The Synoptical Euclid; Being the First Four Books of Euclid's Elements of Geometry from the Edition of Dr. Robert Simson ... With Exercises. By S. A. Good ... Second EditionCharles Henry Law, 1854 - 120 σελίδες |
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Σελίδα 50
1 Let the straight line AB be divided into any two parts in C ; the square of AB is equal to the squares of AC , CB , together with twice the rectangle contained by AC , CB . ୯ B G H K twice fear . AC , CB D FE Upon AB describe ( I. 46 ...
1 Let the straight line AB be divided into any two parts in C ; the square of AB is equal to the squares of AC , CB , together with twice the rectangle contained by AC , CB . ୯ B G H K twice fear . AC , CB D FE Upon AB describe ( I. 46 ...
Σελίδα 51
... divided into two equal parts , and also into two unequal parts , the rectangle contained by the unequal parts , together with the square of the line between the points of section , is equal to the square of half the line . Let the ...
... divided into two equal parts , and also into two unequal parts , the rectangle contained by the unequal parts , together with the square of the line between the points of section , is equal to the square of half the line . Let the ...
Σελίδα 53
... 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 54
... divided into any two parts , four times the rectangle contained by the whole line , and one of the parts , together with the square of the other part , is equal to the square of the straight line which is made up of the whole and that ...
... divided into any two parts , four times the rectangle contained by the whole line , and one of the parts , together with the square of the other part , is equal to the square of the straight line which is made up of the whole and that ...
Σελίδα 55
... 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 ...
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AB is equal AC is equal adjacent angles angle ABC angle ACB angle AGH angle BAC angle BCD angle EDF angle equal base BC bisected circle ABC circumference diameter double draw equal angles equal Constr equal Hyp equal straight lines equal to BC equilateral and equiangular EUCLID'S ELEMENTS exterior angle given circle given point given rectilineal angle given straight line given triangle gnomon greater inscribed interior and opposite less Let ABC Let the straight likewise opposite angles parallel to CD parallelogram pentagon perpendicular point F produced Q.E.D. PROP rectangle AE rectangle contained remaining angle required to describe right angles semicircle side BC square of AC straight line AB straight line AC straight line drawn touches the circle triangle ABC twice the rectangle