## Elements of Geometry and Trigonometry |

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Page 11

An equilateral triangle is one which has its three sides

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 13

Things which are

Things which are

**equal**to the same thing , are**equal**to each other . 2. If**equals**be added to**equals**, the wholes will be**equal**. 3. If**equals**be taken from**equals**, the remainders will be .**equal**. 4. If**equals**be added to unequals ... Page 14

If one straight line meet another straight line , the sum of the two adjacent angles will be

If one straight line meet another straight line , the sum of the two adjacent angles will be

**equal**to two right angles . E Let the straight line DC meet the straight line AB at C , then will the angle ACD + the angle DCB , be**equal**to ... Page 15

Hence , the angle FCD is

Hence , the angle FCD is

**equal**to the angle FCE ( Ax . 10. ) ; which can only be the case when the lines CD and CE coincide : therefore , the straight lines which have two points A and B common , cannot separate at any point ... Page 16

Let AB and DE be two straight A lines , intersecting each other at Č ; then will the angle ECB be

Let AB and DE be two straight A lines , intersecting each other at Č ; then will the angle ECB be

**equal**to the angle ACD , and the angle ACE to the angle DCB . B For , since the straight line DE is met by the straight line AC , the sum ...### 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