 | Joseph Hughes - 1883 - 578 σελίδες
...Patriotism. Euclid. MALES. [All generally understood abbreviations for -.¡<or,li may be used.] 1. Upon the same base, and on the same side of it, there...those which are terminated in the other extremity. Prop. 7, Bk. i. 2. DB meets the straight line ABC at В ; BE BF bisect the angles DBC, Alii). Show... | |
 | Euclid, Isaac Todhunter - 1883 - 426 σελίδες
...&c. QBD Corollary. Hence every equiangular triangle is also equilateral. 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 at one extremity of the base equal to one another, and likewise... | |
 | Euclides - 1883 - 176 σελίδες
...(proved), .-. L ACB = L ABC (Ax. 3), and these are the angles at the lose. QED EU. I. 7. THEOR. 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... | |
 | Palaestra Oxoniensis - 1884 - 204 σελίδες
...following enunciations : — (i) Describe an equilateral triangle upon a given finite straight line. (2) Upon 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... | |
 | John Robertson (LL.D., of Upton Park sch.) - 1884 - 154 σελίδες
...line joining the point of section to the vertex, is equal to the square on one of the equal sides. 5. Upon the same base, and on the same side of it, there cannot be two triangles having their sides terminated in one extremity of the base, equal to one another, and likewise those... | |
 | Henry William Watson - 1884 - 320 σελίδες
...greater than AB + CD. But AE+CE is equal to AC, and EB + ED is equal to DB, '|L~ 7 PROPOSITION 4. £5to# the same base and on the same side of it there cannot be two triangles having the two sides terminated in one extremity of the base equal to each other, and at the same time... | |
 | Euclides - 1884 - 94 σελίδες
...the ame base, and upon the same side of it, there can be two triangles which have their sides •hich are terminated in one extremity of the base, equal to one another, and likewise those ides which are terminated in the other extremity ; but this is impossible. Therefore, if the base coincide... | |
 | 1884 - 266 σελίδες
...VI., with the Definitions of Book V.) (Optional.) Time allowed, 2 hours.—(Including Reading.)* 1. Upon the same base and on the same side of it, there cannot be two * A passage (not printed here), occupying about 20 lines of an ordinary reading book, was set in this... | |
 | Euclides - 1884 - 214 σελίδες
...angle BA C is equal to the angle EDF. Axiom 8. Therefore if two triangles dtc. QED Proposition VII. 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... | |
 | Euclides - 1884 - 182 σελίδες
...pair. (Join A,B,C,Dto the centre, and use I. 5 four times.) SECTION II. PROPOSITIONS 7—12. VI. 1 . If upon the same base and on the same side of it there be two triangles, and one of them be equilateral, prove that the other is not equilateral. 2. In equal... | |
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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, equal to one another. 
