# The Elements of Euclid: Viz. the First Six Books, with the Eleventh and Twelfth. In which the Corrections of Dr. Simson are Generally Adopted, But the Errors Overlooked by Him are Corrected, and the Obscurities of His and Other Editions Explained. Also Some of Euclid's Demonstrations are Restored, Others Made Shorter and More General, and Several Useful Propositions are Added. Together with Elements of Plane and Spherical Trigonometry, and a Treatise on Practical Geometry

J. Pillans & sons, 1799 - 351 уелЯдет

### Фй лЭне пй чсЮуфет -Уэнфбоз ксйфйкЮт

Ден енфпрЯубме ксйфйкЭт уфйт ухнЮиейт фпрпиеуЯет.

### Ресйечьменб

 Еньфзфб 1 8 Еньфзфб 2 9 Еньфзфб 3 46 Еньфзфб 4 61 Еньфзфб 5 89 Еньфзфб 6 94 Еньфзфб 7 109 Еньфзфб 8 135
 Еньфзфб 12 217 Еньфзфб 13 227 Еньфзфб 14 245 Еньфзфб 15 255 Еньфзфб 16 275 Еньфзфб 17 287 Еньфзфб 18 290 Еньфзфб 19 314

 Еньфзфб 9 170 Еньфзфб 10 198 Еньфзфб 11 213
 Еньфзфб 20 315 Еньфзфб 21 338

### ДзмпцйлЮ брпурЬумбфб

УелЯдб 30 - If two triangles have two angles of the one equal to two angles of the other, each to each, and also one side of the one equal to the corresponding side of the other, the triangles are congruent.
УелЯдб 142 - 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 13 - Let it be granted that a straight line may be drawn from any one point to any other point.
УелЯдб 30 - ... then shall the other sides be equal, each to each; and also the third angle of the one to the third angle of the other. Let ABC, DEF be two triangles which have the angles ABC, BCA equal to the angles DEF, EFD, viz.
УелЯдб 72 - The diameter is the greatest straight line in a circle; and of all others, that which is nearer to the centre is always greater than one more remote; and the greater is nearer to the centre than the less. Let ABCD be a circle, of which...
УелЯдб 57 - If then the sides of it, BE, ED are equal to one another, it is a square, and what was required is now done: But if they are not equal, produce one of them BE to F, and make EF equal to ED, and bisect BF in G : and from the centre G, at the distance GB, or GF, describe the semicircle...
УелЯдб 145 - AC the same multiple of AD, that AB is of the part which is to be cut off from it : join BC, and draw DE parallel to it : then AE is the part required to be cut off.
УелЯдб 48 - If a straight line be divided into any two parts, the square of the whole line is equal to the squares of the two parts, together with twice the rectangle contained by the parts.
УелЯдб 35 - F, which is the common vertex of the triangles ; that is, together with four right angles. Therefore all the angles of the figure, together with four right angles, are equal to twice as many right angles as the figure has sides.
УелЯдб 10 - 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.