The Elements of EuclidLongmans, Green and Company, 1866 - 376 páginas |
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Página 2
... greater than a right angle . XII . An acute angle is that which is less than a right angle . XIII . A term or boundary is the extremity of any thing . XIV . A figure is that which is enclosed by one or more boundaries . XV . A circle is ...
... greater than a right angle . XII . An acute angle is that which is less than a right angle . XIII . A term or boundary is the extremity of any thing . XIV . A figure is that which is enclosed by one or more boundaries . XV . A circle is ...
Página 5
... greater than its part . x . Two straight lines cannot enclose a space . XI . All right angles are equal to one another . XII . If a straight line falls upon two straight lines , so as to make the two interior angles on the same side of ...
... greater than its part . x . Two straight lines cannot enclose a space . XI . All right angles are equal to one another . XII . If a straight line falls upon two straight lines , so as to make the two interior angles on the same side of ...
Página 7
... greater : it is required to cut off from AB the greater a part equal to C the less . From the point A draw the straight line AD equal to C ( 1. 2 ) ; and from the centre A , at the distance AD , de- scribe the circle DEF . D E. B Then ...
... greater : it is required to cut off from AB the greater a part equal to C the less . From the point A draw the straight line AD equal to C ( 1. 2 ) ; and from the centre A , at the distance AD , de- scribe the circle DEF . D E. B Then ...
Página 8
... greater of two given straight lines , a part AE has been cut off equal to C the less . Q. E. F. PROP . IV . THEOREM . If two triangles have two sides of the one equal to two sides of the other , each to each , and have also the angles ...
... greater of two given straight lines , a part AE has been cut off equal to C the less . Q. E. F. PROP . IV . THEOREM . If two triangles have two sides of the one equal to two sides of the other , each to each , and have also the angles ...
Página 11
... greater than the other . Let AB be the greater ; and from it cut off DB equal to AC the less , and join DC : Then , because in the triangles DBC , ACB , DB is equal to AC , and BC common to both triangles , the two sides DB , BC are ...
... greater than the other . Let AB be the greater ; and from it cut off DB equal to AC the less , and join DC : Then , because in the triangles DBC , ACB , DB is equal to AC , and BC common to both triangles , the two sides DB , BC are ...
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