## Proceedings of the Edinburgh Mathematical Society, Volumes 5-6Scottish Academic Press, 1887 - Mathematics |

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### Common terms and phrases

arithmetical axes bisect body centrode Brocard Points centre of inversion centre of similitude cercle chord circonférence circumscribed circle collinear common tangent conique curve density deux diameter distance draw droite Edinburgh ellipse equation equiangular polygon equilateral polygon equilateral triangle Euclid figure fluid follows foyer F GEORGE THOM given aperture given circle given point given straight line given triangle Hence inscribed and circumscribed intersect Join l'angle l'axe radical le point m₂ middle point minimum numbers n-gon nine-point circle number of sides p-r-equation parallel pericyclic perpendicular plane polaire problem progression quadrilateral radical axis radius rapport rectangle of inversion right angle similar space centrode square supposed Take any point tangent term theorem transformation triangle ABC triangle whose sides valeur velocity vertices vortex vortices δε δσ σ δρ

### Popular passages

Page 6 - PROB. from a given point to draw a straight line equal to a given straight line. Let A be the given point, and BC the given straight line : it is required to draw from the point A a straight line equal to BC.

Page 13 - Upon a given straight line to describe a segment of a circle, which shall contain an angle equal to a given rectilineal angle.

Page 20 - To make a triangle of which the sides shall be equal to three given straight lines, any two of which are together greater than the third.

Page 52 - In a series of equal ratios, the sum of the antecedents is to the sum of the consequents as any antecedent is to its consequent.

Page 67 - Select the lettered pair of words which are related to each other in the same way as the original pair of words are related to each other.

Page 19 - I. When the given point, A, is in the circumference. HINT. What is the angle formed by a radius and a tangent at its extremity ? II. When the given point, A, is without the circle. Construction. Join A and 0 the center of the given circle. On OA as a diameter, construct a circumference intersecting...

Page 6 - From the greater of two given straight lines to cut off a part equal to the less. Let AB and C be the two given straight lines, whereof AB is the greater.

Page 14 - In a given circle, to place a straight line, equal to a given straight line, which is not greater than the diameter of the circle.

Page 45 - We have, incidentally, a proof that the pedal of a circle with respect to a point on its circumference is...

Page 12 - To draw a perpendicular to a given straight line from a given point without it.