### Фй лЭне пй чсЮуфет -Уэнфбоз ксйфйкЮт

Ден енфпрЯубме ксйфйкЭт уфйт ухнЮиейт фпрпиеуЯет.

### Ресйечьменб

 THE STRAIGHT LINE 1 THE CIRCLE 12 SIMILAR FIGURES 60 EQUIVALENT FIGURES 102 REGULAR FIGURES 130 THE ALGEBRAIC METHOD 151
 SOLID GEOMETRY 1 The Cylinder 7 The Cone 13 The Sphere 19 Equivalent Solids 27 Inscribed and Circumscribed Solids 36

### ДзмпцйлЮ брпурЬумбфб

УелЯдб 85 - To find the locus of points from which two given circles will be seen under equal angles. Show that the distances from any point in the locus to the centres of the two circles are as the radii of the circles; this reduces the problem to Ex. 12. 17. To find the locus of the points from which a given straight line is seen under a given angle. 18. To find the locus of the vertex of a triangle, having given the. base and the ratio of the other two sides. 19. To find the locus of the points in a plane...
УелЯдб xiv - The straight line joining the middle points of two sides of a triangle is parallel to the third side, and equal to half of it.
УелЯдб 81 - Find the locus of a point such that the sum of the squares of its distances from two fixed points shall be equivalent to the square of the distance between the fixed points.
УелЯдб 64 - In any triangle, the product of two sides is equal to the square of the bisector of the included angle plus the product of the segments of the third side. Hyp. In A abc, the bisector t divides c into the segments, p and q. To prove ab = t
УелЯдб 81 - Find the locus of a point such that the difference of the squares of its distances from two given points is equal to a given constant k-.
УелЯдб 35 - A cone, whose slant height is equal to the diameter of its base, is inscribed in a given sphere, and a similar cone is circumscribed about the same sphere.
УелЯдб 8 - The line which joins the mid-points of two sides of a triangle is parallel to the third side and equal to one half of it.
УелЯдб xiv - An isosceles trapezoid is a trapezoid whose non-parallel sides are equal. A pair of angles including only one of the parallel sides is called a pair of base angles. Pairs of base angles The median of a trapezoid is parallel to the bases and equal to onehalf their sum.
УелЯдб 64 - In an inscribed quadrilateral, the product of the diagonals is equal to the sum of the products of the opposite sides.
УелЯдб xv - In the same circle, or in equal circles, equal arcs are subtended by equal chords ; and, conversely, equal chords subtend equal arcs.