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

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### Common terms and phrases

ABCD altitude angles equal axis base multiplied bisect centre chains chord circle whose diameter circular sector circumference cone consequently convex surface Cosine Cosine D Cotang cubes cubic cylinder decimal diagonal dicular distance divided draw equal altitudes equal bases equal Bk equal to half equivalent figure find the area frustum given half the arc half the product hence horizontal hypothenuse inches included angle inscribed intersection Let ABCD logarithm lower base M.
M. Sine measured by half Mensuration of Surfaces number of sides opposite angles parallel parallelogram parallelopipedon pendicular perimeter perpen perpendicular plane prism PROBLEM proportional quadrilateral radii radius ratio rectangle regular polygon Required the area rhombus right angled triangle right angles Bk S-ABCDE Scholium segment side AC similar similar triangles slant height solidity sphere straight line Tang tangent THEOREM trapezoid triangle ABC upper base 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.