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" The complements of the parallelograms which are about the diameter of any parallelogram, are equal to one another. Let ABCD be a parallelogram, of which the diameter is AC... "
Elements of geometry, containing books i. to vi.and portions of books xi ... - Page 69
by Euclides, James Hamblin Smith - 1872 - 349 pages
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Recent Military, Naval, and Civil Service Examination Papers in Mathematics ...

Braithwaite Arnett - 1874 - 130 pages
...equal to the angle contained by the two sides equal to them of the other. 2. Define a parallelogram. The complements of the parallelograms which are about...diameter of any parallelogram are equal to one another. In the case of a square, if the squares about the diameter are 169 and 625 square feet in area, what...
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Pure mathematics, Volume 1

Edward Atkins - 1874 - 428 pages
...(Const.). Proposition 43.— Theorem. 17ie complements of the parallelograms which are about the diagonal of any parallelogram are equal to one another. Let ABCD be a parallelogram, of which the diagonal is AC ; and EH, GF parallelograms about AC, that is, through which...
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Examination Christmas,1875

Education Department,London - 1876 - 1010 pages
...if О be the middle point of the baee, the triangle FOG is equal to three times the triangle ADE. 3. The complements of the parallelograms which are about...diameter of any parallelogram are equal to one another. If a parallelogram be divided into four equal parallelograms by lines drawn parallel to its sides,...
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The Pupil teacher, a monthly educational journal. H. Major, ed

Henry Major - 1876 - 784 pages
...lines, make the alternate angles equal to each other ; these two straight lines shall be parallel. 2. The complements of the parallelograms, which are about...diameter of any parallelogram, are equal to one another. 3. Through a given point A draw a line, so that the perpendiculars upon it from two other given points...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - Geometry - 1876 - 446 pages
...angles of a parallelogram, are equal to one another. 4. The complements of the parallelograms,which are about the diameter of any parallelogram, are equal to one another. 5. To describe a square on a given straight line. 6. Let ABCD be a quadrilateral figure whose opposite...
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Elements of geometry, based on Euclid, books i-iii

Edward Atkins - 1876 - 130 pages
...DQEF Proposition 43. — Theorem. The complements of the parallelograms which are about iha diagonal of any parallelogram are equal to one another. Let ABCD be a parallelogram, of -which the diagonal is AC ; and EH, GF parallelograms about AC, that is, through...
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Examination Papers for Science Schools and Classes

Great Britain. Education Department. Department of Science and Art - 1877 - 562 pages
...right line) are either two right angles, or are together equal to two right angles. (8.) 9. Prove that the complements of the parallelograms, which are about...diameter of any parallelogram, are equal to one another. (10.) 10. ABCD is a trapezium of which the side AB is parallel to the side CD, and its diagonals AC...
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Elements of geometry, based on Euclid, book i

Edward Atkins - 1877 - 72 pages
...DQEF Proposition 43.— Theorem. The complements of the parallelograms which are about the diagonal of any parallelogram are equal to one another. Let ABCD be a parallelogram, of which the diagonal is AC; and EH, GF parallelograms about AC, that is, through which...
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Civil Service of India: Open Competition for the Regulations, Examinations ...

Civil service - 1878 - 228 pages
...of every triangle are together equal to two right angles. Find the angle of u regular pentagon. 2. The complements of the parallelograms which are about...diameter of any parallelogram are equal to one another. Two straight lines parallel to the sides of a parallelogram divide it into four parallelograms ; if...
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Complete guide to the certificate and scholarship examinations, by a head ...

J T. Amner - 1878 - 226 pages
...one-sixteenth of a given triangle, and having the same angles. 3. The complements of the parallelogram which are about the diameter of any parallelogram are equal to one another. State and prove the converse of this proposition. 4. In any right-angled triangle the square on the...
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