Books Books
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 ... - Page 13
by Dennis M'Curdy - 1846 - 138 pages

## The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - Geometry - 1810 - 554 pages
...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 is equal to the angle ACB; therefore the base DC is equal to the base AB, and the triangle...

## The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 592 pages
...be the greater ; and from it cut" • 3. 1. 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 twosides, DB, BC are equal to the two AC, CB each to each ; and the angle DBC is...

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

John Playfair - Circle-squaring - 1819 - 348 pages
...join DC ; therefore, be- cause 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 is also equal to the angle ACB ; therefore the base DC is equal to the base AB,...

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

John Playfair - 1819 - 354 pages
...greater, and from it cut (3. 1.) off DB equal to AC the less, and join DC ; therefore, be- * cause 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...

## Elements of Geometry and Trigonometry: With Notes

Adrien Marie Legendre - Geometry - 1822 - 394 pages
...are not equal, let AB be the greater. Take BD=AC, and join DC. The angle DBC is (Hyp.) equal to ACB ; the two sides DB, BC, are equal to the two AC, CB, by construction ; therefore (Prop. 6.), the B triangle DEC must be equal to ACB. But the part cannot...

## A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - Mathematics - 1825 - 1058 pages
...Let AB be the greater; and from it cut (3. 1.) off DB equal 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 is...

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

Robert Simson - Trigonometry - 1827 - 546 pages
...AB be the greater ; and * 3. 1. 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, DB, BC are equal to the two AC, CB, each to ' 4. 1. each; and the angle...

## Hours of idleness. English bards and Scotch reviewers. Hints from Horace ...

George Gordon Byron Baron Byron - 1831 - 498 pages
...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 Is equal to the angle ACB : thereThough « Madoc," with " Pucelle */' instead of Punch, May...