The first six books of the Elements of Euclid, with numerous exercisesIngram, Cooke, 1853 - 147 σελίδες |
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Αποτελέσματα 6 - 10 από τα 35.
Σελίδα 30
... diameter is hk , and a g , me are the parallelograms about hk ; and 1b , bf are the complements : therefore 1b is equal ( i . 43 ) to bf ; but bf is equal to the triangle c ; wherefore 1b is equal to the triangle c ; and because the ...
... diameter is hk , and a g , me are the parallelograms about hk ; and 1b , bf are the complements : therefore 1b is equal ( i . 43 ) to bf ; but bf is equal to the triangle c ; wherefore 1b is equal to the triangle c ; and because the ...
Σελίδα 33
... a finite straight line to describe a square of which that line Ishall 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.
... a finite straight line to describe a square of which that line Ishall 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 34
... diameters of a rectangle are equal to one another . 25. If any number of parallelograms be inscribed in a given parallelo- gram , the diameters of all the figures shall cut one another in the same point . 26. In a parallelogram the ...
... diameters of a rectangle are equal to one another . 25. If any number of parallelograms be inscribed in a given parallelo- gram , the diameters of all the figures shall cut one another in the same point . 26. In a parallelogram the ...
Σελίδα 35
... diameter , together with the two complements , is called a gnomon . Thus the parallelogram hg , together with the complements af , fc , is the gnomon , which is more briefly ex- pressed by the letters a gk , or eh c , which h are at the ...
... diameter , together with the two complements , is called a gnomon . Thus the parallelogram hg , together with the complements af , fc , is the gnomon , which is more briefly ex- pressed by the letters a gk , or eh c , which h are at the ...
Σελίδα 37
... diameter of a square are likewise squares . PROPOSITION V. - THEOREM . If a straight line be divided into two equal parts , and also into two unequal parts , the rectangle contained by the unequal parts , together with the square of the ...
... diameter of a square are likewise squares . PROPOSITION V. - THEOREM . If a straight line be divided into two equal parts , and also into two unequal parts , the rectangle contained by the unequal parts , together with the square of the ...
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a b c abcd adjacent angles angle a cb angle abc angle bac angle edf angle equal base bc bc is equal bisected centre circle abc circumference bc describe diameter double draw equal angles equal straight lines equal to f equimultiples ex æquali exterior angle fore four magnitudes fourth given circle given straight line gnomon greater ratio greater than f inscribe less LET abc LET the straight likewise multiple opposite angle parallel parallelogram perpendicular produced Q. E. D. PROPOSITION rectangle a d rectangle contained remaining angle right angles segment semicircle shewn square of a c straight line a b straight line ab straight line bc tiple touches the circle triangle abc triangle def twice the rectangle