The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh and Twelfth |
From inside the book
Results 6-10 of 33
Page 110
... inscribe a circle in a given triungle . Let the given triangle be ABC ; it is required to inscribe a circle in ABC . A E D Bisect the angles ABC , BCA by the straight lines BD , CD meeting one another in the point * 12 . 1. D , from ...
... inscribe a circle in a given triungle . Let the given triangle be ABC ; it is required to inscribe a circle in ABC . A E D Bisect the angles ABC , BCA by the straight lines BD , CD meeting one another in the point * 12 . 1. D , from ...
Page 111
... inscribed in the triangle ABC . Which was to be done . PROP . V. PROB . To describe a circle about a given triangle . Let the given triangle be ABC ; it is required to describe a circle about ABC . * Bisect * AB , AC in the points D , E ...
... inscribed in the triangle ABC . Which was to be done . PROP . V. PROB . To describe a circle about a given triangle . Let the given triangle be ABC ; it is required to describe a circle about ABC . * Bisect * AB , AC in the points D , E ...
Page 112
... inscribe a square in a given circle . Let ABCD be the given circle ; it is required to inscribe a square in ABCD . Draw the diameters , AC , BD , † at right angles to one another , and join AB , BC , CD , DÅ : the figure ABCD shall be ...
... inscribe a square in a given circle . Let ABCD be the given circle ; it is required to inscribe a square in ABCD . Draw the diameters , AC , BD , † at right angles to one another , and join AB , BC , CD , DÅ : the figure ABCD shall be ...
Page 113
... inscribed in the circle ABCD . Which was to be done . PROP . VII . PROB . To describe a square about a given circle . Let ABCD be the given circle ; it is required to describe a square about it . * 31.3 . † 30 Def . 1 . Draw two ...
... inscribed in the circle ABCD . Which was to be done . PROP . VII . PROB . To describe a square about a given circle . Let ABCD be the given circle ; it is required to describe a square about it . * 31.3 . † 30 Def . 1 . Draw two ...
Page 114
... inscribe a circle in a given square . Let ABCD be the given square ; it is required to inscribe a circle in ABCD . * Bisect each of the sides AB , AD in the points +31.1 . F , E , and through E draw + EH parallel to AB or DC , and ...
... inscribe a circle in a given square . Let ABCD be the given square ; it is required to inscribe a circle in ABCD . * Bisect each of the sides AB , AD in the points +31.1 . F , E , and through E draw + EH parallel to AB or DC , and ...
Other editions - View all
The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ... Euclid No preview available - 2015 |
The Elements of Euclid: Viz. the First Six Books, Together With the Eleventh ... Euclid No preview available - 2023 |
Common terms and phrases
AB is equal altitude angle ABC angle ACB angle BAC angle EDF base BC base DEF BC is equal bisected centre circle ABCD circle EFGH circumference cone Const cylinder described diameter draw equal angles equal to AC equiangular equilateral equimultiples exterior angle fore given rectilineal given straight line gnomon inscribed join less Let ABC multiple parallel parallelogram perpendicular point F polygon prism PROB pyramid ABCG pyramid DEFH Q. E. D. PROP rectangle contained rectilineal figure remaining angle right angles segment solid angle solid CD solid parallelopiped sphere square of AC straight line AB straight line AC THEOR three plane angles tiple touches the circle triangle ABC triangle DEF triplicate ratio wherefore whole