## The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh and Twelfth |

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Page iv

261 The DATA ............. ........ 333 NOTES on the DATA ......... ... 437 PLANE TRIGONOMETRY ............. 453 CONSTRUCTION of the TRIGONOMETRICAL CANON .......... 469 Of LOGARITHMS .... 476

261 The DATA ............. ........ 333 NOTES on the DATA ......... ... 437 PLANE TRIGONOMETRY ............. 453 CONSTRUCTION of the TRIGONOMETRICAL CANON .......... 469 Of LOGARITHMS .... 476

**SPHERICAL**TRIGONOMETRY ..... 489 . Page viii

The ELEMENTS of PLANE and

The ELEMENTS of PLANE and

**SPHERICAL**TRIGONOMETRY ; the TREATISE on the CONSTRUCTION of the TRIGONOMETRICAL CANON , together with DR . ROBERTson's concise account of Logarithms ( being highly useful additions ) , are preserved in this ... Page 172

A

A

**sphere**is a solid figure described by the revolution of a semicircle about its diameter , which remains . unmoved . ! XV . The axis of a**sphere**is the fixed 172 EUCLID'S ELEMENTS . Page 173

The axis of a

The axis of a

**sphere**is the fixed straight line about which the semicircle revolves . XVI . The centre of a**sphere**is the same with that of the semicircle . XVII . The diameter of a**sphere**is any straight line which passes through the ... Page 253

In the greater of two

In the greater of two

**spheres**which have the same centre , See N. to inscribe a solid polyhedron , the superficies of which shall not meet the lesser**sphere**. Let there be two**spheres**about the same centre A : it is required to inscribe ...### What people are saying - Write a review

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The Elements of Euclid: Viz. The First Six Books, Together With the Eleventh ... Euclid Euclid No preview available - 2018 |

### Common terms and phrases

added altitude angle ABC angle BAC base Book centre circle circle ABCD circumference common cone contained cylinder definition demonstrated described diameter difference divided double draw drawn equal equal angles equiangular equimultiples Euclid excess figure fore four fourth given angle given in position given in species given magnitude given ratio given straight line greater Greek half join less likewise logarithm magnitude manner meet multiple opposite parallel parallelogram pass perpendicular plane prism produced PROP proportionals proposition proved pyramid radius reason rectangle rectilineal figure remaining right angles segment shewn sides similar sine solid sphere square square of AC taken THEOR third triangle ABC wherefore whole