## An Elementary Geometry |

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A B C adjacent altitude base bisect Book called centre chord circle circumference coincide cone Converse convex surface Corollary cylinder DEFINITIONS demonstration describe diagonals diameter difference direction distance divided draw drawn equal equiangular equilateral equivalent extremities faces feet figure formed four frustum given angle given line given point given side greater half hexagon homologous included angle infinite inscribed internal angles intersection isosceles triangle mean measured meet middle multiplied opposite sides parallel parallel planes parallelogram passing perimeter perpendicular plane plane parallel polygon prism PROBLEM proportion propositions proved quadrilateral quantities radii radius ratio rectangle regular polygon right angles right triangle segment sides similar sphere square straight line tangent THEOREM third triangle triangle ABC vertex vertices volume whole

### Popular passages

Page 25 - Four quantities are in proportion when the ratio of the first to the second is equal to the ratio of the third to the fourth.

Page 30 - If any number of quantities are proportional, any antecedent is to its consequent as the sum of all the antecedents is to the sum of all the consequents. Let a : b = c : d = e :f Now ab = ab (1) and by Theorem I.

Page 27 - If the product of two quantities is equal to the product of two others, the...

Page 43 - The area of a regular polygon is equal to half the product of its perimeter and apothem.

Page 11 - 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 23 - If two triangles have two sides of one respectively equal to two sides of the other, but the third sides unequal...

Page 20 - ... polygon, is equal to twice as many right angles as the polygon has sides minus two.

Page 49 - A Circle is a plane figure bounded by a curved line every point of which is equally distant from a point within called the center.

Page 70 - A right cylinder is a solid described by the revolution of a rectangle about one of its sides.

Page 64 - DEFINITIONS. 1 . A straight line is perpendicular to a plane, when it is perpendicular to every straight line of the plane which it meets.