## 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 41

Side 61

THE che circumference A. THE

the centre to the circumference . I. A straight line is said to touch a circle , when it

meets the eirele , and being produced does not cut it . II . Circles are said to touch

...

THE che circumference A. THE

**radius**of a circle is the straight line drawn fromthe centre to the circumference . I. A straight line is said to touch a circle , when it

meets the eirele , and being produced does not cut it . II . Circles are said to touch

...

Side 97

Otherwise : 6 Divide the

by the whole and one of the parts may be equal to the square of the other ( 11. 2.

) . Apply in the circle , on each side of a given point , a line equal to the greater ...

Otherwise : 6 Divide the

**radius**of the given circle , so that the rectangle confuinedby the whole and one of the parts may be equal to the square of the other ( 11. 2.

) . Apply in the circle , on each side of a given point , a line equal to the greater ...

Side 101

From this it is manifest , that the side of the bexagon is equal to the straight line

from the centre , that is , to the

C , D , E , F , there be drawn straight lines touching the circle , an equilateral and

...

From this it is manifest , that the side of the bexagon is equal to the straight line

from the centre , that is , to the

**radius**of the circle . And if through the points A , B ,C , D , E , F , there be drawn straight lines touching the circle , an equilateral and

...

Side 150

If two points be taken in the diameter of a circle , such that the rectangle

contained by the segments intercepted between them and the centre of the circle

be equal to the square of the

be drawn ...

If two points be taken in the diameter of a circle , such that the rectangle

contained by the segments intercepted between them and the centre of the circle

be equal to the square of the

**radius**: and if from these points two straight Kinesbe drawn ...

Side 153

DO From A as a centre with the

the circle CFG : produce AB to meet the circumference in E and F , and CB to

meet it in G. Then because AF = AC , BF = AB + AC , the sum of the sides ; and ...

DO From A as a centre with the

**radius**AC , the greater of the two sides , describethe circle CFG : produce AB to meet the circumference in E and F , and CB to

meet it in G. Then because AF = AC , BF = AB + AC , the sum of the sides ; and ...

### Hva folk mener - Skriv en omtale

Vi har ikke funnet noen omtaler på noen av de vanlige stedene.

### Andre utgaver - Vis alle

Elements of Geometry: Containing the First Six Books of Euclid, with a ... Euclides,John Playfair Uten tilgangsbegrensning - 1826 |

Elements of Geometry: Containing the First Six Books of Euclid, with a ... Euclid,John Playfair Uten tilgangsbegrensning - 1851 |

Elements of Geometry;: Containing the First Six Books of Euclid, with a ... Formerly Chairman Department of Immunology John Playfair Ingen forhåndsvisning tilgjengelig - 2016 |

### Vanlige uttrykk og setninger

ABCD altitude angle ABC angle BAC arch base bisected Book called centre circle circle ABC circumference coincide common contained cosine cylinder definition demonstrated described diameter difference divided double draw drawn equal equal angles equiangular Euclid exterior angle extremity fall fore four fourth given given straight line greater half inscribed interior join less Let ABC magnitudes manner meet multiple opposite parallel parallelogram pass perpendicular plane polygon prism produced PROP proportionals proposition proved Q. E. D. PROP radius ratio reason rectangle contained rectilineal figure right angles segment shown sides similar sine solid square straight line taken tangent THEOR thing third touches triangle ABC wherefore whole

### Populære avsnitt

Side 125 - If two triangles have one angle of the one equal to one angle of the other and the sides about these equal angles proportional, the triangles are similar.

Side 39 - THE straight lines which join the extremities of two equal and parallel straight lines, towards the same parts, are also themselves equal and parallel. Let AB, CD be equal and parallel straight lines, and joined towards the same parts by the straight lines AC, BD ; AC, BD are also equal and parallel.

Side 41 - Parallelograms upon the same base and between the same parallels, are equal to one another.

Side 19 - BG; and things that are equal to the same are equal to one another; therefore the straight line AL is equal to BC. Wherefore from the given point A a straight line AL has been drawn equal to the given straight line BC.

Side 145 - If two triangles which have two sides of the one proportional to two sides of the other, be joined at one angle, so as to have their homologous sides parallel to one another ; the remaining sides shall be in a straight line. Let ABC, DCE be two triangles which have the two sides BA, AC proportional to the two CD, DE, viz.

Side 30 - If, from the ends of the side of a triangle, there be drawn two straight lines to a point within the triangle, these shall be less than, the other two sides of the triangle, but shall contain a greater angle.

Side 136 - FGL, have an angle in one equal to an angle in the other, and their sides about these equal angles proportionals ; the triangle ABE is equiangular (6.

Side 51 - If a straight line be divided into any two parts, the square of the whole line is equal to the squares of the two parts, together with twice the rectangle contained by the parts.

Side 20 - DEF, and be equal to it ; and the other angles of the one shall coincide with the remaining angles of the other and be equal to them, viz. the angle ABC to the angle DEF, and the angle ACB to DFE.

Side 55 - If a straight line be divided into two equal, and also into two unequal parts ; the squares on the two unequal parts are together double of the square on half the line, and of the square on the line between the points of section.