## Elements of Geometry |

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### Common terms and phrases

altitude Analysis angle approach auxiliary axis base bisect bisector called centre chord circle circumference circumscribed coincide common cone construct convex corresponding curve cylinder Definitions described determine diagonals diameter difference direction distance draw edges elements ellipse equal equally distant equivalent established Exercises expression extremities faces fall feet figure Find the locus fixed point formed Geometry given circle given line given point greater Hence included increase inscribed intersect joining length less limit measure middle point move NOTE number of sides oblique opposite parabola parallel parallelogram pass perimeter perpendicular placed plane polygon portion position prism PROBLEM projection pyramid radius ratio rectangle relations remain represent rotation secant segment separated Show sides similar space sphere spherical triangle square straight line student suggests surface tangent THEOREM third vertex vertices volume

### Popular passages

Page 25 - If two triangles have the three sides of the one equal to the three sides of the other, each to each, the triangles are congruent.

Page 26 - If two triangles have two sides and the included angle of one equal to two sides and the included angle of the other, each to each, the other homologous parts are also equal, and the triangles are equal.

Page 17 - The sum of two sides of a triangle is greater than the third side, and their difference is less than the third side.

Page 293 - SUITABLE FOR USE IN PREPARATORY SCHOOLS. SELECTED FROM THE LISTS OF THE MACMILLAN COMPANY, Publishers. ARITHMETIC FOR SCHOOLS. By JB LOCK, Author of " Trigonometry for Beginners" "Elementary Trigonometry" etc Edited and Arranged for American Schools By CHARLOTTE ANGAS SCOTT, D.SC., Head of Math.

Page 172 - Find the locus of a point which moves so that the sum of its distances from two vertices of an equilateral triangle shall equal its distance from the third.

Page 172 - Find the equation of the locus of a point which moves so that the sum of the squares of its distances from the x- and z-axes equals 4.

Page 100 - The sum of the squares of the sides of any quadrilateral is equal to the sum of the squares of the diagonals plus four times the square of the line joining the middle points of the diagonals.