## The Elements of Euclid |

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Page 12

A right - angled triangle , is that which has a

A right - angled triangle , is that which has a

**right angle**. XXVIII . An obtuse - angled triangle , is that which has an obtuse angle . a A XXIX . An acute - angled triangle , is that which has three acute angles , XXX . Page 14

All

All

**right angles**are equal to one another . XII . “ If a straight line meet two straight lines , so as to make the “ two interior angles on the same side of it taken together less " than two**right angles**, these straight lines being ... Page 22

51 P To draw a straight line at

51 P To draw a straight line at

**right angles**to a given straight line , from a given point in the same . 1 21 9 " pe PO 06 1 C 2 Let AB be , a given straight line , and C a point given in it : See Note . it is required to draw ... Page 23

1 . line , the angle CBE is equal to the angle EBA ; in the same manner , because ABD is straight line , the angle ... 1 . straight line makes the adjacent angles equal to one another , each of them is a

1 . line , the angle CBE is equal to the angle EBA ; in the same manner , because ABD is straight line , the angle ... 1 . straight line makes the adjacent angles equal to one another , each of them is a

**right angle**, and the straight ... Page 24

Let the straight line AB make with CD , upon one side of it , the anglcs CBA , ABD ; these are either two

Let the straight line AB make with CD , upon one side of it , the anglcs CBA , ABD ; these are either two

**right angles**, or are together equal to two**right angles**. For , if the angle CBA be equal to ABD , each of them is a А ...### What people are saying - Write a review

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### Other editions - View all

The Elements of Euclid: The Errors, by Which Theon, Or Others, Have Long Ago ... Robert Simson,Robert Euclid No preview available - 2015 |

The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ... Robert Simson,Robert Euclid No preview available - 2016 |

### Common terms and phrases

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