## Elements of Geometry and Trigonometry |

### From inside the book

Page 2

DAVIES ' FIRST LESSONS IN ALGEBRA ; Being an introduction to the Science , and

DAVIES ' FIRST LESSONS IN ALGEBRA ; Being an introduction to the Science , and

**forming**a connecting link between ARITHMETIC and ALGEBRA . DAVIES ' ELEMENTS OF GEOMETRY . This work embraces the elementary principles of Geometry . Page 14

The sum of all the successive angles , BAC , CAD , DAE , EAF ,

The sum of all the successive angles , BAC , CAD , DAE , EAF ,

**formed**on the same side of the straight line BF , is equal to two right angles ; for their sum is equal to that of the two adjacent an- , gles , BAC , CAF . Page 16

The four angles

The four angles

**formed**about a point by two straight lines , which intersect each other , are together equal to four right angles : for the sum of the two angles ACE , ECB , is equal to two right angles ; and the sum of the other two ... Page 26

When two parallel straight lines AB , CD , are met by a third line FE , the angles which are

When two parallel straight lines AB , CD , are met by a third line FE , the angles which are

**formed**take particular names . Interior angles on the same side , are those which lie within the parallels , and on the same side of the secant ... Page 27

We see that of the eight angles

We see that of the eight angles

**formed**by a line cutting two parallel lines obliquely , the four acute angles are equal to each other , and so also are the four obtuse angles . E PROPOSITION XXI . THEOREM . If a straight line meet two ...### 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