## An Elementary Geometry |

### From inside the book

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**Altitude**of a triangle is the perpendic- ular distance from the opposite vertex to the base , or to the base produced ; as B D. 4. The**Altitude**of a parallelogram is the perpendicular distance from the opposite side to the base ; as IK ... Page 32

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**altitude**. Let ABCD be a rectangle ; its area ADXA B. BO P Q R C G N F M S E L A H I J K D Suppose AB and AD to be divided into any number of equal parts , AE , EF , AH , HI , & c . , and through the points of division , lines E L , FM ... Page 33

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**altitude**. Let D F be the**altitude**of the paral- E B lelogram ABCD ; then the area of ABCD ADX DF . = A F C D At A draw the perpendicular A E meet- ing CB produced in E ; A EFD is a rectangle equivalent to the parallelogram ABC D. For ... Page 34

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**altitudes**. For if A and a represent the alti- tudes of two triangles T and t , and B and b their bases , their areas ...**altitude**of the trape- zoid ABCD ; then the area of ABCD EFX ( B C + A D ) . - Draw the diagonal BD ; it will di ... Page 35

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**altitude**and the line joining the middle points of the sides which are not parallel . THEOREM VI . 16. A line drawn ...**altitude**; therefore ( 13 ) ADE : EDC AE : EC B D A And the triangles A D E and DE B , having the same vertex E ...### 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