New Plane and Solid Geometry |
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Page 4
... perpendicular to each other . Thus , if from point A in line CD line AB be drawn in such a way as to make angles B - BAC and BAD equal , each of these angles is a right angle , and AB and CD are perpen- c dicular to each other . D A ot ...
... perpendicular to each other . Thus , if from point A in line CD line AB be drawn in such a way as to make angles B - BAC and BAD equal , each of these angles is a right angle , and AB and CD are perpen- c dicular to each other . D A ot ...
Page 6
... perpendicular to the straight line AB , at the point C. With C as centre , and any straight line less than AC as radius , describe arcs intersecting AC at D , and BC at E. With points D and E as centres , and any radius , describe arcs ...
... perpendicular to the straight line AB , at the point C. With C as centre , and any straight line less than AC as radius , describe arcs intersecting AC at D , and BC at E. With points D and E as centres , and any radius , describe arcs ...
Page 7
... perpendicular to AB . With Cas a centre , and any radius , describe an arc cutting AB at points D and E. With points D and E as centres , and another radius , describe arcs intersecting at F. Then , the straight line CG drawn from C ...
... perpendicular to AB . With Cas a centre , and any radius , describe an arc cutting AB at points D and E. With points D and E as centres , and another radius , describe arcs intersecting at F. Then , the straight line CG drawn from C ...
Page 11
... perpendicular , is perpen- dicular to . ≈ , equivalent , is equivalent Is , perpendiculars . > , to . is greater than . < , is less than . .. , therefore . Z , angle . s , angles . , parallel , is parallel to . lls , parallels . O ...
... perpendicular , is perpen- dicular to . ≈ , equivalent , is equivalent Is , perpendiculars . > , to . is greater than . < , is less than . .. , therefore . Z , angle . s , angles . , parallel , is parallel to . lls , parallels . O ...
Page 19
... perpendicular be erected at the middle point of a straight line , I. Any point in the perpendicular is equally distant from the extremities of the line . II . Any point without the perpendicular is unequally distant from the extremities ...
... perpendicular be erected at the middle point of a straight line , I. Any point in the perpendicular is equally distant from the extremities of the line . II . Any point without the perpendicular is unequally distant from the extremities ...
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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