# The Elements of Euclid: viz. the first six books, together with the eleventh and twelfth; and also the book of Euclid's Data

Bell & Bradfute, 1835 - 513 СЕКъДЕР
0 йЯИТИЙщР
оИ АНИОКОЦчСЕИР ДЕМ ЕПАКГХЕЩОМТАИ, АККэ Г Google ЕКщЦВЕИ ЙАИ ЙАТАЯЦЕъ ЬЕУДщР ПЕЯИЕВЭЛЕМО ЭТАМ ТО ЕМТОПъФЕИ

### тИ КщМЕ ОИ ВЯчСТЕР -сЩМТАНГ ЙЯИТИЙчР

дЕМ ЕМТОПъСАЛЕ ЙЯИТИЙщР СТИР СУМчХЕИР ТОПОХЕСъЕР.

### пЕЯИЕВЭЛЕМА

 The ELEMENTS OF EUCLID 11 Notes on the Elements 283 Euclids DATA 349
 Notes on the Data 456 Plane TRIGONOMETRY 461 SPHERICAL TRIGONOMETRY 483

### дГЛОЖИКч АПОСПэСЛАТА

сЕКъДА 95 - 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.
сЕКъДА 153 - 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.
сЕКъДА 306 - Again ; the mathematical postulate, that " things which are equal to the same are equal to one another," is similar to the form of the syllogism in logic, which unites things agreeing in the middle term.
сЕКъДА 11 - 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.
сЕКъДА 11 - Upon the same base, and on the same side of it, there cannot be two triangles that have their sides which are terminated in one extremity of the base equal to one another, and likewise those which are terminated in the other extremity.
сЕКъДА 317 - Equiangular parallelograms have to one another the ratio which is compounded of the ratios of their sides.
сЕКъДА 54 - 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...
сЕКъДА 26 - IF a straight line fall upon two parallel straight lines it makes the alternate angles equal to one another ; and the exterior angle equal to the interior and opposite, upon the same side ; and likewise the two interior angles upon the same side together equal to two right angles.
сЕКъДА 11 - If a straight line meet two straight lines, so as to make the two interior angles on the same side of it taken together less than two right angles...
сЕКъДА 93 - A circle is said to be described about a rectilineal figure, when the circumference of the circle passes through all the angular points of the figure about which it is described. VII. A straight line is said to be placed in a circle, when the extremities of it are in the circumference of the circle.