## 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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**straight**lines are such as are in the same plane , and which being produced ever so far both ways , do not meet . POSTULATES . 1.**LET**it be granted that a**straight**line**may**be drawn from any one point to any other point . 2. That a ... Page 12

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**straight**line .**Let**AB be the given**straight**line ; it is required to describe an equi . lateral triangle upon it . From the centre A , at the dis- tance AB , describe ( 3. Postulate ) the circle BCD , and from the cen- tre B , at the ... Page 13

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**straight**line AL is equal to BC . Wherefore , from the given point A , a**straight**line AL has been drawn equal to ...**Let**AB and C be the two given**straight**lines , whereof AB is the greater . It is required to cut off from AB , the ... Page 17

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**straight**line AF bisects the angle BAC . Because AD is equal to AE , and AF is com- mon to the two triangles DAF ...**Let**AB be the given**straight**line ; it is required to divide it into two equal parts . Describe ( 1. 1. ) upon it an ... Page 18

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**straight**line , from a given 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 C at right angles to AB F Take any point D in AC , and ( 3. 1. ) make ...### 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 spherical angle spherical triangle square straight line BC THEOR third touches the circle triangle ABC triangle DEF wherefore