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

### Inni boken

Resultat 1-5 av 100

Side 16

**Wherefore**from the given point A a straight line AL has been drawn equal to the given Atraight line BC . Which was to be done . PROP . III . PROB . Side 17

Ax . the base BC shall coincide with the base EF , and be equal

Ax . the base BC shall coincide with the base EF , and be equal

**Wherefore**the whole triangle ABC shall coincide with the whole triangle DEF , and be equal ... Side 21

EAF ;

EAF ;

**wherefore**the given rectilineal angle BAC is bisected by the straight line AF . Which was to be done . 1 . PRO P. X. PRO B. TO O bisect a given finite ... Side 25

**Wherefore**, if at a point , & c . Q. E. D. PRO P. XV . THEOR . IF.two straight lines cut one another , the vertical , or op, Let the two straight lines AB ... Side 33

... therefore the angle GCB is equal to the angle DFE ; but DFE is , by the hypothesis , equal to the angle BCA ;

... therefore the angle GCB is equal to the angle DFE ; but DFE is , by the hypothesis , equal to the angle BCA ;

**wherefore**also the angle BCG is equal to ...### 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.