The first six books of the Elements of Euclid, with numerous exercises |
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Αποτελέσματα 1 - 5 από τα 30.
Σελίδα 3
Of four - sided figures , a square is that which has all its sides equal , and all its angles right angles . Square . Oblong . XXXI . An oblong is that which has all its angles right angles , but has not all its sides equal . XXXII .
Of four - sided figures , a square is that which has all its sides equal , and all its angles right angles . Square . Oblong . XXXI . An oblong is that which has all its angles right angles , but has not all its sides equal . XXXII .
Σελίδα 31
To describe a square upon a given straight line . LET a b be the given straight line ; it is required to describe a square upon a b From the point a draw ( i . 11 ) a c at right angles to a b ; and make ( i .
To describe a square upon a given straight line . LET a b be the given straight line ; it is required to describe a square upon a b From the point a draw ( i . 11 ) a c at right angles to a b ; and make ( i .
Σελίδα 32
41 ) of the triangle a bd , because they are upon the same base bd , and between the same parallels b d , al ; and the square gb is double of the triangle fb c , because these also are upon the same base fb , and between the same ...
41 ) of the triangle a bd , because they are upon the same base bd , and between the same parallels b d , al ; and the square gb is double of the triangle fb c , because these also are upon the same base fb , and between the same ...
Σελίδα 33
To find a point in a triangle equidistant from the three angular points of the triangle . 8. Given the three angles of a triangle and the sum of its three sides to construct the triangle . 9. To find a square which shall be equal to any ...
To find a point in a triangle equidistant from the three angular points of the triangle . 8. Given the three angles of a triangle and the sum of its three sides to construct the triangle . 9. To find a square which shall be equal to any ...
Σελίδα 36
If a straight line be divided into any two parts , the rectangles contained by the whole and each of the parts are together equal to the square of the whole lihe . LET the straight line a b be divided into any two parts in the point c ...
If a straight line be divided into any two parts , the rectangles contained by the whole and each of the parts are together equal to the square of the whole lihe . LET the straight line a b be divided into any two parts in the point c ...
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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