## The First Six Books: Together with the Eleventh and Twelfth |

### Inni boken

Resultat 1-5 av 65

Side 48

PRO B. To describe a

PRO B. To describe a

**square**upon a given straight line . 2 11. 1 . b 3. I. C 31. 1 . 34. 1 . Let AB be the given straight line ; it is required to describe a**square**upon AB . From the point A draw a**AC**at right angles to AB ; and makeb ... Side 49

Atraight lines

Atraight lines

**AC**, AG upon the opposite Gides of AB , H make with it at the point A the adjacent angles equal to F ... AL ; and the**square**GB is double of the triangle FBC , because these allo are upon the fame base FB , and between ... Side 50

I. If the

I. If the

**square**described upon BC , one of the fides of the triangle ABC , be equal to the**squares**upon the other fides BA ,**AC**; the angle BAC is a right angle . From the point A draw ? AD at right angles to**AC**, and make AD equal to ... Side 52

CB Let the straight line AB be divided into A any two parts in the point C ; the rectangle contained by AB , BC , together with the rectangle * AB ,

CB Let the straight line AB be divided into A any two parts in the point C ; the rectangle contained by AB , BC , together with the rectangle * AB ,

**AC**, shall be equal to the**square**of AB . Upon AB describe a the**square**ADEB ... Side 53

and AF is the rectangle contained by BA ,

and AF is the rectangle contained by BA ,

**AC**; for it is con- Book II . tained by DA ,**AC**, of which AD is equal to ... therefore the rectangle contained by AB ,**AC**, together with the rectangle AB , BC , is equal to the**square**of AB .### Hva folk mener - Skriv en omtale

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The First Six Books: Together with the Eleventh and Twelfth Euclid Ingen forhåndsvisning tilgjengelig - 2016 |

### Vanlige uttrykk og setninger

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### Populære avsnitt

Side 483 - The circumference of every circle is supposed to be divided into 360 equal parts, called degrees ; and each degree into 60 equal parts, called minutes ; and each minute into 60 equal parts, called seconds ; and these into thirds, &c.

Side 170 - 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 81 - THE straight line drawn at right angles to the diameter of a circle, from the extremity of...

Side 105 - DEF are likewise equal (13. i.) to two right angles ; therefore the angles AKB, AMB are equal to the angles DEG, DEF, of which AKB is equal to DEG ; wherefore the remaining angle AMB is equal to the remaining angle DEF.

Side 167 - AC the same multiple of AD, that AB is of the part which is to be cut off from it : join BC, and draw DE parallel to it : then AE is the part required to be cut off.

Side 10 - When a straight line standing on another straight line makes the adjacent angles equal to one another, each of the angles is called a right angle; and the straight line which stands on the other is called a perpendicular to it.

Side 62 - AB be the given straight line ; it is required to divide it into two parts, so that the rectangle contained by the whole, and one of the parts, shall be equal to the square of the other part.

Side 112 - To describe an equilateral and equiangular pentagon about a given circle. • Let ABCDE be the given circle; it is required to describe an equilateral and equiangular pentagon about the circle ABCDE. Let the angles of a pentagon, inscribed in the circle...

Side 200 - If two triangles have two angles of the one equal to two angles of the other, each to each, and one side equal to one side, viz. either the sides adjacent to the equal...

Side 38 - F, which is the common vertex of the triangles ; that is, together with four right angles. Therefore all the angles of the figure, together with four right angles, are equal to twice as many right angles as the figure has sides.