The Elements of EuclidLongmans, Green and Company, 1866 - 376 páginas |
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Página 3
... segment of a circle is the figure contained by a straight line , and the circumference it cuts off . xx . Rectilineal figures are those which are contained by straight lines : XXI . Trilateral figures , or triangles , by three straight ...
... segment of a circle is the figure contained by a straight line , and the circumference it cuts off . xx . Rectilineal figures are those which are contained by straight lines : XXI . Trilateral figures , or triangles , by three straight ...
Página 15
... segment . If it be possible , let the two straight lines ABC , ABD have the segment AB common to both of them . From the point B draw BE at right angles to AB : Then , because ABC is a straight line , the angle CBE is equal to the angle ...
... segment . If it be possible , let the two straight lines ABC , ABD have the segment AB common to both of them . From the point B draw BE at right angles to AB : Then , because ABC is a straight line , the angle CBE is equal to the angle ...
Página 57
... segment of the base : construct the triangle . 60. Let AD be drawn perpendicular to the base BC of a triangle , in ... segments of the base , accord- ing as the greater angle B is greater or less than a right angle . 62. The lines which ...
... segment of the base : construct the triangle . 60. Let AD be drawn perpendicular to the base BC of a triangle , in ... segments of the base , accord- ing as the greater angle B is greater or less than a right angle . 62. The lines which ...
Página 84
... segments of the base . 4. Let AOB be a quadrant of a circle whose centre is 0 ; from any point Cin its arc draw CD perpendicular to OA or OB , meeting at E the radius which bisects the angle AOB : then shew that the squares upon CD , DE ...
... segments of the base . 4. Let AOB be a quadrant of a circle whose centre is 0 ; from any point Cin its arc draw CD perpendicular to OA or OB , meeting at E the radius which bisects the angle AOB : then shew that the squares upon CD , DE ...
Página 85
... segments of the sides will be equal . 8. If from one of the acute angles of a right - angled triangle a line be ... segment adjacent to the right angle . 9. Describe a square equal to the difference of two given squares . 10. Divide ...
... segments of the sides will be equal . 8. If from one of the acute angles of a right - angled triangle a line be ... segment adjacent to the right angle . 9. Describe a square equal to the difference of two given squares . 10. Divide ...
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