## An Elementary Geometry |

### From inside the book

Results 1-5 of 14

Page 61

... circle and the circumference . 41. A straight line can meet the circumference of a circle in only two points . ( 4 ...

... circle and the circumference . 41. A straight line can meet the circumference of a circle in only two points . ( 4 ...

**given circumference**lies on the line that passes from the point to the centre of the circle . 46. Two parallels ... Page 65

...

...

**given**, any two of them , as A and B , may be joined by a straight line ; then this is the same as the 1st case . 3d ...**circumference**of a**circle**whose cen- tre is the foot of the perpendicular . Of two unequal lines the greater is more ... Page 95

...

...

**circumference**may be made to pass through any three**given**points ; or a cir- cle circumscribed about a**given**triangle ; or about a**given**regular polygon ( II . 34 ) . PROBLEM XIII . 16. To inscribe a**circle**in a**given**triangle . Let A B C ... Page 96

...

...

**given circle**BDE ; on AC as a diameter describe a cir- cle cutting the**given circle**in B and E D A D. Draw A B and A D , and each will be tangent to the**given circle**through the given point . For drawing the radii CB , CD , the angles B ... Page 97

...

...

**circle**, and hence the angle A B D is measured by half the arc A G B ( III . 54 ) ; and any angle BFA inscribed in the segment BFA is also meas- ured by half the arc AGB ( III . 21 ) , and is therefore equal to the angle ABD or the**given**...### Other editions - View all

### Common terms and phrases

A B C A B D ABCD adjacent adjacent angles altitude angle ABC apothem base and altitude centre chord circ circumference cone construct the triangle convex surface Corollary cylinder diagonals diameter distance divided dodecagon equal altitudes equally distant equilateral feet frustum given angle given circle given line given point given side half the arc hexagon homologous sides hypothenuse included angle infinite number inscribed internal angles intersection isosceles triangle Let ABCDEF line joining lines A B measured by half mutually equiangular number of sides opposite sides parallelogram parallelopiped perimeter perpendicular plane parallel quadrilateral radii radius ratio rectangle regular polygon respectively equal rhombus right angles right prism right pyramid right triangle Scholium secant segment similar triangles slant height sphere tangent THEOREM VII trapezoid triangle ABC triangles are equal vertex