## New Plane and Solid Geometry |

### From inside the book

Results 1-5 of 38

Page 66

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**radii**of a circle are equal . A Э Also , all its diameters are equal , since each is the sum of two**radii**. 144. Two circles are equal when their**radii**are equal . For they can evidently be applied one to the other so that their ... Page 67

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**radii**drawn to its extremities ; as OCD . 148. A straight line cannot meet a circumference at more than two points . For by 64 , not more than two equal straight lines can be drawn from a point ( in this case , the centre ) to a ... Page 70

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**radii**AC and BC will coincide with**radii**A'C ' and B'C ' , respectively . ( Ax . 6 ) 4. Then , C will coincide with C " ; that is , ≤ C = △ C ' . 157. Note . In equal circles , or in the same circle , 1. The greater of two central ... Page 71

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**radii**AC , BC , A'C ' , and B'C ' . 2. In △ ABC and A'B'C ' , by hyp . , AB = A'B ' . 3. Also , 4. Then , 5. Then , 6. Then , AC A'C " , and BC = B'C ' . = △ ABC = △ A'B'C ' . 40 = 4C . arc AB arc A'B ' . ( § 145 ) ( § ... Page 72

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**radii**OA and OB . 2. Since OA— OB , △ OAB is isosceles . = B 3. Then , CD bisects AB , and △ AOB . 4. Since 5. Again , = AOCL BOC , arc AC arc BC . LAOD = Z BOD . 6. Then , arc AD arc BD . ( § 91 ) ( § 155 ) ( § 41 , 2 ) ( ? ) 163. It ...### Other editions - View all

### Common terms and phrases

ABC and A'B'C adjacent angles altitude angle formed angles are equal apothem arc BC base and altitude bisector bisects centre chord circle circumference circumscribed coincide construct Converse of Prop diagonals diameter diedral angle distance Draw line equal parts occur equal respectively equally distant equilateral triangle exterior angle faces frustum Given line given point homologous sides hypotenuse intersecting isosceles trapezoid isosceles triangle LAOB lateral area lateral edges line drawn lines be drawn measured by arc middle point number of sides oblique lines opposite parallel parallelogram parallelopiped perimeter perpendicular plane MN polyedron prism Proof proportional Prove pyramid quadrilateral radii radius rectangle regular polygon rhombus right angles right triangle secant segments slant height spherical polygon spherical triangle square straight line surface tangent tetraedron THEOREM trapezoid triedral vertex vertices volume