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" Triangles upon equal bases, and between the same parallels, are equal to one another. "
Euclid's Elements: Or, Second Lessons in Geometry,in the Order of Simson's ... - Page 26
by Dennis M'Curdy - 1846 - 138 pages
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The Cambridge Examiner, Volume 2

Education, Higher - 1882 - 498 pages
...diameter bisects it, that is, divides it into two equal parts. 3. Parallelograms upon the same base or upon equal bases and between the same parallels are equal to one another. 4. Bisect a triangle by a line drawn from a given point in one of the sides. 5. From the extremities...
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Twelve years' Queen's scholarship questions

Education Ministry of - 1882 - 292 pages
...base of that which has the greater angle shall be greater than the base of the other. 4. Triangles upon equal bases and between the same parallels are equal to one another. 5. To a given straight line apply a parallelogram that shall be equal to a given rectilineal figure,...
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Class lessons on Euclid

Marianne Nops - 1882 - 278 pages
...SUMMARY OF PROPOSITIONS XXXVII. AND XXXVIII., THEOREMS 27 AND 2S. Triangles upon the same base, and upon equal bases, and between the same parallels are equal to one another. Cons. — Make parallelograms of which the triangles are half (I. 31, post. 2). Proof.— If"™ on...
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The Oxford examiner, ed. by M.W.I. Shilleto, Issues 1-5

Mary W I. Shilleto - 1882 - 418 pages
...exterior angles and the third interior angle meet all at one point. 2. Triangles upon the same, or upon equal bases, and between the same parallels are equal to one another. The straight lines drawn from the angles of a triangle to the points of bisection of the opposite sides...
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The papers set at the professional preliminary examination

College of preceptors - 1882 - 528 pages
...base, and also have those sides equal that are terminated at the other extremity. 3. Parallelograms on equal bases and between the same parallels are equal to one another. State (without proof) a converse of this proposition. 4. To divide a given straight line into two parts,...
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Twelve years' Queen's scholarship questions

Education Ministry of - 1882 - 302 pages
...bisecting the external angles of an equilateral triangle are parallel to the sides. 2. Triangles on equal bases and between the same parallels are equal to one another. If the perpendiculars drawn from the vertices to the bases of two triangles be equal, the bases being...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - Euclid's Elements - 1883 - 428 pages
...ABC is equal to the triangle DBG. Wherefore, triangles &c. QED PROPOSITION 38. THEOREM. Triangles on equal bases, and between the same parallels, are equal to one another. Let the triangles ABC, DEF be on equal bases BC, EF, and between the same parallels BF, AD : the trianglr...
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The Practical Teacher; with which is Incorporated the Practical ..., Volume 2

Joseph Hughes - Education - 1883 - 578 pages
...therefore the remaining angle ВЕС must be a right angle. Q. t. D. THE PRACTICAL TEACHER. 3. Triangles upon equal bases and between the same parallels are equal to one another. See Prop. XXXVIII. Bk. I. Algebra. I. Prove the rule for finding the least common multiple of two expressions....
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Geometry for schools, comprising books i. and ii. of Euclid, with some ...

Euclides - 1883 - 176 pages
...Q EC (/. 34), and A DBC is half 0 BF, .-. A ABC = A DBC (Ax. 7). QED PROP. 38. THEOR. Triangles on equal bases and between the same parallels are equal to one another. Given triangles ABC, c DEF, on equal bases V BC, EF, and be- \ tween the same ^__^__ parallels BF,...
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Stewart's specific subjects. Euclid. [1st] (-3rd stage). [With 2 issues of ...

Stewart W. and co - 1884 - 272 pages
...AB bisects it ; and DBC is the half of DBCF; therefore ABC is equal to DBC. XXXVIII. — Triangles upon equal bases, and between the same parallels, are equal to one another. Let the triangles ABC, DEF, be upon equal bases BC, EF, and between the same parallels BF, AD. Produce...
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