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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. "
An introduction to the Elements of Euclid, being a familiar explanation of ... - Σελίδα 98
των Stephen Thomas Hawtrey - 1884
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Euclid's plane geometry, books iii.-vi., practically applied; or, Gradations ...

Euclides - 1861 - 464 σελίδες
...to two 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...

The school Euclid: comprising the first four books, by A.K. Isbister

Euclides - 1862 - 172 σελίδες
...angles, &c. QED Cor. Hence every equiangular triangle is 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 likewise...

Responsions

University of Oxford - 1863 - 316 σελίδες
...equal to a given rectilineal figure, and having an angle equal to a given rectilineal angle. 7. 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...

The school edition. Euclid's Elements of geometry, the first six books, by R ...

Euclides - 1864 - 448 σελίδες
...angles, &c. QED COB. Hence an equiangular triangle is also 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...

Euclid's Elements of geometry, the first four books, by R. Potts. Corrected ...

Euclides - 1864 - 262 σελίδες
...angles, &c. QED CoR. Hence an equiangular triangle is also equilateral. PROPOSITION VII. THEOREM. Upon the same base, and on the same side of it, there cannot be twn triangles that have their sides which are terminated in one extremity of the base, equal to one...

Elements of plane geometry, book i, containing nearly the same propositions ...

Euclides - 1865 - 80 σελίδες
...other side of DE, having its sides respectively equal to the same three given straight lines. Cor. On the same base, and on the same side of it, there cannot be two triangles which have their two sides which are terminated in one extremity of the base equal to one another,...

Half-hour examination papers, for daily use

John Robertson (LL.D., of Upton Park sch.) - 1865 - 106 σελίδες
...33. Define (i.) a line, (ii.) circle, (iii.) ihombus, (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 in one extremity of the base equal to one another, and likewise...

The College Euclid: Comprising the First Six and the Parts of the Eleventh ...

Euclides - 1865 - 402 σελίδες
...angles, &c. QED Cor. Hence every equiangular triangle is 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...

Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson ...

Robert Potts - 1865 - 528 σελίδες
...angles, &c. QED Con. Hence an equiangular triangle is also 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 extremity of the base, equal to one another, and...

Examination papers collected by A. Clark as a student and as an examiner

1867 - 224 σελίδες
...two magnitudes said to coincide? What name is given to a triangle which has three unequal sides ? 2. 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 those...




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