The Elements of EuclidLongmans, Green and Company, 1866 - 376 páginas |
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Página 41
... passes , and BK , KD the other parallelograms which make up the whole figure ABCD , and are therefore called the complements : the comple- ment BK is equal to the complement KD . For , because ABCD is a parallelogram , and AC its E A H ...
... passes , and BK , KD the other parallelograms which make up the whole figure ABCD , and are therefore called the complements : the comple- ment BK is equal to the complement KD . For , because ABCD is a parallelogram , and AC its E A H ...
Página 52
... according to circumstances , be two solutions , one , or none . 7. Describe a circle which shall pass through two given points , and have its centre in a given line . 8. From two given points on the same side of 52 22 EXERCISES. ...
... according to circumstances , be two solutions , one , or none . 7. Describe a circle which shall pass through two given points , and have its centre in a given line . 8. From two given points on the same side of 52 22 EXERCISES. ...
Página 55
... passes without or within the parallelogram . 39. From a given point without the angle contained by two given lines , draw a ... pass through a given point , the least is that whose base is bisected at that point . 41. Find a point in the ...
... passes without or within the parallelogram . 39. From a given point without the angle contained by two given lines , draw a ... pass through a given point , the least is that whose base is bisected at that point . 41. Find a point in the ...
Página 93
... 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 centre , bisect any straight line AB , which ...
... 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 centre , bisect any straight line AB , which ...
Página 94
... pass through the centre , it is plain that it cannot be bisected by the other which does not pass through the centre : But if neither of them pass through the centre , let , if possible , AE be equal to EC , and BE to ED ; and take F ...
... pass through the centre , it is plain that it cannot be bisected by the other which does not pass through the centre : But if neither of them pass through the centre , let , if possible , AE be equal to EC , and BE to ED ; and take F ...
Términos y frases comunes
AB² ABCD AC² AD² adjacent angles angle ABC angle ACB angle BAC angle equal base BC BC is equal centre chord circle ABC circumference diameter double draw equal angles equal to F equiangular equilateral triangle equimultiples exterior angle fore given circle given line given point given rectilineal given straight line gnomon hypotenuse inscribed intersection isosceles triangle join less Let ABC lines be drawn lines drawn meet multiple opposite angles parallel to BC parallelogram perpendicular plane polygon PROB produced proportionals Q. E. D. PROP rectangle contained rectilineal figure remaining angle right angles segment semicircle shew shewn square on AC tangents THEOR touches the circle triangle ABC twice the rectangle vertex Wherefore