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" FG; then, upon the same base EF, and upon the same side of it, there can be two triangles that have their sides which are terminated in one extremity of the base equal to one another, and likewise their sides terminated in the other extremity: But this... "
Papers for the Schoolmaster - Side 272
1852
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The school edition. Euclid's Elements of geometry, the first six books, by R ...

Euclides - 1864 - 448 sider
...equilateral. PROPOSITION VII. THEOREM. 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 extremitg of the base, equal to one another, and likewise those which are terminated in the other extremitg....
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Half-hour examination papers, for daily use

John Robertson (LL.D., of Upton Park sch.) - 1865 - 106 sider
...(iv.) trapezoid, (v.) rectangle. [EMC] 34. Upon the same base, and on the same side of it, there cannot be two triangles that have their sides which are terminated...one another, and likewise those which are terminated in the other extremity. [EMC] 35. Trisect a right angle. [EMC] 36. Draw a right line perpendicular...
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Report of the Secretary for Public Instruction ...

Queensland. Department of Public Instruction - 1866 - 336 sider
...yet not be parallel ? 2. Prove that upon the same base, and upon the same side of it, there cannot be two triangles that have their sides which are terminated...one another, and likewise those which are terminated in the other extremity. Construct the figure for the third case, and shew why it " needs no demonstration."...
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Elements of plane geometry, book i, containing nearly the same propositions ...

Euclides - 1865 - 80 sider
...and DF, then upon the same base and on the same side of it there can be two triangles, EDF and EGF, that have their sides which are terminated in one...extremity of the base equal to one another, and likewise their sides terminated in the other extremity ; but this is (10, Cor.) impossible; therefore if the...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson ...

Robert Potts - 1865 - 528 sider
...as EG, GF: Then, upon the same base, and upon the same side of it, there can be two triangles which have their sides which are terminated in one extremity...the base, equal to one another, and likewise those sides which are terminated in the other extremity ; but this is impossible, (i. 7.) Therefore, if the...
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The College Euclid: Comprising the First Six and the Parts of the Eleventh ...

Euclides - 1865 - 402 sider
...also equilateral. PROP. VII.— THEOREM. 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 each other, and lihewise those which are terminated in the other extremity. (References — Prop. I....
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Elements of Geometry: Containing the First Six Books of Euclid: With a ...

John Playfair - 1855 - 350 sider
...also equilateral. ,/ PROP. VII. THEOR. 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 bast equal to one another, and likewise those which are terminated in the other extremity, equal to...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1867 - 424 sider
...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...those which >are terminated at the other extremity. If it be possible, on the same base AB, an^fl the same side of it. let then o triangles A CB, ADB,...
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Examination papers collected by A. Clark as a student and as an examiner

1867 - 224 sider
...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...those which are terminated at the other extremity equal to one another. 3. If a straight line be divided into any two parts, the rectangle contained...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1867 - 426 sider
...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...those which are terminated at the other extremity. If it be possible, on the same base AB, and on the same side of it, let there be two triangles ACB,...
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