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
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 CBA axioms base BC BC is equal 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 Let ABC Let the straight obtuse opposite angle opposite sides parallel to CD parallelogram parallelogram ABCD perpendicular produced prop PROPOSITION 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