The Elements of EuclidLongmans, Green and Company, 1866 - 376 páginas |
Dentro del libro
Resultados 1-5 de 56
Página 5
... whole is 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 ...
... whole is 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 ...
Página 9
... whole triangle ABC shall coincide with the whole triangle DEF , and be equal to it ; and the other angles of the one shall coincide with the other angles of the other , and be equal to them , each to each , viz . the angle ABC to the ...
... whole triangle ABC shall coincide with the whole triangle DEF , and be equal to it ; and the other angles of the one shall coincide with the other angles of the other , and be equal to them , each to each , viz . the angle ABC to the ...
Página 10
... whole AF is equal to the whole AG , of which the parts AB , AC are equal , the remainder BF is equal to the remainder CG , and FC was proved to be equal to GB ; therefore the two sides BF , FC are equal to the two CG , GB , each to each ...
... whole AF is equal to the whole AG , of which the parts AB , AC are equal , the remainder BF is equal to the remainder CG , and FC was proved to be equal to GB ; therefore the two sides BF , FC are equal to the two CG , GB , each to each ...
Página 32
... whole exterior angle ACD is equal to the two interior and opposite angles BAC , CBA : To each of these equals add the angle ACB ; therefore the angles ACD , ACB are equal to the three angles BAC , ACB , CBA : But the angles ACD , ACB ...
... whole exterior angle ACD is equal to the two interior and opposite angles BAC , CBA : To each of these equals add the angle ACB ; therefore the angles ACD , ACB are equal to the three angles BAC , ACB , CBA : But the angles ACD , ACB ...
Página 35
... whole angle ABD is equal to the whole angle ACD ; and the angle BAC has been shown to be equal to the angle BDC ; therefore the opposite sides and angles of parallelograms are equal to one another : Also , the diameter bisects them ...
... whole angle ABD is equal to the whole angle ACD ; and the angle BAC has been shown to be equal to the angle BDC ; therefore the opposite sides and angles of parallelograms are equal to one another : Also , the diameter bisects them ...
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