Elements of Geometry: Containing the First Six Books of Euclid, with a Supplement on the Quadrature of the Circle and the Geometry of Solids; to which are Added, Elements of Plane and Spherical Trigonometry

Marot & Walter, 1826 - 320 уелЯдет

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Ресйечьменб

 Еньфзфб 1 i Еньфзфб 2 iii Еньфзфб 3 13 Еньфзфб 4 15 Еньфзфб 5 32 Еньфзфб 6 33 Еньфзфб 7 45 Еньфзфб 8 49
 Еньфзфб 15 143 Еньфзфб 16 154 Еньфзфб 17 163 Еньфзфб 18 173 Еньфзфб 19 188 Еньфзфб 20 212 Еньфзфб 21 226 Еньфзфб 22 237

 Еньфзфб 9 61 Еньфзфб 10 74 Еньфзфб 11 88 Еньфзфб 12 102 Еньфзфб 13 119 Еньфзфб 14 138
 Еньфзфб 23 259 Еньфзфб 24 272 Еньфзфб 25 273 Еньфзфб 26 277 Еньфзфб 27 284 Еньфзфб 28 291

ДзмпцйлЮ брпурЬумбфб

УелЯдб 125 - 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 39 - THE straight lines which join the extremities of two equal and parallel straight lines, towards the same parts, are also themselves equal and parallel. Let AB, CD be equal and parallel straight lines, and joined towards the same parts by the straight lines AC, BD ; AC, BD are also equal and parallel.
УелЯдб 41 - Parallelograms upon the same base and between the same parallels, are equal to one another.
УелЯдб 19 - BG; and things that are equal to the same are equal to one another; therefore the straight line AL is equal to BC. Wherefore from the given point A a straight line AL has been drawn equal to the given straight line BC.
УелЯдб 145 - If two triangles which have two sides of the one proportional to two sides of the other, be joined at one angle, so as to have their homologous sides parallel to one another ; the remaining sides shall be in a straight line. Let ABC, DCE be two triangles which have the two sides BA, AC proportional to the two CD, DE, viz.
УелЯдб 30 - If, from the ends of the side of a triangle, there be drawn two straight lines to a point within the triangle, these shall be less than, the other two sides of the triangle, but shall contain a greater angle.
УелЯдб 136 - FGL, have an angle in one equal to an angle in the other, and their sides about these equal angles proportionals ; the triangle ABE is equiangular (6.
УелЯдб 51 - 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 20 - DEF, and be equal to it ; and the other angles of the one shall coincide with the remaining angles of the other and be equal to them, viz. the angle ABC to the angle DEF, and the angle ACB to DFE.
УелЯдб 55 - If a straight line be divided into two equal, and also into two unequal parts ; the squares on the two unequal parts are together double of the square on half the line, and of the square on the line between the points of section.