB ; [ I. 11. ] and make AD equal to AB ; [ I. 3. ] through D draw DE parallel to AB ; and through B D draw BE parallel to AD . [ I. 31. ] ADEB shall be a square . 3 . For ...
... square on AB . 2 . From the point A draw C AC at right angles to AB ; [ I. 11. ] and make AD equal to AB ; [ I. 3. ] through D draw DE parallel to AB ; and through B D draw BE parallel to AD . [ I. 31. ] ADEB shall be a square . 3 . For ...
Página 75
... squares described on the sides BA , AC . F On BC de2. scribe the square BDEC , and on BA , AC describe the squares GB , HC ; [ I. 46. ] through A draw AL parallel to BD or CE ; [ I. 31. ] and join AD , FC . Then , be3. cause the angle ...
... squares described on the sides BA , AC . F On BC de2. scribe the square BDEC , and on BA , AC describe the squares GB , HC ; [ I. 46. ] through A draw AL parallel to BD or CE ; [ I. 31. ] and join AD , FC . Then , be3. cause the angle ...
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 alternate angles 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 equal sides equilateral triangle Euclid exercise exterior angle fall figure fore geometry given point given rectilineal given straight line gnomon greater 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 remainder 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 |