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 CorrectedT. Desilver and R. Desilver, 1825 - 516 sider |
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Side 16
... equilateral triangle is also equi- angular . PROP . VI . THEOR . IF two angles of a triangle be equal to one another , the sides also which subtend , or are opposite to , the equal an- gles , shall be equal to one another . Let ABC be a ...
... equilateral triangle is also equi- angular . PROP . VI . THEOR . IF two angles of a triangle be equal to one another , the sides also which subtend , or are opposite to , the equal an- gles , shall be equal to one another . Let ABC be a ...
Side 102
... equiangular to a given triangle . Let ABC be the given circle , and DEF the given triangle ; it is required to describe a triangle about the circle ABC equi- angular to the triangle DEF . Produce EF both ways to the points G , H , and ...
... equiangular to a given triangle . Let ABC be the given circle , and DEF the given triangle ; it is required to describe a triangle about the circle ABC equi- angular to the triangle DEF . Produce EF both ways to the points G , H , and ...
Side 103
... equiangular to the triangle DEF : and it is described about the circle ABC . Which was to be done . PROP . IV . PROB . To inscribe a circle in a given triangle . * Let the given triangle be ABC ; it is required to inscribe a circle in ...
... equiangular to the triangle DEF : and it is described about the circle ABC . Which was to be done . PROP . IV . PROB . To inscribe a circle in a given triangle . * Let the given triangle be ABC ; it is required to inscribe a circle in ...
Side 109
... equiangular pentagon in a given circle . A Let ABCDE be the given circle ; it is required to inscribe an equilateral and equiangular pentagon in the circle ABCDE . Describe ( 10. 4. ) an isosceles triangle FGH , having each of the ...
... equiangular pentagon in a given circle . A Let ABCDE be the given circle ; it is required to inscribe an equilateral and equiangular pentagon in the circle ABCDE . Describe ( 10. 4. ) an isosceles triangle FGH , having each of the ...
Side 110
... equiangular ; because the cir- cumference AB is equal to the circumference DE : if to each be added BCD , the whole ... equiangular pentagon has been inscribed . Which was to be done . PROP . XII . PROB . To describe an equilateral and ...
... equiangular ; because the cir- cumference AB is equal to the circumference DE : if to each be added BCD , the whole ... equiangular pentagon has been inscribed . Which was to be done . PROP . XII . PROB . To describe an equilateral and ...
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The Elements of Euclid: Viz, the First Six Books, Together with the Eleventh ... Robert Simson,Euclid Euclid Ingen forhåndsvisning tilgjengelig - 2018 |
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altitude angle ABC angle BAC base BC BC is equal BC is given bisected centre circle ABCD circumference cone cylinder demonstrated described diameter draw drawn equal angles equiangular equimultiples Euclid ex æquali excess fore given angle given in magnitude given in position given in species given magnitude given ratio given straight line gnomon greater join less Let ABC meet multiple parallel parallelogram parallelogram AC perpendicular point F polygon prism proportionals proposition Q. E. D. PROP radius ratio of AE rectangle CB rectangle contained rectilineal figure remaining angle right angles segment sides BA similar sine solid angle solid parallelopipeds square of AC straight line AB straight line BC tangent THEOR third triangle ABC triplicate ratio vertex wherefore