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

### Inni boken

Resultat 1-5 av 28

Side 197

A

A

**pyramid**is a folid figure contained by planes that are confti- tuted betwixt one plane and one point above it in which they meet . XIII . Á prifm is a folid figure contained by plane figures of which two that are oppofite are equal ... Side 257

VERY

VERY

**pyramid**having a triangular base , may be di- See N. two having triangular bases , and which are fimilar to the whole py . ramid ; and into two equal prifms which together are greater than half of the whole**pyramid**. Side 258

Therefore the

Therefore the

**pyramid**of which the base is the triangle AEG , and of which the vertex is the point H , is e- qual and fimilar to the**pyramid**the bafe of which is the triangle KHL , and vertex the point D : And becaufe HK is parallel to ... Side 259

HKL : And it is manifeft that each of thefe prifms is greater than either of the

HKL : And it is manifeft that each of thefe prifms is greater than either of the

**pyramids**of which the triangles AEG ... is greater than the**pyramid**of which the bafe is the triangle EBF , and vertex the point K ; but this**pyramid**is ... Side 260

F there be two

F there be two

**pyramids**of the fame altitude , upon triangular bafes , and each of them be divided into two equal**pyramids**fimilar to the whole**pyramid**, and also into two equal prifms ; and if each of these**pyramids**be divided in the ...### 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

added alfo alſo altitude angle ABC angle BAC bafe baſe becauſe bifected Book Book XI centre circle circle ABCD circumference common cone cylinder defcribed definition demonftrated diameter divided double draw drawn equal equal angles equiangular equimultiples excefs fame fame multiple fecond fegment fhall fides fimilar firft folid folid angle fore four fourth fquare fquare of AC ftraight line given angle given in fpecies given in pofition given magnitude given ratio greater Greek half join lefs magnitude meet oppofite parallel parallelogram perpendicular plane prifms produced PROP propofition proportionals pyramid rectangle rectangle contained remaining right angles Take taken thefe THEOR theſe third triangle ABC wherefore whole

### Populære avsnitt

Side 474 - 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.