Elements of Geometry and Trigonometry

A.S. Barnes & Company, 1867

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Περιεχόμενα

 BOOK 9 DEFINIT ONS End Remarks 16 BOOK II 38 Problems relating to the First and Second Books 53 53 BOOK III 69 BOOK IV 82 Measurement of Areas and Proportions of Figures 8210 109 BOOK V 116
 BOOK VI 126 Solids 126_162 143 Appendix 163164 163 OF LOGARITHMS 165176 168 APPLICATIONS OF GEOMETRY 211 MENSURATION OF SOLIDS 239 MENSURATION OF THE ROUND BODIES 248

Δημοφιλή αποσπάσματα

Σελίδα 93 - 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.
Σελίδα 7 - ... having them recorded by the Librarian, or Assistant Librarian, and promising to make good any damage they sustain, while in their possession, and to replace the same if lost, or pay a sum fixed by the Library Committee.
Σελίδα 7 - The Library Committee shall divide the books and other articles belonging to the Library into three classes, namely, (a) those which are not to be removed from the building; (b) those which may be taken only by written permission of three members of the committee; (c) those which may circulate under the following rules. Members shall be entitled to take from...
Σελίδα 97 - Two triangles of the same altitude are to each other as their bases ; and two triangles of the same base are to each other as their altitudes.
Σελίδα 138 - ... side of the triangle, CB, which remains fixed, is called the axis, or altitude of the cone, and the point C, the vertex of the cone21 If a cone be cut by a plane parallel to the base, the section will be a circle...
Σελίδα 7 - No person shall detain any book longer than four weeks from the Library, if notified that the same is wanted by another member, under a penalty of five cents per day, and no volume shall be detained longer than three months at one time under the same penalty. The Librarian shall have power by order of the Library Committee to call in any volume after it has been retained by a member for ten days. "On or before the first Wednesday in May, all books...
Σελίδα 67 - After remarking that the mathematician positively knows that the sum of the three angles of a triangle is equal to two right angles...
Σελίδα 97 - The area of a triangle is equal to half the product of its base by its altitude.
Σελίδα 236 - From eight times the chord of half the arc, subtract the chord of the whole arc, and divide the remainder by 3, and the quotient will be the length of the arc, nearly.
Σελίδα 77 - The quantities which are compared together are called the terms of the proportion. The first and last terms are called the two extremes, and the second and third terms, the two means.