## The first three books of Euclid's Elements of geometry, with theorems and problems, by T. Tate |

### Inni boken

Resultat 1-5 av 5

Side 14

To draw a

length , from a given point without it .

be produced to any length both ways , and

to ...

To draw a

**straight**line perpendicular to a given**straight**line of an unlimitedlength , from a given point without it .

**Let**AB be the given**straight**line , which**may**be produced to any length both ways , and

**let**c be a point without it . It is requiredto ...

Side 15

If , at a point in a

it , make the adjacent angles together equal to ... At the point B in the

AB ,

If , at a point in a

**straight**line , two other**straight**lines , upon the opposite sides ofit , make the adjacent angles together equal to ... At the point B in the

**straight**lineAB ,

**let**the two**straight**lines BC , BD upon the opposite sides of A B , make the ... Side 25

angles AGH , GHD are equal to one another ; and the exterior angle EGB is

equal to the interior and opposite , upon the same side , GHD ; and the two

interior ...

**Let the straight**line EF fall upon the parallel straight lines A B , CD ; the alternateangles AGH , GHD are equal to one another ; and the exterior angle EGB is

equal to the interior and opposite , upon the same side , GHD ; and the two

interior ...

Side 26

B В H

parallel straight lines A B , EF , the angle agh is equal ( I. 29. ) A to the angle GHF

. Again , because the E. F straight line gak cuts the parallel straight lines EF , CD ,

the ...

B В H

**Let the straight**line gak cut AB , EF , CD ; and because GHK cuts theparallel straight lines A B , EF , the angle agh is equal ( I. 29. ) A to the angle GHF

. Again , because the E. F straight line gak cuts the parallel straight lines EF , CD ,

the ...

Side 69

A If a straight line touches a circle , and from the point of contact a straight line be

drawn at right angles to the touching line , the centre of the circle shall be in that

line .

A If a straight line touches a circle , and from the point of contact a straight line be

drawn at right angles to the touching line , the centre of the circle shall be in that

line .

**Let the straight**line de touch the circle ABC in • c , and from c let ca be ...### Hva folk mener - Skriv en omtale

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### Andre utgaver - Vis alle

The first three books of Euclid's Elements of geometry, with theorems and ... Euclides Uten tilgangsbegrensning - 1851 |

The First Three Books of Euclid's Elements of Geometry from the Text of Dr ... Euclid,Thomas Tate Ingen forhåndsvisning tilgjengelig - 2014 |

The First Three Books of Euclid's Elements of Geometry from the Text of Dr ... Euclid,Thomas Tate Ingen forhåndsvisning tilgjengelig - 2014 |

### Vanlige uttrykk og setninger

ABCD alternate angle ABC angle ACB angle BAC angle equal base BC BC is equal bisect centre circle ABC circumference coincide common construct demonstrated describe diameter divided double draw equal to FB equilateral exterior angle extremity figure fore four given point given straight line greater half impossible interior isosceles triangle join less Let ABC Let the straight likewise meet opposite angles opposite sides parallel parallelogram pass perpendicular PROB produced PROP Q.E.D. PROP rectangle contained remaining angle right angles segment semicircle shown side bc sides squares of AC straight lines AC Take taken THEOR third touch touches the circle triangle ABC twice the rectangle vertex wherefore whole

### Populære avsnitt

Side 6 - If a straight line meets two straight lines, so as to make the two interior angles on the same side of it taken together less than two right angles...

Side 5 - Let it be granted that a straight line may be drawn from any one point to any other point.

Side 20 - If two triangles have two sides of the one equal to two sides of the...

Side 30 - Parallelograms upon equal bases, and between the same parallels, are equal to one another.

Side 17 - Any two angles of a triangle are together less than two right angles. Let ABC be any triangle ; any two of its angles together are less than two right angles.

Side 84 - IF from a point without a circle there be drawn two straight lines, one of which cuts the circle, and the other meets it; if the rectangle contained by the whole line which cuts the circle, and the part of it without the circle, be equal to the square of the line which meets it, the line which meets it shall touch the circle.

Side 82 - If from any point without a circle two straight lines be drawn, one of -which cuts the circle, and the other touches it; the rectangle contained by the whole line which cuts the circle, and the part of it without the circle, shall be equal to the square of the line which touches it.

Side 11 - UPON the same base, and on the same side of it, there cannot be two triangles that have their sides which are terminated in one extremity of the base equal to one another, and likewise those which are terminated in the other extremity.

Side 19 - To make a triangle of which the sides shall be equal to three given straight lines, but any two whatever of these must be greater than the third, (i.

Side 7 - From the greater of two given straight lines to cut off a part equal to the less. Let AB and C be the two given straight lines, whereof AB is the greater.