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AB be the greater, and from it cut (3. 1.) off DB equal to AC the less, and join DC ; therefore, because A in the triangles DBC, ACB, DB is equal to AC, and BC common to both, the two sides DB, BC are equal to the two AC, CB. each to each ; and the angle...
Euclid's Elements: Or, Second Lessons in Geometry,in the Order of Simson's ... - Σελίδα 13
των Dennis M'Curdy - 1846 - 138 σελίδες
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## The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

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...and join DC ; therefore, because in the triangles DEC, ACB, DB is equal to AC, and BC common to both, the two sides DB, BC are equal to the two AC, CB, each to each ; and the angle DBC is equal to the angle ACB ; therefore the base DC is equal to the base AB, and the b 4. 1....

## The Works of George Byron: With His Letters and Journals, and His Life, Τόμος 9

...proposition of Euclid : " Because, in the triangles DEC, ACB, DB is equal to AC, and BC common to both j the two sides DB, BC, are equal to the two AC, CB, each to each, and the angle DBC is equal to the angle ACB: therefore, the base DC is equal to the base AB, and the triangle...

## Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1836 - 471 σελίδες
...other : Let AB be the greater, and from it cut b off DB equal to AC the less, and join DC ; therefore, because in the triangles DBC, ACB, DB is equal to AC, and BC common to both, the two sides DB, BC are equal to the two AC, CB, each to each ; but the angle DBC...

## The Element of Geometry

John Playfair - 1836 - 114 σελίδες
...other ; let AB be the greater, and from it cut off DB equal to AC the less, and join DC ; therefore, because in the triangles DBC, ACB, DB is equal to AC, and BC common to both, the two sides BD, BC are equal to the two sides AC, BC, each to each ; and the angle...

## Elements of Plane Geometry According to Euclid

Andrew Bell - 1837 - 240 σελίδες
...Let AB be the greater, and from it cut (1. 3) off DB equal to AC, the less, and join DC ; therefore, because in the triangles DBC, ACB, DB is equal to AC, and BC common to both, the two sides DB, BC, are equal to the two AC, CB, each to each ; but the angle DBC...

## The First Six and the Eleventh and Twelfth Books of Euclid's Elements: With ...

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...the other : let AB be the greater, and from it cut off DB equal to AC, the less, and join DC. Then because in the triangles DBC, ACB, DB is equal to AC, and BC common to both, the two sides DB, BC are equal to the two AC, CB, each to each ; and (hyp.) the angle...

## Miscellanies: Hours of Idleness. English bards and Scotch reviewers. Hints ...

...wonder how the devil he came there." The trio are well defined in the sixth proposition of Euclid: " Because, in the triangles DBC, ACB, DB is equal to AC, and BC common to both ; the two sides DB, BC, are equal to the two AC, CB, each to each, and the angle DBC...

## Euclid's Elements [book 1-6] with corrections, by J.R. Young

Euclides - 1838
...let AB be the greater; and from it » cut* off BD equal to AC, the less, and join DC: ' therefore, because in the triangles DBC, ACB, DB is equal to AC, and BC common to both, the two sides, DB, BC are equal to the two AC, CB, each to each ; and the angle DBC...

## The Elements of Euclid

Euclid - 1838 - 416 σελίδες
...because A in the triangles DBC, ACB, DB is equal to AC, and BC common to both, the two sides DB, BC _ are equal to the two AC, CB. each to each ; and / the angle DBC is equal to the angle ACB; therefore the base DC is equal to the base AB, and the triangle...

## The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Euclid, Robert Simson - 1838 - 416 σελίδες
...the greater, and from it cut (3. 1.) off DB equal to AC the less, and join DC ; therefore, because A in the triangles DBC, ACB, DB is equal to AC, and BC common to both, the two sides DB, BC are equal to the two AC, CB. each to each ; and the angle DBC...