# Elements of Geometry and Trigonometry

A. S. Barnes and Company, 1838 - 359 páginas

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### Contenido

 BOOK 7 Problems relating to the First and Third Books 57 Problems relating to the Fourth Book 98 Regular Polygons and the Measurement of the Circle 109 BOOK 126 BOOK 142 BOOK WIII 166 Division of the Circumference 207
 Description of Table of Logarithmic Sines 228 Principles for the Solution of Rectilineal Triangles 237 Solution of Right angled Triangles 243 Solution of Triangles in general 252 Solution of Oblique angled Triangles by Logarithms 259 Mensuration of Surfaces 274 Mensuration of Solids 285 The regular Polyedrons 294

### Pasajes populares

Página 213 - The circumference of every circle is supposed to be divided into 360 equal parts called degrees, and each degree into 60 equal parts called minutes, and each minute into 60 equal parts called seconds, and these into thirds, fourths, &c.
Página 19 - If two triangles have the three sides of the one equal to the three sides of the other, each to each, the triangles are congruent.
Página 233 - It is, indeed, evident, that the negative characteristic will always be one greater than the number of ciphers between the decimal point and the first significant figure.
Página 241 - In every plane triangle, the sum of two sides is to their difference as the tangent of half the sum of the angles opposite those sides is to the tangent of half their difference.
Página 168 - The radius of a sphere is a straight line drawn from the centre to any point of the surface ; the diameter or axis is a line passing through this centre, and terminated on both sides by the surface.
Página 18 - America, but know that we are alive, that two and two make four, and that the sum of any two sides of a triangle is greater than the third side.
Página 155 - AG, AK. The two solids AG, AQ having the same base AEHD, are to each other as their altitudes AB, AO. In like manner, the two solids AQ, AK having the same base AOLE, are to each other as their altitudes AD, AM. Hence we have the two proportions sol.
Página 16 - If 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, the two triangles will be equal in all their parts." Axiom 1. "Things which are equal to the same thing, are equal to each other.
Página 32 - ... is equal to twice as many right angles as the polygon
Página 287 - How many square feet are there in the convex surface of the frustum of a square pyramid, whose slant height is 10 feet, each side of the lower base 3 feet 4 inches, and each side of the upper base 2 feet 2 inches ? Ans.