 | Euclides - 1884 - 434 pages
...triangles on the same base and on the same side of it cannot have their conterminous sides equal. 1. On the same base and on the same side of it there can be only one equilateral triangle. 2. On the same base and on the same side of it there can be only... | |
 | Frederick Ryland - Ethics - 1887 - 168 pages
...Tripos, 1876. 677. Upon the same base, and upon the same side of it, there cannot be two triangles that have their sides terminated in one extremity of the...likewise those terminated in the other extremity. Euc. \. 7. (The figure is to be taken as in the accompanying diagram.) In Euclid's proof it is affirmed... | |
 | Canada. Department of the Interior - 1888 - 756 pages
...? Class 1— Euclid. Time, £ J hours, REV- D- GILLIES, BA ME. THOMAS GBoVia, BA 1. Show that 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... | |
 | E. J. Brooksmith - Mathematics - 1889 - 356 pages
...but the method of proof must be geometrical. Great importance will be attached to accuracy.] 1. Upon the same base and on the same side of it there cannot be two triangles which have their sides that are terminated at each extremity of the base equal to one another. 2. If a side of a triangle... | |
 | Edward Mann Langley, W. Seys Phillips - 1890 - 538 pages
...H is the point where BG cuts CF, BH is equal to HC. Also FH is equal to HQ. PROPOSITION 7. THEOREM. On the same base and on the same side of it there cannot be two triangles having their sides, which are terminated in one extremity of the base equal to one another, and likewise... | |
 | Law - 1890 - 958 pages
...dialogue in which occurs— "Like the poor oat i' the adage,*' SPCOND PAPER. EUCLID. 1. Prove that on the same base and on the same side of it there cannot be two triangles having the sides terminated at one end of the base equal, and also the sides terminated at the other... | |
 | Euclid - Geometry - 1890 - 442 pages
...BDC. So that the As come under the conditions of i. 4. .-. A BAG = A BDC. Proposition 7. THEOREM — On the same base and on the same side of it there cannot be two triangles having tlte sides terminated at one end of the base equal, and also the sides terminated at the other... | |
 | James Andrew Blaikie, William Thomson - Geometry - 1891 - 154 pages
...sides opposite to them shall also be equal. Cor.— Every equiangular triangle is also equilateral. 7. On the same base, and on the same side of it, there cannot be two triangles having the sides which are terminated at one end of the base equal and also those which are terminated... | |
 | Rupert Deakin - Euclid's Elements - 1891 - 102 pages
...the sides also which subtend, or are opposite to the equal angles, shall be equal to one another. 7. On the same base and on the same side of it there cannot be two triangles having their sides, which are terminated in one extremity of the base, equal to one another, and likewise... | |
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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. 
