# Elements of Geometry and Plane Trigonometry: With an Appendix, and Copious Notes and Illustrations

A. Constable & Company, 1817 - 432 Seiten

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### Inhalt

 Abschnitt 1 1 Abschnitt 2 5 Abschnitt 3 40 Abschnitt 4 45 Abschnitt 5 71 Abschnitt 6 101 Abschnitt 7 116 Abschnitt 8 128
 Abschnitt 15 225 Abschnitt 16 226 Abschnitt 17 233 Abschnitt 18 260 Abschnitt 19 283 Abschnitt 20 318 Abschnitt 21 338 Abschnitt 22 384

 Abschnitt 9 155 Abschnitt 10 185 Abschnitt 11 191 Abschnitt 12 199 Abschnitt 13 204 Abschnitt 14 222
 Abschnitt 23 389 Abschnitt 24 398 Abschnitt 25 403 Abschnitt 26 425 Urheberrecht

### Beliebte Passagen

Seite 30 - ... if a straight line, &c. QED PROPOSITION 29. — Theorem. If a straight line fall upon two parallel straight lines, it makes the alternate angles equal to one another ; and the exterior angle equal to the interior and opposite upon the same side ; and likewise the two interior angles upon the same side together equal to two right angles.
Seite 333 - The first of four magnitudes is said to have the same ratio to the second which the third has to the fourth, when any...
Seite 294 - If a straight line meets two straight lines, so as to " make the two interior angles on the same side of it taken " together less than two right angles...
Seite 10 - A diameter of a circle is a straight line drawn through the centre, and terminated both ways by the circumference.
Seite 137 - Componendo, by composition ; when there are four proportionals, and it is inferred that the first together with the second, is to the second, as the third together with the fourth, is to the fourth.
Seite 84 - The angle at the centre of a circle is double of the angle at the circumference upon the same base, that is, upon the same part of the circumference.
Seite 292 - Thus, for" example, he to whom the geometrical proposition, that the angles of a triangle are together equal to two right angles...
Seite 93 - UPON a given straight line to describe a segment of a circle containing an angle equal to a given rectilineal angle.
Seite 38 - All the interior angles of any rectilineal figure, together with four right angles, are equal to twice as many right angles as the figure has sides.
Seite 58 - The rectangle contained by the sum and difference of two straight lines is equivalent to the difference of the squares of these lines.