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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 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 ...

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...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 ...

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...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 ...

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...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

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...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...

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...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 ...

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...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...

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...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...

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...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...

## The Works of Lord Byron: With His Letters and Journals,

...wonder how the devil In. 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...