## The first three books of Euclid's Elements of geometry, with theorems and problems, by T. TateLongman, Brown, Green, and Longmans, 1849 - 108 páginas |

### Dentro del libro

Resultados 1-5 de 16

Página 12

... ( Constr . ) ; there- fore the base AD is equal to the base ( I. 4. ) DB , and the straight line AB is

... ( Constr . ) ; there- fore the base AD is equal to the base ( I. 4. ) DB , and the straight line AB is

**divided**into two equal parts in the point D. Which was to be done . C A D B PROP . XI . PROB . To draw a straight 12 EUCLID'S ELEMENTS . Página 27

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**divided**into as many triangles as the figure has sides , by drawing straight lines from a point F within the figure to each of its angles . And , by the preceding propo- sition , all the angles of these triangles are equal to twice as ... Página 39

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**divided**into any number of parts ; the rectangle contained by the two straight lines , is equal to the rectangles contained by the undivided line , and the several parts of the**divided**line . Let A and BC be two straight lines ; and let ... Página 40

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**divided**into any two parts , the rect- angles contained by the whole and each of the parts are together equal to the square of the whole line . C B Let the straight line AB be**divided**into any two parts in the point c ; the rectangle ... Página 41

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**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 . Let the straight line AB be**divided**into any two parts in c ; the square of ...### Otras ediciones - Ver todas

The First Three Books of Euclid's Elements of Geometry from the Text of Dr ... Euclid,Thomas Tate Sin vista previa disponible - 2014 |

The First Three Books of Euclid's Elements of Geometry from the Text of Dr ... Euclid,Thomas Tate Sin vista previa disponible - 2014 |

### Términos y frases comunes

ABCD adjacent angles angle ABC angle ACB angle AGH angle BAC angle BCD angle CAB angle EDF angle equal angles CBA base BC BC is equal bisect centre circle ABC circumference diameter divided double draw a straight equal angles equal circles equal straight lines equal to FB exterior angle fore given point given rectilineal angle given straight line gnomon greater half a right hypotenuse isosceles triangle less Let ABC Let the straight line be drawn opposite angles parallel parallelogram perpendicular PROB produced Q. E. D. PROP rectangle AE rectangle contained rectilineal figure remaining angle right angles segment semicircle side BC square of AC straight line AB straight line AC straight line drawn THEOR touches the circle trapezium triangle ABC twice the rectangle vertex vertical angle

### Pasajes populares

Página 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...

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

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

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

Página 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.

Página 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.

Página 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.

Página 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.

Página 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.

Página 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.