## Elements of Geometry and Trigonometry |

### From inside the book

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Page 10

-B The angle is sometimes designated simply by the letter at the vertex A ; sometimes by the three letters BAC , or CAB , the letter at the vertex being always placed in the

-B The angle is sometimes designated simply by the letter at the vertex A ; sometimes by the three letters BAC , or CAB , the letter at the vertex being always placed in the

**middle**. Angles , like all other quantities , are susceptible ... Page 20

Let the side BA be equal to the side AC ; then will the angle C be equal to the angle B. For , join the vertex A , and D the

Let the side BA be equal to the side AC ; then will the angle C be equal to the angle B. For , join the vertex A , and D the

**middle**point of the base BC . Then , the triangles BAD , DAC , will have all the sides of the one equal to ... Page 23

If from the

If from the

**middle**point of a straight line , a perpendicular be drawn to this line ; 1st , Every point of the perpendicular will be equally distant from the extremities of the line . 2d , Every point , without the perpendicular ... Page 24

Let AB be the given straight line , C the

Let AB be the given straight line , C the

**middle**point , and ECF the perpendicular . First , Since AC = CB , the two oblique lines AD , DB , are equally distant from the perpendicular , and therefore equal ( Prop . XV . ) . Page 25

... BD , meet the third line BA , making the angles BAC , ABD , together equal to two right angles : then the lines EC , BD , will be parallel . From G , the

... BD , meet the third line BA , making the angles BAC , ABD , together equal to two right angles : then the lines EC , BD , will be parallel . From G , the

**middle**point of BA , draw the straight line EGF , B perpendicular to EC .### 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