The first three books of Euclid's Elements of geometry, with theorems and problems, by T. Tate1851 - 139 sider |
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Side 50
... contained by any two of the straight lines which contain one of the right angles . II . E D In every parallelogram ... rectangle contained by the two straight lines , is equal to the rectangles contained by the undivided line , and the ...
... contained by any two of the straight lines which contain one of the right angles . II . E D In every parallelogram ... rectangle contained by the two straight lines , is equal to the rectangles contained by the undivided line , and the ...
Side 51
... contained by A , DE , because DK , that is ( 1. 34. ) BG , is equal to A ; and in like manner the rectangle EH is contained by A , EC : Therefore the rectangle contained by A , BC is equal to the several rectangles contained by A , BD ...
... contained by A , DE , because DK , that is ( 1. 34. ) BG , is equal to A ; and in like manner the rectangle EH is contained by A , EC : Therefore the rectangle contained by A , BC is equal to the several rectangles contained by A , BD ...
Side 52
... rectangle contained by the whole and one of the parts is equal with the rectangle contained by the two parts , together with the square of the afore- said part . Let the straight line AB be divided into two parts in the point c ; the ...
... rectangle contained by the whole and one of the parts is equal with the rectangle contained by the two parts , together with the square of the afore- said part . Let the straight line AB be divided into two parts in the point c ; the ...
Side 53
... rectangle contained by AC , CB , for GC is equal to CB ; Therefore GE is also equal to the rectangle AC , CB ; wherefore AG , GE are equal to twice the rectangle AC , CB : And HF , CK are the squares of AC , CB ; wherefore the four ...
... rectangle contained by AC , CB , for GC is equal to CB ; Therefore GE is also equal to the rectangle AC , CB ; wherefore AG , GE are equal to twice the rectangle AC , CB : And HF , CK are the squares of AC , CB ; wherefore the four ...
Side 54
... 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 straight line AB be divided into two equal parts in the point c , and into ...
... 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 straight line AB be divided into two equal parts in the point c , and into ...
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Vanlige uttrykk og setninger
A B C ABCD adjacent angles angle ABC angle ACB angle BAC angle equal angles BGH base BC BC is equal bisect centre circle ABC circumference diameter divided double draw a straight equal angles equal circles equal straight lines equal to FB exterior angle given point given rectilineal angle given straight line gnomon greater half a right hypotenuse interior and opposite isosceles triangle less Let ABC Let the straight line be drawn opposite angles parallel parallelogram perpendicular PROB produced Q. E. D. PROP rectangle AE rectangle contained rectilineal figure remaining angle right angles segment semicircle side BC square of AC straight line AB straight line AC straight line drawn THEOR touches the circle trapezium triangle ABC twice the rectangle vertex vertical angle