# The Elements of Euclid for the Use of Schools and Colleges: With Notes, an Appendix, and Exercises. comprising the first six books and portions of the eleventh and twelfth books

Macmillan and Company, 1880 - 400 уелЯдет

### Фй лЭне пй чсЮуфет -Уэнфбоз ксйфйкЮт

Ден енфпрЯубме ксйфйкЭт уфйт ухнЮиейт фпрпиеуЯет.

### Ресйечьменб

 Book III 71 Book IV 113 Book V 134 Book VI 173 Book XI 220
 Book XII 244 Notes on Euclids Elements 250 Appendix 293 Exercises in Euclid 340

### ДзмпцйлЮ брпурЬумбфб

УелЯдб 225 - If two triangles have two angles of the one equal to two angles of the other, each to each, and one side equal to one side, viz.
УелЯдб 284 - 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.
УелЯдб 73 - When a straight line standing on another straight line makes the adjacent angles equal to one another, each of the angles is called a Right Angle; and the straight line which stands on the other is called a Perpendicular to it.
УелЯдб 39 - Triangles upon the same base, and between the same parallels, are equal to one another.
УелЯдб 10 - THE angles at the base of an isosceles triangle are equal to one another : and, if the equal sides be produced, the angles upon the other side of the base shall be equal.
УелЯдб 353 - AB into two parts, so that the rectangle contained by the whole line and one of the parts, shall be equal to the square on the other part.
УелЯдб 67 - ... subtending the obtuse angle, is greater than the squares on the sides containing the obtuse angle, by twice the rectangle contained by the side upon which, when produced, the perpendicular falls, and the straight line intercepted without the triangle between the perpendicular and the obtuse angle, Let ABC be an obtuse-angled triangle, having the obtuse angle ACB; and from the point A, let AD be drawn perpendicular to BC produced.
УелЯдб 300 - Describe a circle which shall pass through a given point and touch a given straight line and a given circle.
УелЯдб xv - PROPOSITION I. PROBLEM. To describe an equilateral triangle upon a given Jinite straight line. Let AB be the given straight line. It is required to describe an equilateral triangle upon AB, From the centre A, at the distance AB, describe the circle BCD ; (post.
УелЯдб 36 - 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.