New Plane and Solid Geometry |
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Page 7
... points A and B as centres , and with the same radius , describe arcs intersecting at C and D. Draw straight line CD intersecting AB at E. Then , E is the middle point of AB . The reason for the construction will be found in § 58 . 27 ...
... points A and B as centres , and with the same radius , describe arcs intersecting at C and D. Draw straight line CD intersecting AB at E. Then , E is the middle point of AB . The reason for the construction will be found in § 58 . 27 ...
Page 19
... 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 of the line . א b B D At the middle ...
... 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 of the line . א b B D At the middle ...
Page 20
... middle point of AB , draw DC L AB . From F , any point without CD , draw lines FA and FB . We then have : II . Given line CD L to line AB at its middle point D , F any point without CD , and lines AF and BF . To Prove AF and BF unequal ...
... middle point of AB , draw DC L AB . From F , any point without CD , draw lines FA and FB . We then have : II . Given line CD L to line AB at its middle point D , F any point without CD , and lines AF and BF . To Prove AF and BF unequal ...
Page 21
... middle point , they make equal angles with the perpendicular . 58. We may now see the reasons for the constructions given in §§ 24 , 25 , 26 , and 27 . In § 24 , by construction , points C and F are each equally distant from points D ...
... middle point , they make equal angles with the perpendicular . 58. We may now see the reasons for the constructions given in §§ 24 , 25 , 26 , and 27 . In § 24 , by construction , points C and F are each equally distant from points D ...
Page 22
... point without a straight line , but one perpen- Adicular can be drawn to the line . ( It follows from § 25 that ... middle point D , La = Zb . [ If lines be drawn to the extremities of a str . line from any point in the erected at ...
... point without a straight line , but one perpen- Adicular can be drawn to the line . ( It follows from § 25 that ... middle point D , La = Zb . [ If lines be drawn to the extremities of a str . line from any point in the erected at ...
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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