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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 ... - Σελίδα 26
των Dennis M'Curdy - 1846 - 138 σελίδες
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Elements of geometry, based on Euclid, books i-iii

Edward Atkins - 1876 - 119 σελίδες
...is equal to the triangle DBC. Therefore, triangles, &c. QED Proposition 38. — Theorem. Triangles upon equal bases, and between the same parallels, are equal to one another. Let tho triangles ABC, DEF, bo on equal bases BC, EF, and between the same parallels BF, AD. The triangle...

A graduated course of problems in practical plane and solid geometry

James Martin (of the Wedgwood inst, Burslem.) - 1876
...tame altitude. NOTE 2.— The altitude must alwaya be perpendicular to the base. Ex.AB— B (B.) " Parallelograms upon equal bases and between the same parallels are equal to one another" (in area). — Euc. I., 36. and ACED, or ABCD and FCEG— Ex. ABCD BC " E NOTE. — The dotted line...

Examination Christmas,1875

Education Department,London - 1876
...condition is required that the triangles may be equal in all respects ? SECTION II. 2. Triangles on equal bases and between the same parallels are equal to one another. Describe a triangle equal to one sixteenth of a given triangle and having the same angles. 3. The complementa...

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

Robert Potts - 1876 - 403 σελίδες
...the three interior angles of every triangle are together equal to two right angles. 4. Triangles on equal bases and between the same parallels are equal to one another. 5. If the square described on one of the sides of a triangle be equal to the squares described on the...

The College calendar. [Continued as] The College calendar for the United ...

Scotland free church
...equal to the squares on the two parts, together with twice the rectangle contained by the parts. 4. Parallelograms upon equal bases and between the same parallels are equal to one another. 5. Describe a right-angled triangle upon a given base, having given also the perpendicular from the...

Complete guide to the certificate and scholarship examinations, by a head ...

J T. Amner - 1878
...another square will be formed whose area is equal to one-half of the original square. 2. Triangles on equal bases and between the same parallels are equal to one another. Describe a triangle equal to one-sixteenth of a given triangle, and having the same angles. 3. The...

Civil Service of India: Open Competition for the Regulations, Examinations ...

1878
...together less than the perimeter, but greater than the semiperimeter of the triangle. 2. Parallelograms on equal bases and between the same parallels are equal to one another. Find a point in one of two given straight lines such that the perpendiculars drawn through it to both...

Moffatt's pupil teachers' course (ed. by T. Page). Candidates, 2nd (-4th) year

Moffatt and Paige - 1879
...triangle DEC. Therefore, triangles upon the same base, etc. QED Proposition XXXVIII. TheoremTriangles 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, A D. Then the...

A complete set of male pupil teachers' examination questions in Euclid [book ...

W J. Dickinson - 1879 - 36 σελίδες
...proposition. Describe a parallelogram equal to a given square having an angle equal to half a right angle. 36. Parallelograms upon equal bases and between the same parallels are equal to one another. 37. Triangles upon the same base and between the same parallels are equal to one another. Any point...

Euclid, books i. & ii., with notes, examples, and explanations, by a late ...

Euclides - 1879
...with these sides a triangle equal to the given triangle. PROPOSITION XXXVIII. THEOREM. Triangles on equal bases, and between the same parallels, are equal to one another. Let AS ABC, DBF be on = bases BC, EF, and between the same ||s BF, AD. Then shall A ABC = A DEF. GADH Constr....




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