## An Elementary Geometry |

### From inside the book

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**sides**of the angle . A If there is but one angle , it can be designated by the letter at its vertex , as the angle B ; but when a**number**of angles have the same vertex , each angle is designated by three letters , the middle letter ... Page 5

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**sides**of it make the sum of the adjacent angles equal to two right angles , these two lines form a straight line ...**number**of the Book is prefixed . THEOREM IV . 12. Two angles whose**sides**have the BOOK I. 5. Page 31

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**number**of times the polygon contains the square unit that is taken as a standard . 2. Equivalent Polygons are those ...**sides**; as PR . THEOREM I. L R 6. Two polygons mutually equiangular and equilateral are equal . Let ABCDEF and GHIKLM be ... Page 32

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**number**of equal parts , AE , EF , AH , HI , & c . , and through the points of division , lines E L , FM , HO , IP , & c . be drawn parallel to the**sides**of the rectangle ; then the rectangle will be divided into squares ; these squares ... Page 40

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**sides**. Let ABC and DEF be two similar triangles ; then 2 ABC : DEF - AC2 : DF2 Draw BG and EH perpendic- ular ...**number**of similar triangles . Let ABCDEF and GHIKLM be similar poly- gons ; they can be divided 4 into the same**number**of ...### Other editions - View all

### Common terms and phrases

A B C A B D ABCD adjacent adjacent angles altitude angle ABC apothem base and altitude centre chord circ circumference cone construct the triangle convex surface Corollary cylinder diagonals diameter distance divided dodecagon equal altitudes equally distant equilateral feet frustum given angle given circle given line given point given side 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 mutually equiangular number of sides opposite sides 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 triangles are equal vertex