The first six books of the Elements of Euclid, with numerous exercises |
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Αποτελέσματα 6 - 10 από τα 25.
Σελίδα 31
From this it is manifest how to a given straight line to apply a parallelogram , which shall have an angle equal to a given rectilineal angle , and shall be equal to a given rectilineal figure , viz . by applying ( i .
From this it is manifest how to a given straight line to apply a parallelogram , which shall have an angle equal to a given rectilineal angle , and shall be equal to a given rectilineal figure , viz . by applying ( i .
Σελίδα 33
13. Given a finite straight line to describe a square of which that line shall be the diameter . 14. To construct a triangle that shall be equal to any given rectilineal . figure . D. SECT . II . — THEOREMS . 15. There cannot Exercises.
13. Given a finite straight line to describe a square of which that line shall be the diameter . 14. To construct a triangle that shall be equal to any given rectilineal . figure . D. SECT . II . — THEOREMS . 15. There cannot Exercises.
Σελίδα 45
LET a be the given rectilineal figure ; it is required to describe a square that shall be equal to a . Describe ( i . 45 ) the rectangular parallelogram bcde equal to the rectilineal figure a . If then the sides of it , be , ed , are ...
LET a be the given rectilineal figure ; it is required to describe a square that shall be equal to a . Describe ( i . 45 ) the rectangular parallelogram bcde equal to the rectilineal figure a . If then the sides of it , be , ed , are ...
Σελίδα 68
... a bed is a quadrilateral figure in a circle , the opposite angles bad , bcd are equal to two right angles ( iii . ... Upon a given straight line to describe a segment of a circle containing an angle equal to a given rectilineal ...
... a bed is a quadrilateral figure in a circle , the opposite angles bad , bcd are equal to two right angles ( iii . ... Upon a given straight line to describe a segment of a circle containing an angle equal to a given rectilineal ...
Σελίδα 74
17. If two circles cut each other , the straight line wbich joins their centres will bisect the straight line which joins the points of intersection . BOOK IV . DEFINITIONS . I. A RECTILINEAL figure is 74 THE ELEMENTS OF EUCLID .
17. If two circles cut each other , the straight line wbich joins their centres will bisect the straight line which joins the points of intersection . BOOK IV . DEFINITIONS . I. A RECTILINEAL figure is 74 THE ELEMENTS OF EUCLID .
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a b c angle a b c angle bac base base bc bc is equal bisected centre circle circumference common compounded definition demonstrated describe diameter divided double draw equal angles equal to f equiangular equilateral equimultiples exterior angle extremity fall fore four fourth given straight line greater half ILLUSTRATED inscribe join less likewise magnitudes manner meet multiple parallel parallelogram pass perpendicular produced proportionals PROPOSITION ratio reason rectangle contained rectilineal figure remaining angle right angles segment shewn sides similar square square of a c straight line a b Take taken third touches the circle triangle triangle a b c wherefore whole