## Elementary Geometry: With Applications in Mensuration |

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altitude antecedent axis base called centre chord circle circumference common cone consequently contain convex surface cube cubic cylinder decimal described diagonal diameter difference distance divided draw drawn entire equal equal to half equivalent EXAMPLES extremity face feet figure find the area follows formed four frustum GEOMETRY given gives greater hence inches inscribed intersection join length less Let ABCD measured measured by half meet Mensuration of Surfaces multiplied opposite parallel parallelogram parallelopipedon pass perimeter perpendicular places plane polygon prism PROBLEM proportion pyramid quadrilateral quantities radii radius ratio rectangle regular right angled triangle right angles ring RULE segment sides similar slant height solidity sphere square straight line suppose tangent THEOREM third triangle triangle ABC unit viii whole yards zone

### Popular passages

Page 50 - After remarking that the mathematician positively knows that the sum of the three angles of a triangle is equal to two right angles...

Page 12 - 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 are equal in all respects.

Page 2 - For this purpose it is divided into 360 equal parts called degrees, each degree into 60 equal parts called minutes, and each minute into 60 equal parts called seconds. The degrees, minutes, and seconds are marked thus ° ' " ; and 9° 18' 16", are read, 9 degrees 18 minutes and 16 seconds.

Page 60 - BD then A is said to have the same ratio to B, that C has to D ; or, the ratio of A to B is equal to the ratio of C to D.

Page 14 - 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.

Page 120 - ... cylinder be cut by a plane parallel to the base, the section is a figure parallel and similar to the base. The one point a...

Page 114 - 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.

Page 164 - To find the area of a trapezoid. RULE. Multiply the sum of the parallel sides by the perpendicular distance between them, and then divide the product by two : the quotient will be the area (Bk.

Page 151 - This pulyedrun may be considered as formed of pyramids, each having for its vertex the centre of the sphere, and for its base one of the faces of the polyedron.

Page 121 - If a cone be cut by a plane parallel to the base, the section will be a circle.