 | Robert Potts - Geometry, Plane - 1860 - 380 pages
...wherefore the angle BDC is both equal to, and greater than the angle BCD ; which is impossible. Thirdly. The case in which the vertex of one triangle is upon...Therefore, upon the same base and on the same side of it, &c. QED PROPOSITION VIII. THEOREM. If two triangles have two sides of the one equal to two sides of... | |
 | Popular educator - 1860 - 536 pages
...that if B c and BD be equal to one another, then A o and AD cannot be equal to one another. The third case, in which the vertex of one triangle is upon...Therefore, upon the same base, and on the same side of it, &c. QED SCHOLIUM. — The third case needs no demonstration, because when the vertex of the one triangle... | |
 | Euclides - 1860 - 288 pages
...an"le BDC has been proved to be greater than the angle BCD ; therefore the side BC is not equal to BD. The case in which the vertex of one triangle is upon a side of the other, needs no demonstration. PROPOSITION VIII. THEOREM. If two triangles have two sides of the one equal to two sides of the other,... | |
 | Royal college of surgeons of England - 1860 - 332 pages
...HEY. G. FBOST, MA 1. Give Euclid's definitions of the different kinds of three sided figures. 2. On the same base, and on the same side of it, there cannot be two triangles which have their sides terminated in one extremity of the base equal to one another, and also those... | |
 | War office - 1861 - 714 pages
...years at . per cent, per annum, simple interest. 10. Extract the square root of 13277-9529. Euclid. 1. Upon the same base, and on the same side of it there cannot be two triangles which have their sides which are terminated in one extremity of the base equal to one another, and... | |
 | Euclides - 1861 - 464 pages
...similar segments of a circle, is the same in principle with the 7th of Book I., which says, that, " on the same base and on the same side of it, there cannot be two triangles which have their sides terminated in one extremity of the base equal, and likewise those terminated... | |
 | Euclides - 1862 - 172 pages
...needs no demonstration, for it is evident from inspection that the side AC is greater than its part AD. Therefore upon the same base and on the same side of it, &c. QED PROP. VIII. — THEOREM. If two triangles have two sides of the one equal to two sides of the... | |
 | Euclides - 1862 - 140 pages
...sides BA, AC, do not coincide with the sides ED, DF, but have a different situation, as EG, GF, 7. Then upon the same base, and on the same side of it, there will be two triangles, which have their sides terminated in one extremity of the base equal to one... | |
 | Euclides - 1863 - 122 pages
...Therefore, the angle BDC is both equal to, and greater than the angle BCD, which is impossible The third case, in which the vertex of one triangle is upon...demonstration. Therefore, upon the same base, and on the tame side of it, &c. QED PEOP. VIII. (THEouEM.)—//' two triangles (ABC, DEF) bme two sides (AB, AC)... | |
 | University of Oxford - Education, Higher - 1863 - 316 pages
...diagonal. 2. From the greater of two given straight lines to cut off a part equal to the less. 3. On the same base, and on the same side of it, there cannot be two triangles having their sides which are terminated at one extremity of the base equal to one another, and likewise... | |
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Therefore, 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 extretnity equal... 
