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 |
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Resultat 1-5 av 69
Side 18
... equal to the angle ACB , and the angle CBD to the angle BCE . a 3. I. b 4. I. c 3. Ax . In BD take any point F , and from AE , the greater , cut off AG equal to AF , the lefs , and join FC , GB . A Because AF is equal to AG , and AB to ...
... equal to the angle ACB , and the angle CBD to the angle BCE . a 3. I. b 4. I. c 3. Ax . In BD take any point F , and from AE , the greater , cut off AG equal to AF , the lefs , and join FC , GB . A Because AF is equal to AG , and AB to ...
Side 19
... equal to the triangleb ACB , the lefs to the greater ; which is abfurd . Therefore B AB is not unequal to AC , that is , it is A D equal to it . Wherefore , if two angles , & c . Q E. D , COR . Hence every equiangular triangle is alfo ...
... equal to the triangleb ACB , the lefs to the greater ; which is abfurd . Therefore B AB is not unequal to AC , that is , it is A D equal to it . Wherefore , if two angles , & c . Q E. D , COR . Hence every equiangular triangle is alfo ...
Side 103
... equal to the given ftraight line D , which is not greater than the diameter of the circle . Which was to be done . IN PROP . II . PROB . a given circle to inscribe a triangle equiangular to a given triangle . G 4 Let Book IV . Let ABC ...
... equal to the given ftraight line D , which is not greater than the diameter of the circle . Which was to be done . IN PROP . II . PROB . a given circle to inscribe a triangle equiangular to a given triangle . G 4 Let Book IV . Let ABC ...
Side 104
... equal to the angle DEF ; and at the point A , in the ftraight line AG , make the angle G D A GAB equal to the angle DFE , and join BC : Therefore , be- caufe HAG touches the circle ABC , and E AC is drawn from the point of contact , the ...
... equal to the angle DEF ; and at the point A , in the ftraight line AG , make the angle G D A GAB equal to the angle DFE , and join BC : Therefore , be- caufe HAG touches the circle ABC , and E AC is drawn from the point of contact , the ...
Side 105
... equal to four right angles , for it can be divided in- Book IV . to two triangles ; and that two of them KAM , KBM are ... equiangular to the triangle DEF : And it is defcribed about the circle ABC . Which was to be done . To PROP . IV ...
... equal to four right angles , for it can be divided in- Book IV . to two triangles ; and that two of them KAM , KBM are ... equiangular to the triangle DEF : And it is defcribed about the circle ABC . Which was to be done . To PROP . IV ...
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The Elements of Euclid: Viz. The First Six Books, Together with the Eleventh ... Euclid Uten tilgangsbegrensning - 1793 |
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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