The Elements of Euclid: Viz, the First Six Books, Together with the Eleventh and Twelfth. The Errors, by which Theon, Or Others, Have Long Ago Vitiated These Books, are Corrected : and Some of Euclid's Demonstrations Restored : Also the Book of Euclid's Data, in Like Manner CorrectedJ. Nourse, London, 1781 - 520 sider |
Inni boken
Resultat 1-5 av 100
Side 17
... THEOR . HE angles at the bafe of an Ifofceles triangle are equal to one another ; and , if the equal fides be produced , the angles upon the other fide of the bafe fhall be equal . Let ABC be an Ifofceles triangle , of which the fide AB ...
... THEOR . HE angles at the bafe of an Ifofceles triangle are equal to one another ; and , if the equal fides be produced , the angles upon the other fide of the bafe fhall be equal . Let ABC be an Ifofceles triangle , of which the fide AB ...
Side 18
... THEOR . F two angles of a triangle be equal to one another , the fides alfo , which fubtend , or are oppofite to , the equal angles , fhall be equal to one another . Let Let ABC be a triangle having the angle ABC equal 18 THE ELEMENTS.
... THEOR . F two angles of a triangle be equal to one another , the fides alfo , which fubtend , or are oppofite to , the equal angles , fhall be equal to one another . Let Let ABC be a triangle having the angle ABC equal 18 THE ELEMENTS.
Side 24
... THEOR . , at a point in a ftraight line , two other ftraight lines ,. upon the opposite fides of it , make the adjacent angles together equal to two right angles , these two straight lines fhall be in one and the fame ftraight line . At ...
... THEOR . , at a point in a ftraight line , two other ftraight lines ,. upon the opposite fides of it , make the adjacent angles together equal to two right angles , these two straight lines fhall be in one and the fame ftraight line . At ...
Side 25
... THEOR . IF two straight lines cut one another , the vertical , or op- pofite , angles fhall be equal . Let the two ftraight lines AB , CD cut one another in the point E ; the angle AEC fhall be equal to the angle DEB , and CEB to ALD ...
... THEOR . IF two straight lines cut one another , the vertical , or op- pofite , angles fhall be equal . Let the two ftraight lines AB , CD cut one another in the point E ; the angle AEC fhall be equal to the angle DEB , and CEB to ALD ...
Side 26
... THEOR . one fide of a triangle be produced , the exterior angle is greater than either of the interior opposite angles . 1 Let ABC be a triangle , and let its fide BC be produced to D , the exterior angle ACD is greater than either of ...
... THEOR . one fide of a triangle be produced , the exterior angle is greater than either of the interior opposite angles . 1 Let ABC be a triangle , and let its fide BC be produced to D , the exterior angle ACD is greater than either of ...
Andre utgaver - Vis alle
The Elements of Euclid: Viz. The First Six Books, Together with the Eleventh ... Euclid Uten tilgangsbegrensning - 1793 |
Vanlige uttrykk og setninger
alfo alſo angle ABC angle BAC bafe baſe BC is equal BC is given becauſe the angle bifected Book XI cafe centre circle ABCD circumference cone confequently conftruction cylinder defcribed demonftrated diameter drawn equal angles equiangular equimultiples Euclid excefs faid fame manner fame multiple fame ratio fame reafon fecond fegment fides BA fimilar fince firft firſt folid angle fome fore fphere fquare of AC ftraight line AB given angle given ftraight line given in fpecies given in magnitude given in pofition given magnitude given ratio gnomon greater join lefs leſs likewife line BC oppofite parallel parallelepipeds parallelogram perpendicular polygon prifm propofition proportionals pyramid Q. E. D. PROP rectangle contained rectilineal figure right angles ſquare thefe THEOR theſe triangle ABC vertex wherefore