New Plane and Solid Geometry |
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Page 11
... Construction . Ext . , Exterior . Rt . , Right . Corresp . , Corresponding . Str . , Straight . Rect . , Rectangle , rec- Adj . , Adjacent . tangular . BOOK I RECTILINEAR FIGURES DEFINITIONS 37. We define an acute INTRODUCTORY 11.
... Construction . Ext . , Exterior . Rt . , Right . Corresp . , Corresponding . Str . , Straight . Rect . , Rectangle , rec- Adj . , Adjacent . tangular . BOOK I RECTILINEAR FIGURES DEFINITIONS 37. We define an acute INTRODUCTORY 11.
Page 47
... Rectangle is a parallelogram whose angles are right angles . A Square is a rectangle whose sides are equal . Rhomboid Rhombus Rectangle . Square Ex . 35. Bisect the exterior angles of a given triangle and join the vertices of the ...
... Rectangle is a parallelogram whose angles are right angles . A Square is a rectangle whose sides are equal . Rhomboid Rhombus Rectangle . Square Ex . 35. Bisect the exterior angles of a given triangle and join the vertices of the ...
Page 52
... rectangles are equal if the base and altitude of one are equal respectively to the base and altitude of the other . PROP . XXXVII . THEOREM 112. The diagonals of a rectangle are equal . Draw rectangle ABCD ; draw lines AC and BD . We ...
... rectangles are equal if the base and altitude of one are equal respectively to the base and altitude of the other . PROP . XXXVII . THEOREM 112. The diagonals of a rectangle are equal . Draw rectangle ABCD ; draw lines AC and BD . We ...
Page 64
... rectangle ( § 112 ) . Two angles are equal : When they are the complements or supplements of equal angles ( § 41 ) . When they are vertical ( § 44 ) . When they are homologous angles of equal triangles ( § 48 ) . When they are opposite ...
... rectangle ( § 112 ) . Two angles are equal : When they are the complements or supplements of equal angles ( § 41 ) . When they are vertical ( § 44 ) . When they are homologous angles of equal triangles ( § 48 ) . When they are opposite ...
Page 77
... rectangle . Can the centre be without the rectangle ? PROP . XVI . THEOREM 174. The tangents to a circle from an outside point are equal . B D Draw with centre at O. Draw radii OB and OC , and tangents 1 OB and OC , respectively ...
... rectangle . Can the centre be without the rectangle ? PROP . XVI . THEOREM 174. The tangents to a circle from an outside point are equal . B D Draw with centre at O. Draw radii OB and OC , and tangents 1 OB and OC , respectively ...
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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