### Ресйечьменб

 RATIO AND PROPORTION 400 SIMILAR FIGURES 415 PROPORTION THEOREMS ON AREAS 434 PROBLEMS 454 CENTRES 467 IRRATIONAL NUMBERS 501
 PARALLELS AND PARALLELO 523 DIHEDRAL ANGLES 543 THE SPHERE AND THE TETRA 557 List of Propositions 570 Answers 589

### ДзмпцйлЮ брпурЬумбфб

УелЯдб 570 - If, at a point in a straight line, two other straight lines, upon the opposite sides of it, make the adjacent angles together equal to two right angles, these two straight lines shall be in one and the same straight line.
УелЯдб 584 - If from the vertical angle of a triangle a straight line be drawn perpendicular to the base, the rectangle contained by the sides of the triangle is equal to the rectangle contained by the perpendicular and the diameter of the circle described about the triangle.
УелЯдб 575 - The square described on the hypothenuse of a rightangled triangle is equal to the sum of the squares described on the other two sides.
УелЯдб 424 - IN a right-angled triangle, if a perpendicular be drawn from the right angle to the base, the triangles on each side of it are similar to the whole triangle, and to one another.
УелЯдб 10 - The historical part is concise and clear, but the criticism is even more valuable, and a number of illustrative extracts contribute a most useful feature to the volume.
УелЯдб 571 - All the interior angles of any rectilineal figure, together with four right angles, are equal to twice as many right angles as the figure has sides.
УелЯдб 16 - The object of the UNIVERSITY TUTORIAL SERIES is to provide candidates for examinations and learners generally with text-books which shall convey in the simplest form sound instruction in accordance with the latest results of scholarship and scientific research. Important points are fully and clearly treated, and care has been taken not to introduce details which are likely to perplex the beginner. The Publisher will be happy to entertain applications from Schoolmasters for specimen copies of any...
УелЯдб 583 - If four straight lines be proportionals, the rectangle contained by the extremes is equal to the rectangle contained by the means...
УелЯдб 574 - If a parallelogram and a triangle be on the same base and between the same parallels, the parallelogram shall be double of the triangle.
УелЯдб 574 - Equal triangles, on equal bases, in the same straight line, and on the same side of it, are between the same parallels. Let...