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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 ... - Pągina 30
per Euclid - 1835 - 513 pągines
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The Elements of Euclid, Viz: The Errors, by which Theon, Or Others, Have ...

Robert Simson - 1775 - 520 pągines
...oppofite fides and angles of parallelograms are equal to one another ; alto, their diameter bifects them ; for AB being equal to CD, and BC common, the two AB, BC are equal to the two DC, CB,cach to each ; and the angle ABC Book I. is equal to the angle BCD j therefore the triangle ABC...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1781 - 466 pągines
...of parallelograms are equal to one another. alfo, their diameter bifects them, for, AB being equil to CD, and BC common; the two AB, BC are equal to the two DC, CB, «ach to each ; and the angle ABC is equal to the Book I. angle BCD ; therefore the triangle ABC is...
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The First Six Books: Together with the Eleventh and Twelfth

Euclid - 1781 - 520 pągines
...parallelograms are equal to one another ; alfo, their diameter bifects them ; for AB being equal to CD, ancfr BC common, the two AB, BC are equal to the two DC, Cti, each to each; and the angle ABC C 4 is c *• x< SeeN. See the id and 3d figurcs. ». 34. r. b...
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Elements of Geometry;: Containing the First Six Books of Euclid, with Two ...

John Playfair - 1795 - 400 pągines
...one another : alfo, their diameter bifefts them-; for AB being equal to CD, and BC common, the tw» AB* BC are equal to the two DC, CB, each to each ; and the angle ABC is equal to the angle c 4. i. BCD ; therefore the triangle ABC is equal c to the triangle BCD, and the diameter BC divides...
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The Elements of Euclid: Viz. the First Six Books, with the Eleventh and ...

Alexander Ingram - 1799 - 351 pągines
...oppofite fides and angles of pnrallelograirs are equal to one another ; alfo, their diameter bifeds t^em ; for AB being equal to CD, and BC common, the two AB,...the two DC, CB, each to each ; and the angle ABC is 04. i. equal to the angle BCD ; therefore the triangle ABC is equal c to the triangle BCD, and the...
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The Elements of Euclid: Also the Book of Euclid's Data ...cor. viz. The ...

Robert Simson - 1804
...oppofite fides and angles of parallelograms are equal to one another, alfo, their diameter bifects them, for, AB being equal to CD, and BC common; the two AB, BC are equal to the two DC, CB, each t^each ; and the angle ABC is equal to the r-. 4. i. «d nd Figures. Book I. angle BCD', therefore...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1806 - 311 pągines
...and it was shown to c 27. 1. be equal to it. Therefore, straight lines, &c. QED PROP. XXXIV. THEOR. THE opposite sides and angles of a parallelogram are equal to one another, and the diameter bisects it, that is, divides it into tvyo equal parts. NB A parallelogram is a four...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid, Robert Simson - 1806 - 518 pągines
...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, BC arc equal to the two DC, CB, each to each ; and the angle ABC is Book I. equal to the angle BCD ; therefore...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1810 - 518 pągines
...opposite sides and angles of parallelograms are equal to one anothe l-; also, their diameter bisects them; for AB being equal to CD, and BC common, the two AB,...the two DC, CB, each to each; and the angle ABC is . Book I. equal to the angle BCD; therefore the triangle ABC is equal v^-vw c to the triangle BCD,...
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Elements of Geometry: Containing the First Six Books of Euclid: With a ...

John Playfair - 1819 - 317 pągines
...; and it was shewn to be ^q'nal to it. Therefore, straight lines, &c. Q, EDi!> PROP. XXXIV. THEOR. The opposite sides and 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-sided...
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