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" BCD, and the other angles to the other angles, (4. 1.) each to each, to which the equal sides are opposite : therefore the angle ACB is equal to the angle CBD ; and because the straight line BC meets the two straight lines AC, BD, and makes the alternate... "
The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick - Side 21
av Royal Military Academy, Woolwich - 1853
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1838 - 434 sider
...base BD, and the triangle ABC to the triangle BCD, and the other angles to the other angles, (4. 1.) each to each, to which the equal sides are opposite...ACB, CBD equal to one another, AC is parallel (27. 1 .) to DB ; and it was shown to be equal to it. Therefore straight lines, &c. QED PROP. XXXIV. THEOR....
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Euclid's Elements [book 1-6] with corrections, by J.R. Young

Euclides - 1838 - 264 sider
...to the bnse DF, and the triangle GBC to the triangle DEF, and the other angles to the other angles, each to each, to which the equal sides are opposite : therefore the angle GC H is equal to the angle DFE: but DFE is, by the hypothesis, .equal to the angle BCA ; wherefore...
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The Elements of Euclid; viz. the first six books,together with the eleventh ...

Euclides - 1841 - 378 sider
...therefore the triangle ABH is equal* to the triangle DEF, and the other * 4. I. angles to the other angles, each to each, to which the equal sides are opposite; therefore the angle BHA is equal to the angle EFD; but EFD is equal to the angle BCA; therefore the angle BHA is also equal*...
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Elements of geometry: consisting of the first four,and the sixth, books of ...

Euclides - 1842 - 316 sider
...equal to the base DF, and the triangle ABH to the triangle DEF, and the other angles shall be equal, each to each, to which the equal sides are opposite; therefore the angle BHA is equal to the angle EFD; butEFDis equal to the angle BCA; therefore also the angle BHA is equal...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1842 - 332 sider
...to the base DF, and the triangle GBC to the triangle DEF, and the other angles to the other angles, each to each, to which the equal sides are opposite ; therefore the angle GCB is equal to the angle DFE, but DFE is, by the hypothesis, equal to the angle BCA ; wherefore also...
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The First Six, and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid, James Thomson - 1845 - 382 sider
...and the remaining angles of the one are equal (I. 4, part. 3) to the remaining angles of the other, each to each, to which the equal sides are opposite ; therefore the angle AFC is equal to the angle AGB. And because the whole AF is equal (const.) to the D' whole AG, of which...
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Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ...

Euclides - 1845 - 546 sider
...base DF, (i. 4.) and the triangle ABH to the triangle DEF, and the other angles to the other angles, each to each, to which the equal sides are opposite; therefore the angle BHA is equal to the angle EFD ; but the angle EFD is equal to the angle BCA ; (hyp.) therefore the...
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Euclid in Paragraphs: The Elements of Euclid: Containing the First Six Books ...

Euclid - 1845 - 218 sider
...to the base DF, and the triangle GBC, to the triangle DEF, and the other angles to the other angles, each to each, to which the equal sides are opposite ; therefore the angle GCB is equal to the angle DFE ; But DFE is, by the hypothesis, equal to the angle BCA ; II i AX. wherefore...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - 1846 - 334 sider
...base BD, and the triangle ABC to the triangle BCD, and the other angles to the other angles (4. 1 .) each to each, to which the equal sides are opposite...ACB, CBD equal to one another, AC is parallel (27. 1.) to BD ; and it was shewn to be equal to it. COR. 1. Hence, if two opposite sides of a quadrilateral...
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The Elements of Euclid, the parts read in the University of Cambridge [book ...

Euclides - 1846 - 292 sider
...to the base DF, and the triangle ABH to the triangle DEF, and the other angles to the other angles, each to each, to which the equal sides are opposite ; therefore the angle AHB is equal to the angle DFE : But the angle DFE is equal to the angle ACB (Hyp.) ; therefore also...
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