## Elements of Geometry and Trigonometry |

### From inside the book

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 angel 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 C ; then will the angle ECB be

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

**equal**to the angle ACD , and the angle ACE to the angle DCB . D B For , since the straight line DE is met by the straight line AC ...### What people are saying - Write a review

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### Common terms and phrases

ABCD adjacent altitude base become Book called centre chord circle circumference circumscribed common cone consequently contained Cosine Cotang cylinder described determine diameter difference distance divided draw drawn equal equations equivalent expressed extremities faces feet figure follows formed four frustum give given gles greater half hence homologous hypothenuse included inscribed intersection less let fall logarithm manner means measured meet middle multiplied number of sides opposite parallel parallelogram pass perpendicular plane polygon prism PROBLEM Prop proportional PROPOSITION pyramid quadrant quantities radii radius ratio reason rectangle regular remaining right angles Scholium segment sides similar Sine solid solid angle sphere spherical triangle square straight line suppose taken Tang tangent THEOREM third triangle triangle ABC unit vertex whole