## Elements of Geometry and Trigonometry |

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Page 30

If from the vertex of any one angle A , diagonals B AC , AD , AE , AF , be drawn to the vertices of all the opposite angles , it is plain that the polygon will be

If from the vertex of any one angle A , diagonals B AC , AD , AE , AF , be drawn to the vertices of all the opposite angles , it is plain that the polygon will be

**divided**into five triangles , if it has seven sides ; into six triangles ... Page 33

B For , draw the diagonal DB ,

B For , draw the diagonal DB ,

**dividing**the quadrilateral into two triangles . Then , A since AB is parallel to DC , the alternate angles ABD , BDC , are equal ( Prop . XX . Cor . 2. ) ; moreover , the side DB is common , and the side ... Page 34

Ratio is the quotient arising from

Ratio is the quotient arising from

**dividing**one quantity by another quantity of the same kind . ... Thus , of two magnitudes , one of them may be considered to be**divided**into some number of equal parts , each of the same kind as the ... Page 35

Two quantities A and B are said to be reciprocally proportional , or , invasely proportional , when one of them is proportional to unity

Two quantities A and B are said to be reciprocally proportional , or , invasely proportional , when one of them is proportional to unity

**divided**by the ether , in which case ... Page 52

M q The seven partial angles ACm , mCn , nCp , & c . , into which ACB is

M q The seven partial angles ACm , mCn , nCp , & c . , into which ACB is

**divided**, being each equal to any of the four partial angles into which DCE is**divided**; each of the partial arcs Am , mn , np , & c . , will be equal to each of ...### What people are saying - Write a review

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Elements of Geometry and Trigonometry from the Works of A. M. Legendre A. M. Legendre No preview available - 2017 |

### Common terms and phrases

ABCD adjacent altitude base become Book called centre chord circle circumference circumscribed common cone consequently construction contained corresponding Cosine Cotang cylinder described diameter difference distance divided draw drawn equal equation equivalent evident expressed extremities fall figure follows formed formulas four frustum give given gles greater half hence homologous included inscribed intersection less likewise logarithm manner means measured meet middle multiplied opposite parallel parallelogram parallelopipedon pass perpendicular plane polygon prism PROBLEM produced Prop proportional PROPOSITION pyramid quantities radii radius ratio reason rectangle regular remaining right angles Scholium segment shown sides similar sine solid solid angle sphere spherical triangle square straight line Suppose surface taken tang tangent THEOREM third triangle triangle ABC vertex whole