The first three books of Euclid's Elements of geometry, with theorems and problems, by T. Tate1851 - 139 sider |
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Side 54
... 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 ...
Side 56
... divided into any two parts , the squares of the whole line , and 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 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 ...
Side 57
... 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 ...
Side 58
... BC added together in one straight line . Wherefore , if a straight line , & c . Q. E. D. PROP . IX . THEOR . If a straight line be divided into two equal , and also into two unequal , parts ; the squares of 58 EUCLID'S ELEMENTS .
... BC added together in one straight line . Wherefore , if a straight line , & c . Q. E. D. PROP . IX . THEOR . If a straight line be divided into two equal , and also into two unequal , parts ; the squares of 58 EUCLID'S ELEMENTS .
Side 59
... divided at the point c into two equal , and at D into two unequal parts : The squares of AD , DB are together double of the squares of AC , CD . A E C D B From the point c draw ( 1. 11. ) CE at right angles to AB , and make it equal to ...
... divided at the point c into two equal , and at D into two unequal parts : The squares of AD , DB are together double of the squares of AC , CD . A E C D B From the point c draw ( 1. 11. ) CE at right angles to AB , and make it equal to ...
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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