## Elements of Geometry and Trigonometry |

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Page 10

The point of intersection A is the vertex of the A4 angle , and the lines AB , AC , are its

The point of intersection A is the vertex of the A4 angle , and the lines AB , AC , are its

**sides**. -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 ... Page 11

An equilateral triangle is one which has its three

An equilateral triangle is one which has its three

**sides**equal ; an isosceles triangle , one which has two of its**sides**equal ; a scalene triangle , one which has its three**sides**unequal . 16. A right - angled triangle is one which has ... Page 12

that is to say , when following their perimeters in the same direction , the first

that is to say , when following their perimeters in the same direction , the first

**side**of the one is equal to the first**side**of the ... In both cases , the equal**sides**, or the equal angles , are named homologous**sides**or angles . Page 16

Let the

Let the

**side**ED be equal to the**side**BA , the**side**DF to the**side**AC , and the angle D to the angle A ; then will the triangle EDF be equal to the triangle BAC . E B PROPOSITION V. THEOREM . If two triangles have two**sides**and the ... Page 17

DF is equal to AC ; therefore , the point F will fall on C , and the third

DF is equal to AC ; therefore , the point F will fall on C , and the third

**side**EF , will coincide with the third**side**BC ( Ax . 11. ) : therefore , the triangle EDF is equal to the triangle BAC ( Ax . 13. ) . Cor .### 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