## New Plane and Solid Geometry |

### From inside the book

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**vertices**. We define the angles of the triangle as the angles CAB , ABC , and BCA , between the adjacent sides . B 22. A triangle is called scalene when no two sides are equal ; isosceles when two sides are equal ; equilateral when all ... Page 19

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**vertices**are the points B , G , and H has its sides respectively equal to those of the triangle whose**vertices**are the points E , K , and L. Then , the triangles are equal by § 52 , and the homologous angles B and E are equal . PROP ... Page 36

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**vertices**. K B G 4 b / E F HI Draw lines AB and BC || to lines DH and KF , respectively , intersect- ing at E. We then have : Given DEF ( a ) , with its sides | to and extending in the same direction as those of B , and △ HEK ( b ) ... Page 37

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**vertices**. PROP . XX . THEOREM 83. Two angles whose sides are perpendicular , each to each , are either equal or supplementary . B A L C Draw line FG ; also , line DE meet- ing FG at E. Draw lines AB and BC to lines DE and FG ... Page 46

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... their points of intersection the

**vertices**. The angles of the quadrilateral are the angles formed by the adjacent sides , ABC , BCD , etc. A B · A diagonal is a straight line joining two opposite 46 - PLANE GEOMETRY — BOOK I.### 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