## ELEMENTARY SYNTHETIC GEOMETRY OF THE POINT, LINE AND CIRCLE IN THE PLANE |

### From inside the book

Results 1-5 of 23

Page 7

... will mean a straight line . rule " 01 16o . The straight - edge " is a strip of wood ,

metal , or other solid with one edge made straight . Its common use is to guide the

pen or

... will mean a straight line . rule " 01 16o . The straight - edge " is a strip of wood ,

metal , or other solid with one edge made straight . Its common use is to guide the

pen or

**pencil**in drawing lines in Practical Geometry . 17o . A Plane is a surface ... Page 15

Let an inextensible thread fixed at O be kept stretched by a

when P moves , keeping the thread straight , OP becomes a radius vector rotating

about the pole 0 . When the vector rotates from direction OP to direction OP ' it ...

Let an inextensible thread fixed at O be kept stretched by a

**pencil**at P. Then ,when P moves , keeping the thread straight , OP becomes a radius vector rotating

about the pole 0 . When the vector rotates from direction OP to direction OP ' it ...

Page 38

In the practical process of drawing a line or curve by a

locus . In geometric applications the point , known as the generating point ,

moves ...

In the practical process of drawing a line or curve by a

**pencil**, the point of the**pencil**becomes a variable ( physical ) point , and the line or curve traced is itslocus . In geometric applications the point , known as the generating point ,

moves ...

Page 66

When it is made to slide over two pins A and B , a

through A and B. M an А B D B 0 A 108 ° . Theorem .-- The angle between two

intersecting secants is the sum of those angles in the circle which stand on the

arcs ...

When it is made to slide over two pins A and B , a

**pencil**at P traces arc passingthrough A and B. M an А B D B 0 A 108 ° . Theorem .-- The angle between two

intersecting secants is the sum of those angles in the circle which stand on the

arcs ...

Page 158

A set of three or more lines meeting in a point is a

The point is the vertex or centre of the

0 , and let L denote any other transversal through 0 . Then AD , A'D ' , and L are ...

A set of three or more lines meeting in a point is a

**pencil**and the lines are rays .The point is the vertex or centre of the

**pencil**. Cor . 1. Let the transversals meet in0 , and let L denote any other transversal through 0 . Then AD , A'D ' , and L are ...

### What people are saying - Write a review

We haven't found any reviews in the usual places.

### Other editions - View all

### Common terms and phrases

ABCD algebraic altitude base becomes called centre centre-line chord circle coincide collinear common concurrent congruent considered constant construct Converse corresponding cuts denote describe determine diagonals diameter difference direction distance divided draw drawn equal expressed external figure fixed point four geometric given given line given point gives greater harmonic Hence internal intersect inverse joins length lies line-segment mean measure median meet middle point opposite opposite sides orthogonally pair parallel passes pencil perpendicular perspective placed plane polar polygon position Proof proved quadrangle radical axis radius range ratio reciprocal rectangle regular relation remaining respect right angle right bisector rotation segment sides similar Similarly similitude square straight symbol taken tangent theorem touch triangle vertex vertices

### Popular passages

Page 176 - The square described on the hypothenuse of a rightangled triangle is equal to the sum of the squares described on the other two sides.

Page 183 - The sides of a triangle are proportional to the sines of the opposite angles.

Page 260 - Three lines are in harmonical proportion, when the first is to the third, as the difference between the first and second, is to the difference between the second and third ; and the second is called a harmonic mean between the first and third. The expression 'harmonical proportion...

Page 19 - Every circumference of a. circle, whether the circle be large or small, is supposed to be divided into 360 equal parts called degrees. Each degree is divided into 60 equal parts called minutes, and each minute into 60 equal parts called seconds.

Page 77 - J_ to the given line. .'. the construction gives the perpendicular to a given line at a given point in the line.

Page 122 - And conversely, if the square on one side of a triangle is equal to the Bum of the squares on the other two sides, the angle contained by these two sides is a right angle.

Page 124 - The difference of the squares of two sides of a triangle is equal to the difference of the squares of the segments made by the altitude upon the third side.