The first three books of Euclid's Elements of geometry, with theorems and problems, by T. Tate1851 - 139 sider |
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Resultat 11-15 av 36
Side 66
... bisect BF in G ; and from the centre G , at the distance GB , or GF , describe the semicircle , BHF , and produce DE to H , and join GH . Then , because the straight line BF is divided into two equal parts in the point G , and into two ...
... bisect BF in G ; and from the centre G , at the distance GB , or GF , describe the semicircle , BHF , and produce DE to H , and join GH . Then , because the straight line BF is divided into two equal parts in the point G , and into two ...
Side 69
... bisect ( 1. 10. ) it in D ; from the point D draw ( I. 11. ) DC at right angles to AB , and produce it to E , and bisect CE in F : The point F is the centre of the circle ABC . For , if the centre be in CE , it must be in the middle ...
... bisect ( 1. 10. ) it in D ; from the point D draw ( I. 11. ) DC at right angles to AB , and produce it to E , and bisect CE in F : The point F is the centre of the circle ABC . For , if the centre be in CE , it must be in the middle ...
Side 70
... bisect another at right angles , the centre of the circle is in the line which bisects the other . PROP . II . THEOR . If any two points be taken in the circumference of a circle , the straight line which joins them shall fall within ...
... bisect another at right angles , the centre of the circle is in the line which bisects the other . PROP . II . THEOR . If any two points be taken in the circumference of a circle , the straight line which joins them shall fall within ...
Side 71
... bisect a straight line in it which does not pass through the centre , it shall cut it at right angles ; and , if it cuts it at right angles , it shall bisect it . Let ABC be a circle , and let CD , a straight line drawn through the ...
... bisect a straight line in it which does not pass through the centre , it shall cut it at right angles ; and , if it cuts it at right angles , it shall bisect it . Let ABC be a circle , and let CD , a straight line drawn through the ...
Side 72
... bisect each the other . Let ABCD be a circle , and AC , BD two straight lines in it which cut one another in the point E , and do not both pass through the centre ; AC , BD do not bisect one another . A B L C D For , if it is possible ...
... bisect each the other . Let ABCD be a circle , and AC , BD two straight lines in it which cut one another in the point E , and do not both pass through the centre ; AC , BD do not bisect one another . A B L C D For , if it is possible ...
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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