## Proceedings of the Edinburgh Mathematical Society, Volume 5Scottish Academic Press, 1887 - Electronic journals |

### Other editions - View all

### Common terms and phrases

angle axis base body centre cercle chord circumscribed conique constant construction contain correspond curve d'une describe determined deux diameter difference direction distance draw drawn droite ellipse equal equation equiangular equilateral Euclid expression figure fixed given circle given point given straight line gives greater half Hence infinite inscribed inscribed and circumscribed Join l'angle l'axe less mean meeting n-gon Note number of sides origin parallel perpendicular plane polaire polygon position possible problem produced proportional PROPOSITION propriété prove quadrilateral question radical radius rapport reference regular relation respect result right-angled sides similar solution space centrode square Suppose Take taken tangent Tartaglia's third triangle valeurs vanishes varie vortex vortices δι

### Popular passages

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 22 - 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 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 5 - To draw a perpendicular to a given straight line, from a given point without that line.

Page 12 - At a point in a given straight line to make an angle equal to a given angle.

Page 17 - To trisect a given angle. Much time was devoted to this famous problem by the Greeks and the geometers of the Middle Ages ; it has now been shown that it is impossible with only the aid of a pair of compasses and a straight...