# Elements of geometry, containing books i. to vi.and portions of books xi. and xii. of Euclid, with exercises and notes, by J.H. Smith

Rivingtons, 1876 - 349 sider

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### Innhold

 INTRODUCTORY REMARKS ON SOLIDS SURFACES LINES 1 TO XXVI 5 PROPOSITION 17 EUCLIDS PROPOSITIONS IX TO XII 20 EUCLIDS PROPOSITIONS I TO VI 24 EUCLIDS PROPOSITIONS XVI AND XVII 29 PROPOSITION D 37 EUOLIDS PROPOSITIONS XXIV TO XX11 38
 EUCLIDS PROPOSITIONS XVI TO XX 143 PROPOSITION C 150 INTRODUCTORY REMARKS 179 APPENDIX TO BOOKS I 198 II 211 V 217 EUCL V 7 223 EUCL VI 225

### Populære avsnitt

Side 49 - 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.
Side 36 - 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...
Side 176 - 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.
Side 44 - 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...
Side 48 - If a side of any triangle be produced, the exterior angle is equal to the two interior and opposite angles; and the three interior angles of every triangle are together equal to two right angles.
Side 102 - 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.
Side 185 - To describe an isosceles triangle, having each of the angles at the base double of the third angle.
Side 87 - 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.
Side 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.
Side 5 - A diameter of a circle is a straight line drawn through the centre, and terminated both ways by the circumference.