## 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

Results 1-5 of 17

Page 72

... circle in C. Because DAF is a right angle , it is greater than the angle AFD ( 32. 1. ) ; but the greater angle of ...

... circle in C. Because DAF is a right angle , it is greater than the angle AFD ( 32. 1. ) ; but the greater angle of ...

**touches the circle**; and that it touches it only in one point ; because , if it did meet the circle in two , it would ... Page 73

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**touches the circle**( 1 Cor . 16.3 . ) : therefore AB**touches the circle**; and is drawn from the given point A. E B But if the given point be in the circumference of the circle , as the poin D , draw DE to the centre E , and DF at right ... Page 74

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**circle**, and from the point of contact a straight line be drawn at right angles to the**touching**line , the centre of ...**touches**the cir- cle ABC , and FC is drawn from the centre to the point of contact , FC is perpendicular ( 18. 3 ) ... Page 81

... touch a circle , and from the point of contact a straight line be drawn cutting the circle , the angles made by this line with the line which

... touch a circle , and from the point of contact a straight line be drawn cutting the circle , the angles made by this line with the line which

**touches the circle**, shall be equal to the angles in the alternate seg- ments of the circle ... Page 82

... circle , containing an angle equal to a given rectilineal angle Let AB be the given straight line , and the angle at ...

... circle , containing an angle equal to a given rectilineal angle Let AB be the given straight line , and the angle at ...

**touches the circle**; and because AB , drawn from the point of contact A , cuts the circle , the angle DAB is equal ...### 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