The Elements of Euclid |
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Página 31
HE oppofite fides and angles of parallelograms are equal to one another , and the diameter bifects them , that is , divides them into two equal parts . N. B. A Parallelogram is a four fided figure of which the oppofite fides are ...
HE oppofite fides and angles of parallelograms are equal to one another , and the diameter bifects them , that is , divides them into two equal parts . N. B. A Parallelogram is a four fided figure of which the oppofite fides are ...
Página 95
N a given circle to place a ftraight line , equal to a given ftraight line not greater than the diameter of the circle . ... Draw BC C the diameter of the circle ABC ; then , if BC is equal to D , the thing required is done ; for in the ...
N a given circle to place a ftraight line , equal to a given ftraight line not greater than the diameter of the circle . ... Draw BC C the diameter of the circle ABC ; then , if BC is equal to D , the thing required is done ; for in the ...
Página 450
F from a given point in the diameter of a circle given in pofition , or in the diameter produced , a ftraight line be drawn to any point in the circumference , and from that point a ftraight line be drawn at right angles to the first ...
F from a given point in the diameter of a circle given in pofition , or in the diameter produced , a ftraight line be drawn to any point in the circumference , and from that point a ftraight line be drawn at right angles to the first ...
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added alfo alſo altitude angle ABC angle BAC bafe baſe becauſe bifected Book Book XI circle circle ABCD circumference common cone cylinder defcribed Definition demonftrated diameter divided double draw drawn equal equal angles equiangular equimultiples excefs fame fame multiple fecond fegment fhall fhewn fides fimilar firft firſt folid folid angle fore four fourth fquare fquare of BC ftraight line given angle given ftraight line given in fpecies given in pofition given magnitude given ratio greater Greek half join lefs magnitude manner meet oppofite parallel parallelogram perpendicular plane produced PROP Propofition proportionals pyramid reafon rectangle remaining right angles ſphere taken THEOR theſe third thro triangle ABC wherefore whole