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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. "
Five Years in an English University - Σελίδα 348
των Charles Astor Bristed - 1852
Πλήρης προβολή - Σχετικά με αυτό το βιβλίο

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

Euclides - 1862
...different situation as EG, 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 -which are terminated in the other extremity ; bnt this is impossible,...

Euclid's Elements of geometry, books i. ii. iii. iv

Euclides - 1862
...sides BA, AC, do not coincide with the sides ED, DF, but have a different situation, as EG, GF, 7. Then upon the same base, and on the same side of it, there will be two triangles, which have their sides terminated in one extremity of the base equal to one...

Euclid's plane geometry, practically applied; book i, with explanatory notes ...

Euclides - 1863
...making an observation with a quadrant of altitude. PROP. 7. — THEOR. Upon the same base and upon the same side of it there cannot be two triangles...are terminated in one extremity of the base equal to one another, and likewise those equal which are terminated in the other extremity. CON.— Pst. 1,...

Responsions

University of Oxford - 1863
...diagonal. 2. From the greater of two given straight lines to cut off a part equal to the less. 3. 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...

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

Euclides - 1864
...two 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...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....

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

Euclides - 1864
...two 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...

Half-hour examination papers, for daily use

John Robertson (LL.D., of Upton Park sch.) - 1865
...Mathematics. 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...are terminated in one extremity of the base equal to one another, and likewise those which are terminated in the other extremity. [EMC] 35. Trisect a right...

Report of the Secretary for Public Instruction ...

Queensland. Department of Public Instruction - 1866
...lines never meet when produced and yet not be parallel ? 2. Prove that upon the same base, and upon the same side of it, there cannot be two triangles...are terminated in one extremity of the base equal to one another, and likewise those which are terminated in the other extremity. Construct the figure for...

The college Euclid: comprising the first six and the parts of the eleventh ...

Euclides - 1865
...equal angles, are equal to one another. Cor. Every equiangular triangle is also equilateral. Prop. 7. 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...

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

Euclides - 1865
...BA B c and AC shall coincide with DE and EF ; for if BA and AC do not coincide with ED 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...




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