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" And because the angle ABC is equal to the angle BCD, and the angle CBD to the angle ACB, therefore the whole angle ABD is equal to the whole angle ACD • (ax. "
Elements of Geometry, Containing the First Six Books of Euclid - Page 25
by Euclid - 1826 - 180 pages
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Elements of Geometry;: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1804 - 470 pages
...*• be equal to it. Therefore, ftraight lines, &c. Q^ E- D. PROP. XXXIV. THE OR. THE oppofite fides and angles of a parallelogram are equal to one another, and the diameter bifects it, that is, divides it iii two equal partS. NB A Parallelogram is a four-Jided figure, of...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1806 - 320 pages
...to the whole angle ACD : and the angle BAG has been shown, to be equal to the angle BDC ; therefore the opposite sides and angles of a parallelogram are equal to one another. Also, its diameter bisects it ; for AB being equal to CD, and BC common, the two AB, BC are equal to...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - Circle-squaring - 1819 - 348 pages
...and it was shewn to be equal to it. Therefore, straight lines, &.c. Q, ED PROP. XXXIV. THEOR. 'Che opposite sides and angles of a parallelogram are equal to one another, and the diameter bisects it, that is, divides it into two etjual parts. NB A Parallelogram is a four-sided figure, of which the...
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Elements of Geometry: Containing the First Six Books of Euclid: With a ...

John Playfair - 1819 - 317 pages
...to the whole angle ACD : And the angle BAC has been shewn to be equal to the angle BDC ; therefore the opposite sides and angles of a parallelogram are equal to one another : also, its diameter bisects it ; for AB being equal to CD, and BC common, the two AB, BC are equal...
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Euclid's Elements of geometry, transl. To which are added, algebraic ...

Euclides - 1826 - 226 pages
...angles ACB, CBD, equal to one another, AC is parallel to BD. C But it was shown that it was equal c 2? i. to it. Therefore right lines, &c. QED PROPOSITION...the opposite sides and angles of the parallelogram ABDC are equal to one another, and the diameter BC bisects it. For because AB is parallel to CD, and...
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Elements of Arithmetic, Algebra, and Geometry

George Lees - 1826 - 266 pages
...equal to the whole angle BCD ; and the angle ABC has been^shown equal to the angle ADC ; therefore, the opposite sides and angles of a parallelogram are equal to one another. And since the triangle ABC is equal to the triangle ADC, the diameter of course bisects it. Therefore,...
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Elements of Geometry: Containing the First Six Books of Euclid : with a ...

John Playfair - Euclid's Elements - 1832 - 333 pages
...to be •equal to it Therefore straight lines, &c. QED PROP. XXXIV. THEOR. The opposite sides find angles of a parallelogram are equal to one another, and the diameter bisects it; that is, divides it into two equal parts. NB A Parallelogram is a four-aided figure, nf which the opposite...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1835 - 316 pages
...two right angles ; therefore, the opposite sides must be equal and parallel. PROP. XXVIII. THEOR. '. The opposite sides and angles of a parallelogram are equal to one another, and the diagonal bisects it ; that is, divides it into two equal parts. Let ACDB be a parallelogram, of which...
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The Elements of Euclid: viz. the first six books, together with the eleventh ...

Robert Simson - Trigonometry - 1835 - 513 pages
...to the whole angle ACD : And the angle BAC has been shown to be equal to the angle BDC ; therefore the opposite sides and angles of a parallelogram are equal to one another: also its diameter bisects it; for AB being equal to CD, and BC common, the two AB, BC are equal to...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1835 - 540 pages
...to the whole angle ACD : And the angle BAC has been shown to be equal to the angle BJDC ; therefore the opposite sides and angles of a parallelogram are equal to one another: also its diameter bisects it; for AB being equal to CD, and BC common, the two AB, BC are equal to...
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