## Elements of Geometry: Containing the First Six Books of Euclid: With a Supplement ... to which are Added, Elements of Plane and Sphericale Trigonometry ... From the Last London Ed., Enl |

### From inside the book

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Page 13

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**PROP**. III . PROB . From the greater of two given straight lines to cut of a part equal to the less . Let A B and C be the two given straight lines , whereof AB is the greater . It is required to cut off from AB , the greater , a part ... Page 15

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**PROP**. VI . THEOR . If two angles of a triangle be equal to one another , the sides which subtend or are opposite to them , are also equal to one another . Let ABC be a triangle having the angle ABC equal to the angle ACB ; the side AB ... Page 17

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**PROP**. IX . PROB . To bisect a given rectilineal angle , that is , to divide it into two equal angles A Let BAC be the given rectilineal angle , it is required to bisect it , Take any point D in AB , and from AC cut ( 3. 1. ) off AE ... Page 18

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**PROP**. XI . PROB . To draw a straight line at right angles to a given straight line , from a gwer point in that line . Let AB be a given straight line , and C a point given in it ; it is requi red to draw a straight line from the point ... Page 19

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**PROP**. XIII . THEOR . · The angles which one straight line makes with another upon one side of it , are either two right angles , or are together equal to two right angles . Let the straight line AB make with CD , upon one side of it ...### Other editions - View all

### Common terms and phrases

ABC is equal ABCD adjacent angles altitude angle ABC angle ACB angle BAC base BC bisected centre chord circle ABC circumference cosine cylinder demonstrated described diameter divided draw equal and similar equal angles equiangular equilateral equilateral polygon equimultiples Euclid exterior angle fore four right angles given rectilineal given straight line greater Hence hypotenuse inscribed join less Let ABC Let the straight magnitudes meet multiple opposite angle parallel parallelogram parallelopiped perpendicular polygon prism PROB PROP proportional proposition quadrilateral radius ratio rectangle contained rectilineal figure remaining angle right angled triangle SCHOLIUM segment semicircle shewn side BC sine solid angle solid parallelopiped spherical angle spherical triangle square straight line BC THEOR touches the circle triangle ABC triangle DEF wherefore