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Contents

 BOOK 1 ANGLES AND TRIANGLES 8 FIRST CASE OF THE CONGRUENCE OF TRIANGLES 16 PAGE 20 SECOND CASE OF THE CONGRUENCE OF TRIANGLES 22 PARALLEL STRAIGHT LINES 35 TRIANGLES 45 THIRD CASE OF THE CONGRUENCE OF TRIANGLES 54
 LOCI 79 BOOK II 93 CONSTRUCTIONS 110 AREAS OF SQUARES 116 MISCELLANEOUS EXERCISES 134 Book IV 213 Воок у 1 271 INDEX 299

Popular passages

Page 130 - In every triangle, the square on the side subtending either of the acute angles, is less than the squares on the sides containing that angle, by twice the rectangle contained by either of these sides, and the straight line intercepted between the...
Page 242 - If two triangles have two sides of one proportional to two sides of the other, and the angles opposite one pair of corresponding sides...
Page 241 - If two triangles have one angle of the one equal to one angle of the other and the sides about these equal angles proportional, the triangles are similar.
Page 17 - A circle is a plane figure contained by one line, which is called the circumference, and is such, that all straight lines drawn from a certain point within the figure to the circumference are equal to one another.
Page 254 - If from a point without a circle a secant and a tangent are drawn, the tangent is the mean proportional between the whole secant and its external segment.
Page 253 - When it is affirmed (for instance) that " if two straight lines in a circle intersect each other, the rectangle contained by the segments of the one is equal to the rectangle contained by the segments of the other...
Page 235 - Plot the locus of a point which moves so that the ratio of its distances from two fixed points remains constant.
Page 122 - Pythagoras' theorem states that the square of the length of the hypotenuse of a right-angled triangle is equal to the sum of the squares of the lengths of the other two sides.
Page 66 - THE straight lines which join the extremities of two equal and parallel straight lines, towards the same parts, are also themselves equal and parallel.
Page 113 - TO describe a parallelogram equal to a given rectilineal figure, and having an angle equal to a given rectilineal angle.