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A Sequel to the First Six Books of the Elements of Euclid: Containing an Easy Introduction to Modern Geometry, With Numerous Examples (Classic Reprint)
A Sequel to the First Six Books of the Elements of Euclid Containing an Easy Introduction to Modern Geometry With Numerous Examples - Classic Reprint Author:John Casey SECTION I. — ADDITIONAL PROPOSITIONS. — IN the following pages the Propositions of the text of — Euclid will be referred to by Roman numerals enclosed — in brackets, and those of the work itself by the Arabic — The number of the book will be given only when different — from that under which the reference occurs. — For the purpose of saving space, the f... more »ollowing
symbols will be employed:-
Circle will be denoted by 0
Triangle " 6
Parallelogram " CJ
Parallel " II
Angle " L
Perpendicular " J..
In addition to the foregoing, we shall employ the
usual symbols of Algebra, and other contractions whose
meanings will be so obvious as not to require explanation.
Table of Contents
BOOK I; SECTION I; Disecting points of sides of triangles and quadrilaterals,; ? ,; Middle points of diagonals of quadrilaterals,; Loci of vertices of triangles-given bases and sum of; areas, ?; Concurrence of perpendiculars of triangles,; Perpendiculars from extremities of base on bisector; of vertical angle of a triangle,; Perpendiculars at middle points of sides of a triangle,; Inscribed and escribed squares to a triangle,; Centre of mean position, ?; Maxima and minima,; Deducibles from Euclid, fig, Prop XLVII, ? ?; SECTION II; Exercises, ? ? ? ? ?; BOOK II; SECTION I; Rectangle contained by segments of base of an isosceles; triangle,; Sums of squares of sides of triangles and quadrilaterals,; ? ?; PAGE; 2; [); 6; 8; 8; V; 10; 12; 13; 16; 17; 21; 22; COXTENTS; PAGB; Rectanl?!le contained by sum and diffet'ence of two; sides of a triangle, 23; Euler's theorem with respect to four collinear points, 23; Perpendiculars let fall from angular points of a s« less