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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. "
Solutions to the mathematical examination papers set for admission to the ... - Page 70
by D. Tierney - 1877
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Elements of Geometry;: Containing the First Six Books of Euclid, with a ...

John Playfair, Euclid - Circle-squaring - 1804 - 468 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 - Mathematics - 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 ...

John Playfair - Circle-squaring - 1819 - 350 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...diameter bisects it, that is, divides it into two etjual parts. NB A Parallelogram is a four-sided figure, of which the opposite sides are parallel ;...
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Elements of Geometry: Containing the First Six Books of Euclid: With a ...

John Playfair - 1819 - 354 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
...shown that it was equal c 2?« i. to it. Therefore right lines, &c. QED PROPOSITION XXXIV. THEOREM. The opposite sides and angles of a parallelogram are...equal to one another, and the diameter bisects it. • " A parallelogram is a four-sided figure, whose opposite sides are parallel." Let ABDC be a parallelogram,...
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Elements of Geometry, Containing the First Six Books of Euclid

Euclid - 1826 - 234 pages
...shown that it was equal « 27. i. to it. Therefore right lines, &c. QED PROPOSITION XXXIV. THEOREM. The opposite sides and angles of a parallelogram are...equal to one another, and the diameter bisects it. " A parallelogram is a four-sided figure, whose opposite sides are parallel." Let ABDC be a parallelogram,...
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Elements of Arithmetic, Algebra, and Geometry

George Lees - 1826 - 276 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 - 358 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,...bisects it; that is, divides it into two equal parts. NB A Parallelogram is a four-aided figure, nf which the opposite sides are parallel; and tha diameter...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1835 - 336 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 - 544 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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