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### Innhold

 ELEMENTARY PRINCIPLES 7 BOOK II 43 BOOK III 55 BOOK IV 76 BOOK V 118 BOOK VI 142 SOLID GEOMETRY 165 BOOK VIII 184
 BOOK XI 253 BOOK XII 281 BOOK XIII 301 BOOK XIV 311 TRIGONOMETRY 2 BOOK I 13 SOLUTION OF PLANE TRIANGLES 41 BOOK IV 61

 BOOK IX 214 BOOK X 238
 BOOK V 72 BOOK VI 105

### Populĉre avsnitt

Side 37 - 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 103 - If two triangles have two angles of the one equal to two angles of the other, each to each, and also one side of the one equal to the corresponding side of the other, the triangles are congruent.
Side 95 - Each side of a spherical triangle is less than the sum of the other two sides.
Side 172 - If two planes are perpendicular to each other, a straight line drawn in one of them, perpendicular to their common section, will be perpendicular to the other plane.
Side 121 - Through a given point to draw a straight line parallel to a given straight line, Let A be the given point, and BC the given straight line : it is required to draw through the point A a straight line parallel to BC.
Side 272 - ALSO THE AREA OF THE TRIANGLE FORMED BY THE CHORD OF THE SEGMENT AND THE RADII OF THE SECTOR. THEN...
Side 33 - C' (89) (90) (91) (92) (93) 112. In any plane triangle, the sum of any two sides is to their difference as the tangent of half the sum of the opposite angles is to the tangent of half their difference.
Side 19 - In an isosceles triangle, the angles opposite the equal sides are equal.
Side 94 - In any quadrilateral the sum of the squares of the sides is equivalent to the sum of the squares of the diagonals, plus four times the square of the straight line that joins the middle points of the diagonals.
Side 102 - The areas of two triangles which have an angle of the one equal to an angle of the other are to each other as the products of the sides including the equal angles. A D A' Hyp. In triangles ABC and A'B'C', To prove AABC A A'B'C' A'B' x A'C ' Proof. Draw the altitudes BD and B'D'.