## Elements of Geometry and Trigonometry |

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Page 41

Every straight line , CA , CE , CD , drawn from the centre to the circumference , is called a radius or semidiameter ; every line which , like AB ,

Every straight line , CA , CE , CD , drawn from the centre to the circumference , is called a radius or semidiameter ; every line which , like AB ,

**passes**through the centre , and is terminated on both sides by the circumference ... Page 45

But two points are sufficient to determine the position of a straight line ; hence every straight line which

But two points are sufficient to determine the position of a straight line ; hence every straight line which

**passes**through two of the points just mentioned , will necessarily**pass**through the third , and be perpendicular to the chord . Page 46

Through three given points not in the same straight line , one circumference may always be made to

Through three given points not in the same straight line , one circumference may always be made to

**pass**, and but one . Let A , B , and C , be the given points . Draw AB , BC , and bisect these straight lines by the perpendiculars DE ... Page 49

If two circles cut each other in two points , the line which

If two circles cut each other in two points , the line which

**passes**through their centres , will be perpendicular to ... Now if a perpendicular be erected from the middle of this chord , it will**pass**through each of the two centres C ... Page 50

All circles which have their centres on the right line AD . and which

All circles which have their centres on the right line AD . and which

**pass**through the point A , are tangent to each other . For , they have only the point A common , and if through the point A , AE be drawn perpendicular to AD ...### 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