# Elements of Geometry: Containing Books 1. to Vi. and Portions of Books Xi. and Xii. of Euclid with Exercises and Notes

Rivingtons, 1879 - 349 Seiten
Copy owned by Florence Exton, principle of the college from 1920-1923, when she died unexpectedly in office.

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### Inhalt

 EUCLIDS PROPOSITION VI OF Book I 113 EUCLIDS PROPOSITIONS I To V 123 EUCLIDS PROPOSITIONS VI To X 129 PROPOSITION B Eucl IV 135 EUCLIDS PROPOSITIONS XVI To XX 143 PROPOSITION C 150 INTRODUCTORY REMARKS 179 APPENDIX TO BOOKS I 198 II 211 CONTAINING THE PROPOSITIONS MOST FRE 221 ON PROPORTION BY INVERSION ALTERNATION 227 EUCL V 233 CONTAINING THE PROPOSITIONS TO WHICH NO REFERENCE IS MADE IN BOOK VI Pp 235 to 235 Eucl V 6 236 EUCL V 17 237 Eucl V 19 238
 EUCLIDS PROPOSITION VII 256 Eucl VI 9 258 EUCL VI 10 259 EUCL VI 11 260 EUCL VI 12 261 Eucl VI 8 262 264 274 Eucl VI 21 275 EUCL VI 20 276 EUCL VI 31 278 EUCL VI 22 280 Euclids PROPOSITIONS I ro VI 284 EUCLIDS PROPOSITIONS VII TO XIV 293 71 301 25

### Beliebte Passagen

Seite 55 - 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 180 - The angle in a semicircle is a right angle; the angle in a segment greater than a semicircle is less than a right angle; and the angle in a segment less than a semicircle is greater than a right angle.
Seite 42 - If two triangles have two angles of the one equal to two angles of the other, each to each, and one side equal to one side, viz. either the sides adjacent to the equal...
Seite 108 - To draw a straight line through a given point parallel to a given straight line. Let A be the given point, and BC the given straight line ; it is required to draw a straight line through the point A, parallel to the straight hue BC.
Seite 48 - IF a straight line fall upon two parallel straight lines, it makes the alternate angles equal to one another...
Seite 92 - In obtuse-angled triangles, if a perpendicular be drawn from either of the acute angles to the opposite side produced, the square on the side subtending the obtuse angle, is greater than the squares on the sides containing the obtuse angle, by twice the rectangle contained by the side upon which, when produced, the perpendicular falls, and the straight line intercepted without the triangle between the perpendicular and the obtuse angle, Let ABC be an obtuse-angled triangle, having the obtuse angle...
Seite 93 - In every triangle, the square on the side subtending either of the acute angles, is less than the squares on the sides containing that angle, by twice the rectangle contained by either of these sides, and the straight line intercepted between the acute angle and the perpendicular let fall upon it from the opposite angle, Let ABC be any triangle, and the angle at B one of its acute angles, and upon BC, one of the sides containing it, let fall the perpendicular AD from the opposite angle.
Seite 5 - A circle is a plane figure contained by one line, which is called the circumference, and is such that all straight lines drawn from a certain point within the figure to the circumference, are equal to one another.
Seite 44 - If two triangles have one angle of the one equal to one angle of the other and the sides about these equal angles proportional, the triangles are similar.
Seite 91 - To divide a given straight line into two parts, so that the rectangle contained by the whole and one of the parts, shall be equal to the square of the other part.