## Elements of Geometry: Containing the First Six Books of Euclid, with a Supplement on the Quadrature of the Circle, and the Geometry of Solids; to which are Added, Elements of Plane and Spherical Trigonometry |

### Inni boken

Resultat 1-5 av 47

Side 7

An equilateral polygon , is one which has all its sides equal ; an

polygon , one which has all its angles equal . 32. Two polygons are mutually

equilateral , when they have their sides equal to each other , and placed in the

same ...

An equilateral polygon , is one which has all its sides equal ; an

**equiangular**polygon , one which has all its angles equal . 32. Two polygons are mutually

equilateral , when they have their sides equal to each other , and placed in the

same ...

Side 10

Every equilateral triangle is also

triangles ADC , BDC , proves also that AD is equal to BD , and the angle ADC

equal to the angle BDC ; hence , these two are right angles : hence , the line ...

Every equilateral triangle is also

**equiangular**. SCHOLIUM . The equality of thetriangles ADC , BDC , proves also that AD is equal to BD , and the angle ADC

equal to the angle BDC ; hence , these two are right angles : hence , the line ...

Side 11

ACB , the less to the greater ; which is absurd . B Therefore , AB is not unequal to

AC , that is , it is equal to it . Cor . Hence every

equilateral . PROP . Y. THEOR . When two triangles have all the three sides in

the one ...

ACB , the less to the greater ; which is absurd . B Therefore , AB is not unequal to

AC , that is , it is equal to it . Cor . Hence every

**equiangular**triangle is alsoequilateral . PROP . Y. THEOR . When two triangles have all the three sides in

the one ...

Side 23

is also

angles ; so that if the right angle is expressed by unity , the angle of an equilateral

triangle will be expressed by of one right angle . PROP . XXVI . THEOR . All the ...

is also

**equiangular**, each of its angles will be equal to the third part of two rightangles ; so that if the right angle is expressed by unity , the angle of an equilateral

triangle will be expressed by of one right angle . PROP . XXVI . THEOR . All the ...

Side 24

The sum of the angles of a pentagon is equal to two right angles multiplied by 5—

2 , which amounts to six right angles ; hence , when a pentagon is

each angle is equal to the fifth part of six right angles , or of one right angle .

The sum of the angles of a pentagon is equal to two right angles multiplied by 5—

2 , which amounts to six right angles ; hence , when a pentagon is

**equiangular**,each angle is equal to the fifth part of six right angles , or of one right angle .

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Elements of Geometry: Containing the First Six Books of Euclid with a ... John Playfair Uten tilgangsbegrensning - 1855 |

Elements of Geometry: Containing the First Six Books of Euclid, with a ... Euclid,John Playfair Uten tilgangsbegrensning - 1853 |

Elements of Geometry: Containing the First Six Books of Euclid, with a ... John Playfair Uten tilgangsbegrensning - 1847 |

### Vanlige uttrykk og setninger

ABCD altitude angle ABC angle BAC base bisected Book called centre chord circle circumference coincide common consequently construction cosine cylinder definition demonstrated described diameter difference distance divided double draw drawn equal equal angles equiangular equilateral Euclid exterior angle extremities fall fore four fourth given given straight line greater half Hence inscribed interior join less Let ABC magnitudes manner meet multiple opposite parallel parallelogram pass perpendicular plane polygon prism Prob produced PROP proportional proposition proved radius ratio reason rectangle contained rectilineal figure remaining right angles segment shewn sides similar sine solid square straight line taken tangent THEOR third touch triangle ABC wherefore whole