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 are Restored. Also the Book of Euclid's Data, in Like Manner CorrE. Wingrove, London, and J. Balfour, Edinburgh, 1793 - 520 páginas |
Dentro del libro
Resultados 1-5 de 100
Página 15
... a given finite ftraight line . Let AB be the given straight linë ; it is required to describe an equilateral triangle upon it . From the centre A , at the di- ftance AB , defcribe a the circle BCD , and from the centre , B , at the ...
... a given finite ftraight line . Let AB be the given straight linë ; it is required to describe an equilateral triangle upon it . From the centre A , at the di- ftance AB , defcribe a the circle BCD , and from the centre , B , at the ...
Página 16
... given point A a straight line AL has been drawn equal to the given ftraight line BC . Which was to be done . 8. 2. I. PROP . III . PRO B. ' ROM the greater of two given straight lines to cut off a part equal to the less . FR Let AB and ...
... given point A a straight line AL has been drawn equal to the given ftraight line BC . Which was to be done . 8. 2. I. PROP . III . PRO B. ' ROM the greater of two given straight lines to cut off a part equal to the less . FR Let AB and ...
Página 21
... given rectilineal angle , that is , to divide it into two equal angles . To ... straight line AF bifects the angle BAC . Because AD is equal to AE , and AF ... given rectilineal angle BAC is bifected by the straight line AF . Which was to ...
... given rectilineal angle , that is , to divide it into two equal angles . To ... straight line AF bifects the angle BAC . Because AD is equal to AE , and AF ... given rectilineal angle BAC is bifected by the straight line AF . Which was to ...
Página 22
... line AB is divided into two equal parts in the point D. Which was to be done . See N. a 3. I. b I. I. c 8. I. A PROP . XI . PROB . C B ' O draw a straight line at right angles to a given ftraight line , from a given point in the fame . Tra ...
... line AB is divided into two equal parts in the point D. Which was to be done . See N. a 3. I. b I. I. c 8. I. A PROP . XI . PROB . C B ' O draw a straight line at right angles to a given ftraight line , from a given point in the fame . Tra ...
Página 23
... is impoffible ; therefore two straight lines can- A not have a common segment . To PROP . XII . PRO B. E D B draw a straight line perpendicular to a given ftraight line of an unlimited length , from a given point without it . Let AB be the ...
... is impoffible ; therefore two straight lines can- A not have a common segment . To PROP . XII . PRO B. E D B draw a straight line perpendicular to a given ftraight line of an unlimited length , from a given point without it . Let AB be the ...
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Otras ediciones - Ver todas
The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ... Euclid,Robert Simson Vista de fragmentos - 1803 |
Términos y frases comunes
alfo alſo angle ABC angle BAC bafe baſe BC is equal BC is given becauſe the angle becauſe the ratio bifected Book XI cafe centre circle ABCD circumference cone confequently conftruction cylinder defcribed demonftrated diameter drawn EFGH equal angles equiangular equimultiples Euclid excefs faid fame multiple fame ratio fecond fegment fhall fide BC fides fimilar firft firſt folid angle fome fore 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 muſt oppofite parallel parallelepiped parallelogram perpendicular plane angles PROP propofition proportionals pyramid rectangle contained rectilineal figure right angles ſame ſhall ſphere ſquare THEOR theſe tiple triangle ABC wherefore