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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. "
Euclid, book i., propositions i. to xxvi., with exercises and alternative ... - Pàgina 18
per Euclides - 1877
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Ten years' Queen's scholarship questions, 1870-9, with answers to arithmetic ...

Education Ministry of - 1880 - 238 pàgines
...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 preliminary army examination made easy, a guide to self-preparation

John Gibson - 1881 - 64 pàgines
...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 those...
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The Practical Teacher, Volum 1,Edició 1

1882 - 676 pàgines
...abbreviations for words may be used, but no symbols of operation, such as - , + , x , are admissible.] I 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...
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The Cambridge Examiner, Volum 2

1882 - 498 pàgines
...triangle ABC produce BA to D and make AD equal to BA ; join CD ; and shew that BCD is a right angle. 6. 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...
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Class lessons on Euclid

Marianne Nops - 1882 - 278 pàgines
...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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The papers set at the professional preliminary examination

College of preceptors - 1882 - 528 pàgines
...— "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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University local half-hour examination papers

John Robertson (LL.D., of Upton Park sch.) - 1882 - 152 pàgines
...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 pàgines
...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 pàgines
...&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...triangles having their sides which are terminated at one extremity of the base equal to one another, and likewise those which are terminated at the other...
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Geometry for schools, comprising books i. and ii. of Euclid, with some ...

Euclides - 1883 - 176 pàgines
...(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...triangles having their sides which are terminated at one extremity of the base equal to one another, and likewise those which are terminated at the other...
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