## Elements of Geometry and TrigonometryA.S. Barnes & Company, 1867 |

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### Common terms and phrases

altitude axis base base multiplied called centre chord circle circumference column common cone consequently contain convex surface Cosine Cotang cubes cubic cylinder decimal described diagonal diameter difference distance divided draw drawn entire equal equivalent EXAMPLES extremity faces feet figure follows formed four frustum given gives greater hence horizontal inches included inscribed intersection length less Let ABCD logarithm mean measured meet number of sides opposite parallel parallelogram pass perimeter perpendicular plane polygon prism PROBLEM proportional pyramid quadrilateral quantities radius ratio rectangle regular remaining right angles RULE scale segment sides similar Sine slant height solidity sphere square straight line suppose Tang tangent THEOREM third triangle triangle ABC unit upper viii volume yards

### Popular passages

Page 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.

Page 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.

Page 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...

Page 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.

Page 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...

Page 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...

Page 67 - After remarking that the mathematician positively knows that the sum of the three angles of a triangle is equal to two right angles...

Page 97 - The area of a triangle is equal to half the product of its base by its altitude.

Page 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.

Page 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.