The first six books of the Elements of Euclid, with numerous exercisesIngram, Cooke, 1853 - 147 páginas |
Dentro del libro
Resultados 6-10 de 27
Página 59
Euclides. the circumference , which does not cut the circle ; or , which amounts to the same thing , however great an ... given point , either without or in the circumference , which shall touch a given circle . FIRST , let a be a ...
Euclides. the circumference , which does not cut the circle ; or , which amounts to the same thing , however great an ... given point , either without or in the circumference , which shall touch a given circle . FIRST , let a be a ...
Página 63
... circle being given , to describe the circle of which it is the segment . LET abc be the given segment of a circle ; it is required to describe the circle of which it is the segment . Bisect ( i . 10 ) ac in d , and from the point d draw ...
... circle being given , to describe the circle of which it is the segment . LET abc be the given segment of a circle ; it is required to describe the circle of which it is the segment . Bisect ( i . 10 ) ac in d , and from the point d draw ...
Página 64
... circle being given , the circle is described of which it is a segment . Which was to be done . PROPOSITION XXVI . — THEOREM . In equal circles , equal angles stand upon equal circumferences , whether they be at the centres or ...
... circle being given , the circle is described of which it is a segment . Which was to be done . PROPOSITION XXVI . — THEOREM . In equal circles , equal angles stand upon equal circumferences , whether they be at the centres or ...
Página 66
... circles , & c . Q. E. D. PROPOSITION XXX . - PROBLEM . To bisect a given circumference ; that is , to divide it into two equal parts . LET adb be the given circumference ; it is required to bisect it . Join ab and bisect ( i . 10 ) it ...
... circles , & c . Q. E. D. PROPOSITION XXX . - PROBLEM . To bisect a given circumference ; that is , to divide it into two equal parts . LET adb be the given circumference ; it is required to bisect it . Join ab and bisect ( i . 10 ) it ...
Página 68
... circle , the angles made by this line with the line touching the circle shall be equal to the angles which are in ... given straight line to describe a segment of a circle containing an angle equal to a given rectilineal angle ...
... circle , the angles made by this line with the line touching the circle shall be equal to the angles which are in ... given straight line to describe a segment of a circle containing an angle equal to a given rectilineal angle ...
Otras ediciones - Ver todas
Términos y frases comunes
ac is equal adjacent angles alternate angles angle abc angle acb angle bac angle edf angle equal base bc bisected centre circle abc diameter double draw duplicate ratio equal angles equal straight lines equal to f equimultiples ex æquali exterior angle fore four magnitudes fourth given circle given rectilineal figure given straight line gnomon greater ratio greater than f ILLUSTRATED LONDON inscribe less LET abc LET the straight likewise multiple opposite angle parallel parallelogram perpendicular produced Q. E. D. PROPOSITION rectangle contained remaining angle right angles segment semicircle shewn side bc similar and similarly square of ac straight line ab straight line ac straight line drawn THEOREM tiple touches the circle triangle abc triangle def twice the rectangle