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 21.
Σελίδα 37
... divided into any two parts in c ; the square of ab is equal to the squares of a c , cb , and to twice the rectangle con- tained by a c , cb . C a g c b k f Upon ab describe ( i . 46 ) the square a deb , and join bd , and through e draw ...
... divided into any two parts in c ; the square of ab is equal to the squares of a c , cb , and to twice the rectangle con- tained by a c , cb . C a g c b k f Upon ab describe ( i . 46 ) the square a deb , and join bd , and through e draw ...
Σελίδα 39
... divided into any two parts , the squares of the whole line , and of one of the parts , are equal to twice the rectangle contained by the whole and that part , together with the square of the other part . LET the straight line ab be divided ...
... divided into any two parts , the squares of the whole line , and of one of the parts , are equal to twice the rectangle contained by the whole and that part , together with the square of the other part . LET the straight line ab be divided ...
Σελίδα 40
... divided into two equal , and also into two unequal parts , the squares of the two unequal parts are together double of the square of half the line , and of the square of the line between the points of section . LET the straight line ab ...
... divided into two equal , and also into two unequal parts , the squares of the two unequal parts are together double of the square of half the line , and of the square of the line between the points of section . LET the straight line ab ...
Σελίδα 42
... divided in h , so that the rectangle a b , bh , is equal to the square of a h Produce gh to k ; because the straight line ac is bisected in e , and produced to the point f , the rectangle cf , fa , together with the square of a e , is ...
... divided in h , so that the rectangle a b , bh , is equal to the square of a h Produce gh to k ; because the straight line ac is bisected in e , and produced to the point f , the rectangle cf , fa , together with the square of a e , is ...
Σελίδα 43
... divided in h , so that the rectangle ab , bh , is equal to the square of a h Which was to be done . k d PROPOSITION XII . - THEOREM . In obtuse - angled triangles , if a perpendicular be drawn from any of the acute angles to the ...
... divided in h , so that the rectangle ab , bh , is equal to the square of a h Which was to be done . k d PROPOSITION XII . - THEOREM . In obtuse - angled triangles , if a perpendicular be drawn from any of the acute angles to 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