"A sequel to the first six books of the Elements of Euclid" - Information and Links:

A sequel to the first six books of the Elements of Euclid - Info and Reading Options

containing an easy introduction to modern geometry, with numerous examples. (Part I)

"A sequel to the first six books of the Elements of Euclid" was published by Hodges, Figgis & Co. in 1910 - Dublin, it has 166 pages and the language of the book is English.


“A sequel to the first six books of the Elements of Euclid” Metadata:

  • Title: ➤  A sequel to the first six books of the Elements of Euclid
  • Author:
  • Language: English
  • Number of Pages: 166
  • Publisher: Hodges, Figgis & Co.
  • Publish Date:
  • Publish Location: Dublin

Edition Specifications:

  • Format: [electronic resource] :
  • Pagination: ➤  1 online resource ([xv], 166 p.)

Edition Identifiers:

AI-generated Review of “A sequel to the first six books of the Elements of Euclid”:


"A sequel to the first six books of the Elements of Euclid" Table Of Contents:

  • 1- bk. I. section I. Bisecting points of sides of triangles and quadrilaterals
  • 2- Middle point of diagonals of quadrilaterals
  • 3- Loci of vertices of triangles
  • 4- given bases and sum of areas
  • 5- Concurrence of perpendiculars of triangles
  • 6- Perpendiculars from extremities of base on bisector of vertical angle of a triangle
  • 7- Perpendiculars at middle points of sides of a triangle
  • 8- Inscribed and escribed squares to a triangle
  • 9- Centre of mean position
  • 10- Maxima and minima
  • 11- Deducibles from Euclid, fig., Prop. XLVII
  • 12- section II. Exercises
  • 13- bk. II. section I. Rectangle contained by segments of base of an isosceles triangle
  • 14- Sums of squares of sides of triangles and quadrilaterals
  • 15- Rectangle contained by sum and difference of two sides of a triangle
  • 16- Euler's theorem with respect to four collinear points
  • 17- Perpendiculars let fall from angular points of a square on a line
  • 18- Theorem on the squares of sides of a triangle whose base is divided in a given ratio
  • 19- Properties of sum of multiples of squares of lines drawn to a variable point from any number of given points
  • 20- section II. Exercises
  • 21- bk. III. section I. Properties of two circles touching each other
  • 22- Common tangent to two circles
  • 23- Rectangles of non-corresponding sides of two equiangular triangles
  • 24- Properties of perpendiculars from any point of a circle on two tangents and chord of contact
  • 25- Properties of perpendiculars form any point of a circle on sides of an inscribed quadrilateral
  • 26- Feet of perpendiculars on sides of a triangle from any point in circumscribed circle are collinear
  • 27- Intercepts of perpendiculars of a triangle between point of concurrence and circumscribed circle are bisected by the sides of the triangle
  • 28- Property of line joining any point in circumference of a circle to the intersection of perpendiculars of an inscribed triangle
  • 29- Problems on maxima and minima
  • 30- Philo's line
  • 31- Centre of instantaneous rotation
  • 32- Inversions and orthogonal circles defined
  • 33- Easy propositions on coaxal circles
  • 34- Easy propositions on poles and polars
  • 35- Problems on construction of triangles
  • 36- section II. Exercises
  • 37- bk. IV. section I. Intercepts between angular points of a triangle and points of contact of inscribed and escribed circles in terms of sides
  • 38- Area of triangle in terms of sides
  • 39- Sum of perpendiculars from any point on the sides of a regular polygon
  • 40- Sum of perpendiculars on any line from angular points of a regular polygon
  • 41- Sum of squares of distances from any point to angular points of a regular polygon
  • 42- "Nine-points circle" of a triangle
  • 43- Propositions relating to circumscribed circle to a triangle
  • 44- Special multiples for mean centres of angular points of a triangle
  • 45- section II. Exercises
  • 46- bk. VI. section I. Properties of segments of sides of a triangle made by concurrent lines
  • 47- Properties of segments of sides of a triangle made by collinear points
  • 48- Rectangle of two sides of a triangle
  • 49- Property of perpendiculars on sides and diagonals of inscribed polygon
  • 50- Locus of vertex of a triangle when base and ratio of sides are given
  • 51- Property of a parallel to one of the sides of a quadrilateral through intersection of diagonals
  • 52- Property of distances of vertices of a triangle from centres of inscribed and escribed circles
  • 53- Relation between radii of inscribed and circumscribed circles of a triangle
  • 54- Properties of centres and axes of perspective of two triangles
  • 55- Solutions of geometrical problems
  • 56- section II. Centres of similitude
  • 57- section III. Theory of harmonic section
  • 58- section IV. Theory of inversion
  • 59- Extension of Ptolemy's theorem
  • 60- section V. Coaxal circles
  • 61- section VI. Theory of anharmonic section
  • 62- section VII. Theory of poles and polars, and reciprocation
  • 63- section VIII. Miscellaneous exercises.

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