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" EQUAL triangles upon the same base, and upon the same side of it, are between the same parallels. "
The Elements of Euclid; viz. the first six books,together with the eleventh ... - Page 40
by Euclides - 1841 - 351 pages
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Elements of Geometry: With Practical Applications to Mensuration

Benjamin Greenleaf - Geometry - 1863 - 320 pages
...Parallelograms which have two sides and the included angle equal in each, arc them:elves equal. 22. Equivalent triangles upon the same base, and upon the same side of it, are between the same parallels. 23. If the middle points of the sides of a trapezoicl, which are not parallel, be joined by a straight...
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The school edition. Euclid's Elements of geometry, the first six books, by R ...

Euclides - 1864
...equal to the triangle DEF. Wherefore, triangles upon equal bases, &c. QED PROPOSITION XXXIX. THEOREM. Equal triangles upon the same base and upon the same...upon the same base BC, and upon the same side of it. Then the triangles ABC, DBC shall be between the same parallels. AD Join AD ; then AD shall be parallel...
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Euclid's Elements of geometry, the first four books, by R. Potts. Corrected ...

Euclides - 1864
...equal to the triangle DEF. "Wherefore, triangles upon equal bases, &c. QED PROPOSITION XXXIX. THEOREM. Equal triangles upon the same base and upon the same side of it, art between the same parallels. Let the equal triangles ABC, DBC be upon the same base BC, and upon...
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The College Euclid: Comprising the First Six and the Parts of the Eleventh ...

Euclides - 1865
...38. Triangles upon equal bases, and between the same parallels, are equal to one another. Prop. 39. Equal triangles upon the same base, and upon the same side of it, nre between the same parallels. Prop. 40. Equal triangles upon equal bases in the same straight line,...
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Elements of Geometry: Containing the First Six Books of Euclid: With a ...

John Playfair - Geometry - 1855 - 317 pages
...XXXIX. THEOR. Equal triangles upon the same hast, and ttpon the same side of it, are between the samt parallels. Let the equal triangles ABC, DBC be upon the same base BC, and UDOO die same side of it ; they are between the same parallels. Join AD ; AD is parallel to BC ; for,...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 400 pages
...DEF. Wherefore, triangles &c. QED PROPOSITION 39. THEOREM. Equal triangles on the same base, and on the same side of it, are between the same parallels. Let the equal triangles ABC, DBC be on the same base BC, and on the same side of it : they shall be between the same parallels. Join AD....
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 400 pages
...&c, QED PROPOSITION 40. THEOREM. Equal triangles, on equal bases, in the same straight line, and on the same side of it, are between the same parallels. Let the equal triangles ABC, DEF be on equal bases BC, EF, in the same straight line BF, and on the same side of it : they shall...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1868 - 410 pages
...QED PROPOSITION XXXIX. THEOREM. Equal triangles upon the same base and upon the same tide of it, an between the same parallels. Let the equal triangles...upon the same base BC, and upon the same side of it. Then the triangles ABC, DBC shall be between the same parallels. AD Join AD ; then AD shall be parallel...
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The Edinburgh university calendar

Edinburgh univ - 1868
...sides be equal, each to each ; and also the third angle of the one to the third angle of the other. 3. Equal triangles upon the same base, and upon the same side of it, are between the same parallels. 4. To divide a given straight line into two parts, so that the rectangle contained by the whole, and...
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Elements of Geometry: With Practical Applications to Mensuration

Benjamin Greenleaf - Geometry - 1868 - 320 pages
...Parallelograms which have two sides and the included angle equal in each, are themselves equal. 22. Equivalent triangles upon the same base, and upon the same side of it, are between the same parallels. 23. If the middle points of the sides of a trapezoid, which are not parallel, be joined by a straight...
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