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### Innhold

 INTRO DUCTION 47 The Circle and the Measurement of Angles 57 BOOK IV 87 Problems relating to the Fourth Book 122 BOOK V 135 BOOK VI 156 BOOK VII 174 The Three Round Bodies 202
 Solution of Triangles 287 ANALYTICAL PLANE TRIGONOMETRY 297 of Formulas 306 Homogeneity of Terms 313 SPHERICAL TRIGONOMETRY 321 Napiers Analogies 329 Of Quadrantal Triangles 335 MENSURATION OF SURFACES 347

 BOOK IX 227 PLANE TRIGONOMETRY 255 I 261 Scale of Equal Parts 268 To Find the Degrees c Answering to a Given Logarithmic Sine c 276
 Area of a Regular Polygon 353 PAGR 358 Convex Surface of a Cone 364 270 12

### Populĉre avsnitt

Side 227 - A spherical triangle is a portion of the surface of a sphere, bounded by three arcs of great circles.
Side 34 - If two right-angled triangles have the hypothenuse and a side of the one, equal to the hypothenuse and a side of the other, each to each, the triangles are equal. Let...
Side 271 - The circumference of every circle is supposed to be divided into 360 equal parts, called degrees...
Side 278 - In any triangle, the sum of the two sides containing either angle, is to their difference, as the tangent of half the sum of the two other angles, to the tangent of half their difference.
Side 107 - 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 7 - O's, points or dots are introduced instead of the 0's through the rest of the line, to catch the eye, and to indicate that from thence the annexed first two figures of the Logarithm in the second column stand in the next lower line. N'.
Side 43 - BtSL hence the sum of all the interior and exterior angles, is equal to twice as many right angles as the polygon has sides.
Side 119 - The angle formed by a tangent and a chord is measured by half the intercepted arc.
Side 30 - B : hence the two triangles have two sides and the included angle of the one equal to two sides and the included angle of the other, each to each : hence, the two triangles are equal (Th.
Side 97 - The square described on the hypothenuse of a rightangled triangle is equal to the sum of the squares described on the other two sides.