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" And because the angle ABC is equal to the angle BCD, and the angle CBD to the angle ACB... "
The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ... - Page 30
by Euclid - 1835 - 513 pages
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Examination for women. Examination papers, with lists of syndics and examiners

Cambridge univ, exam. papers - 1870 - 272 pages
...was soon out of sight. Miss AUSTEN, Pride and Prejudice. GROUP C FRIDAY, July 7, 1871. 11J to 1 1. THE opposite sides and angles of a parallelogram are equal to one another, and the diameter bisects the parallelogram, that is, divides it into two equal parts. If the diagonals...
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Elements of geometry, containing the first two (third and fourth ..., Part 1

Euclides - 1871 - 136 pages
...angles, the diagonal drawn from that angular point divides the rhombus into two equilateral triangles. The opposite sides and angles of a parallelogram are equal to one another, and the diagonal bisects it. O " - Let ABDC be a O, and BC a diagonal of the OThen must AB = DC and...
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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - Geometry - 1872 - 376 pages
...that angular point divides the rhombus into two equilateral triangles. PROPOSITION XXXIV. THEOREM. The opposite sides and angles of a parallelogram are equal to one another, and the diagonal bisects it. a Let ABDC be a O, and 5(7 a diagonal of the O. Then must AB = DC and...
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The Acting Teacher's and Student's in Training Guide and Text Book for ...

Henry Major - Student teachers - 1873 - 592 pages
...opposite sides and angles of parallelograms are equal to one another; also, their diameter bisects them ; for AB being equal to CD, and BC common, the two AB,...DC, CB, each to each; and the angle ABC is equal to BCD ; therefore the triangle ABC is equaj to BCD. XXXV. — Parallelograms upon the same base, a; between...
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The Elements of Euclid, containing the first six books, with a selection of ...

Euclides - 1874 - 342 pages
...ABD is equal to the whole angle ACD (Ax. 2), and the angle BAC has been shown to be equal to BDC ; therefore, the opposite sides and angles of a parallelogram are equal to one another. Also, the diameter BC bisects it. For since AB is equal to CD and BC common, the two sides AB, BC are equal...
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Pure mathematics, Volume 1

Edward Atkins - 1874 - 424 pages
...it was shown to be equal to it. Therefore, the straight lines, &c. QED Proposition 34. — Theorem. The opposite sides and angles of a parallelogram are equal to one another, and the diagonal bisects the parallelogram — that is, divides it into two equal parts. Let ACDB be...
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The Pupil teacher, a monthly educational journal. H. Major, ed

Henry Major - 1876 - 784 pages
...describe the general policy of one of them. What would yon say of the King's power in that reign ? 1. The opposite sides and angles of a parallelogram are equal to one another, and the diameter bisects il-, that is, divides it into two equal parts. Two parallel lines cut a series...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - Geometry, Plane - 1876 - 446 pages
...was shewn to be equal to BJ). Therefore, straight lines which, &c. QED PROPOSITION XXXIV. THEOREM. The opposite sides and angles of a parallelogram are equal to one another, and the diameter bisects it, that ii, divides it into two equal parti. Let A CDB be a parallelogram,...
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Elements of geometry, based on Euclid, books i-iii

Edward Atkins - 1876 - 130 pages
...it was shown to be equal to it. Therefore, the straight lines, &c. QED Proposition 34. — Theorem. The opposite sides and angles of a parallelogram are equal to one another, and the diagonal bisects the parallelogram — that is, divides it into two equal parts. Let ACDB be...
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Examination Christmas,1875

Education Department,London - 1876 - 1010 pages
...another parallelogram and parallel to its diagonals, this parallelogram will be double of the other. 1. The opposite sides and angles of a parallelogram are equal to one another. 2. Triangles upon equal bases and between the snme parallels are equal to one another. The line FDEG...
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