Proceedings of the Edinburgh Mathematical Society, Volume 12Scottish Academic Press, 1894 - Electronic journals |
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... point R1 To draw a straight line R2 To put a point of the compasses on a determinate point C1 To put a point of the compasses on an indeter- minate point of a line C2 To describe a circle C1 No account is taken of the length of the lines 2.
... point R1 To draw a straight line R2 To put a point of the compasses on a determinate point C1 To put a point of the compasses on an indeter- minate point of a line C2 To describe a circle C1 No account is taken of the length of the lines 2.
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... circles m .. An objection at once presents itself to the reader , as it did to Mr Lemoine . Is it legitimate to suppose the operations R1 , R2 , C1 , C2 , C3 identical in value , in order to make up the coefficient of simplicity or ...
... circles m .. An objection at once presents itself to the reader , as it did to Mr Lemoine . Is it legitimate to suppose the operations R1 , R2 , C1 , C2 , C3 identical in value , in order to make up the coefficient of simplicity or ...
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... circle C2 On another matter ( of small importance ) I have ventured to differ from Mr Lemoine . Given A , B , C , the three vertices of a triangle , to construct the triangle . Mr Lemoine estimates this operation as 6R , + 3R . I have ...
... circle C2 On another matter ( of small importance ) I have ventured to differ from Mr Lemoine . Given A , B , C , the three vertices of a triangle , to construct the triangle . Mr Lemoine estimates this operation as 6R , + 3R . I have ...
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... circle On another matter ( of small importance ) I have ventured to differ from Mr Lemoine . Given A , B , C , the three vertices of a triangle , to construct the triangle . Mr Lemoine estimates this operation as 6R , + 3R2 . I have ...
... circle On another matter ( of small importance ) I have ventured to differ from Mr Lemoine . Given A , B , C , the three vertices of a triangle , to construct the triangle . Mr Lemoine estimates this operation as 6R , + 3R2 . I have ...
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... circle , the only instruments being the ruler and the com- passes . ( 2 ) Add the carpenter's square , with two new ... circles 2 . I. 2 . From a given point to draw a straight line equal to a given straight line . 5R1 + 3R2 + 7C1 + 4C2 ...
... circle , the only instruments being the ruler and the com- passes . ( 2 ) Add the carpenter's square , with two new ... circles 2 . I. 2 . From a given point to draw a straight line equal to a given straight line . 5R1 + 3R2 + 7C1 + 4C2 ...
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Common terms and phrases
Acos Asin Au² B.Sc B₁ bisects C₁ centre circle cutting circonscrit circumcircle coefficients College compasses conique construction convergence coordonnées cube D.Sc d'une denote describe a circle deux Diary for 1843 differentiating Edinburgh Edinburgh Mathematical Society effected by 2R₁ Émile Lemoine equation Euclid's excircles finite number Fourier series function Gentleman's Diary geometrical Geometrography George Watson's College Gergonne point given circle given point given rectilineal figure given straight line Glasgow h₁ h₂ Hence hyperbola integral intersect JOHN ALISON l'équation Lady's and Gentleman's moduli nine-point circle operation which consists orthocentre pedal triangle perpendicular place the edge plan tangent point de contact polar Professor quadrique r₁ r₂ racine radius describe révolution rr₁ ruler in coincidence sides sinma solution sommet tangentielle tetrahedra theorem trois vanishes with h Weddle λ²
Popular passages
Page 1 - To draw a straight line perpendicular to a given straight line from a given point without it . 26 4.
Page 3 - To a given straight line to apply a parallelogram, which shall be equal to a given triangle, and have one of its angles equal to a given rectilineal angle.
Page 10 - ABC be the given rectilineal figure, to which the figure to be described is required to be similar, and D that to which it must be equal. It is required to describe a rectilineal figure similar to ABC, and equal to D. Upon the straight line BC describe (cor.
Page 5 - SEGMEBTT of a circle being given to describe the circle of which it is the segment.* Let ABC be the given segment of a circle ; it is required to describe the circle of which it is the segment.
Page 70 - ... the sum of the squares on half the line and on the line between the points of section*.
Page 6 - In a given circle to inscribe a triangle equiangular to a given triangle. Let ABC be the given circle, and DEF the given triangle ; it is required to inscribe in the circle ABC a triangle equiangular to the triangle DEF.
Page 6 - UPON a given straight line to describe a segment of a circle containing an angle equal to a given rectilineal angle.
Page 2 - At a point in a given straight line to make an angle equal to a given angle.
Page 69 - If a straight line be divided into any two, parts, the square on the whole line is equal to the sum of the rectangles contained by the whole and each of the parts*.