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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... "
Elements of Geometry: Containing the First Six Books of Euclid, with a ... - Pagina 14
door John Playfair - 1806 - 311 pagina’s
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The Elements of Euclid for the Use of Schools and Colleges: With Notes, an ...

Isaac Todhunter - 1880 - 426 pagina’s
...&c. QED 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...
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Ten years' Queen's scholarship questions, 1870-9, with answers to arithmetic ...

Education Ministry of - 1880 - 238 pagina’s
...be used in the diagrams. Not more than ten questions to bo answered. 1. On the same straight line, 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 likewise those...
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The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1881 - 236 pagina’s
...Therefore, the angle BDC is both equal to. and greatei than the angle BCD, which is impossible. 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 The third ease nesde no demonstration, because when the vertex or the out trlan;lu it upon a...
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The preliminary army examination made easy, a guide to self-preparation

John Gibson - 1881 - 64 pagina’s
...their bases or third sides shall be equal, and the triangles shall be equal in every respect. 5. On the same base and on the same side of it there cannot be two triangles having their two sides terminated in one of the extremities of the base equal to one another and likewise...
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The Practical Teacher, Volume 1,Nummer 1

1882 - 676 pagina’s
...generally understood abbreviations for wonts may be used, but symbols of operation are not admissible.] 1. Upon the same base, and on the same side of it, there...triangles that have their sides which are terminated m one extremity of the base, equal to one another, and likewise those which are terminated in the other...
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The papers set at the professional preliminary examination

College of preceptors - 1882 - 528 pagina’s
...— "WJ REYNOLDS, MA 1. Define a plane surface, a parallelogram, similar segments of circles. 2. On the same base, and on the same side of it, there cannot be two triangles such that they have the sides eqnal that are terminated at one extremity of the base, and also have...
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Class lessons on Euclid

Marianne Nops - 1882 - 278 pagina’s
...THEOREMS CONCLUDED. THE enunciation of Prop. VII. is negative, which is very unusual. It states that ' on the same base, and on the same side of it, there cannot be two triangles which have their sides which are terminated at one extremity of the base equal and likewise those which...
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University local half-hour examination papers

John Robertson (LL.D., of Upton Park sch.) - 1882 - 152 pagina’s
...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 he two triangles having their sides terminated in one extremity of the base, equal to one another,...
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Twelve years' Queen's scholarship questions

Education Ministry of - 1882 - 292 pagina’s
...bo used in tho diagrams. Not more than ten questions to be answered. 1. On the same straight line, 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 likewise those...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1883 - 428 pagina’s
...&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...
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