## Proceedings of the Edinburgh Mathematical Society, Volumes 5-6 |

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according angle aperture axis base centre centrode cercle chord common conique considered constant construction contain corresponding cross curve density describe determined deux diameter difference direction distance draw drawn droite Edinburgh equal equation equiangular equilateral Euclid expression figure fixed fluid four foyer given circle given point given straight line gives greater half Hence infinite inscribed intersect inverse Join less mean meeting method n-gon Note obtained parallel passes perpendicular plane polygon position problem produced progression proportional PROPOSITION prove question radical radius rapport ratio reference relation respect result sides similar similitude solution square supposed Take taken tangent theorem third transformation triangle triangle ABC valeur vortex vortices δε

### 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 56 - 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 71 - 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.