## An Elementary Geometry |

### From inside the book

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**distance**on the floor from one corner to the opposite corner of a rectangular room 16 by 24 feet ? 11. If the height of the above room is 10 feet , what is the**distance**from the lower corner to the opposite upper corner ? 12. Find the ... Page 47

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**distances**of the point from the extremities of the line are called the segments . If the point is within the given line , the sum of the segments , if in the line ...**distance**equal to BC in the direction BA ; then proving BOOK II . 47. Page 62

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**distance**between the centres of two circles whose cir- cumferences cut one another , is less than the sum , but greater than the difference , of their radii . 53. Every angle inscribed in a segment greater than a semicircle is acute ... Page 72

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**distance**from K E H the base either may be . If , therefore , the planes of these sec- tions move , remaining always parallel to the bases , as the sec- tions will always be equivalent , it is evident that in moving over an equal length ... Page 78

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**distances**from each base , this plane will bisect the edges G B , HC , ID , & c . ( 39 ) ; and the area of each trapezoid is equal to its altitude multiplied by the line joining the middle points of the sides which are not parallel ( II ...### Other editions - View all

### Common terms and phrases

A B C ABCD adjacent altitude angle ABC apothem arcs A B base and altitude bisect centre chord circ circumference cone construct the triangle convex surface Corollary cube cylinder diagonals diameter distance divided dodecagon EATON'S equal altitudes equally distant equiangular equilateral feet frustum given angle given circle given line given point given side given square half the arc hexagon homologous sides hypothenuse included angle infinite number inscribed internal angles intersection isosceles triangle Let ABCDEF line joining lines A B measured by half number of sides opposite sides parallel planes parallelogram parallelopiped perimeter perpendicular plane parallel quadrilateral radii radius ratio rectangle regular polygon respectively equal rhombus right angles right prism right pyramid right triangle Scholium secant segment similar triangles slant height sphere tangent THEOREM VII trapezoid triangle ABC vertex

### 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.