Plane GeometryGinn, 1899 - 256 sider |
Inni boken
Resultat 1-5 av 54
Side 8
... segment of the line . 53. For brevity , we say " the line AB , " to designate a seg- ment of a line limited by the points A and B. 54. If a line is considered as extending from a fixed point , this point is called the origin of the line ...
... segment of the line . 53. For brevity , we say " the line AB , " to designate a seg- ment of a line limited by the points A and B. 54. If a line is considered as extending from a fixed point , this point is called the origin of the line ...
Side 9
... segment AB ; and from B towards A , which is expressed by BA , and read seg- ment BA . 56. If the magnitude of a given line is changed , it becomes longer or shorter . == Thus ( Fig . 5 ) , by prolonging AC to B we add CB to AC , and AB ...
... segment AB ; and from B towards A , which is expressed by BA , and read seg- ment BA . 56. If the magnitude of a given line is changed , it becomes longer or shorter . == Thus ( Fig . 5 ) , by prolonging AC to B we add CB to AC , and AB ...
Side 19
... segments from the foot of the perpendicular , are equal and make equal angles with the perpendicular . A- -B E F K Let CF be a perpendicular to the line AB , and CE and CK two straight lines cutting off on AB equal segments FE and FK ...
... segments from the foot of the perpendicular , are equal and make equal angles with the perpendicular . A- -B E F K Let CF be a perpendicular to the line AB , and CE and CK two straight lines cutting off on AB equal segments FE and FK ...
Side 20
... segments from the foot of the 1 , make equal with the 1 ) . Since PDP ' is not a straight angle , PDC , the half of PDP ' , is not a right angle . .. PD is not to AB . Q. E. D. PROPOSITION VII . THEOREM . 97. The perpendicular is the 20 ...
... segments from the foot of the 1 , make equal with the 1 ) . Since PDP ' is not a straight angle , PDC , the half of PDP ' , is not a right angle . .. PD is not to AB . Q. E. D. PROPOSITION VII . THEOREM . 97. The perpendicular is the 20 ...
Side 21
... segments from the foot of the 1 , are equal ) . and But .. PD + DP ' : = 2 PD , PC + CP ' 2 PC . = PC + CP < PD + DP ' . .. 2 PC < 2 PD . .. PC < PD . Const . § 49 Ax . 7 Q.E.D. 98. COR . The shortest line that can be drawn from a point ...
... segments from the foot of the 1 , are equal ) . and But .. PD + DP ' : = 2 PD , PC + CP ' 2 PC . = PC + CP < PD + DP ' . .. 2 PC < 2 PD . .. PC < PD . Const . § 49 Ax . 7 Q.E.D. 98. COR . The shortest line that can be drawn from a point ...
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Vanlige uttrykk og setninger
AB² ABCD AC² acute angle adjacent angles altitude angles are equal apothem arc A'B base bisector bisects called centre chord circumference circumscribed circle coincide decagon diagonals diameter divide Draw equal circles equiangular equiangular polygon equidistant equilateral triangle exterior angle feet Find the area Find the locus given angle given circle given line given point given straight line given triangle greater Hence homologous sides hypotenuse inches inscribed regular intercepted intersecting isosceles trapezoid isosceles triangle legs limit line drawn median middle point number of sides parallelogram perimeter perpendicular plane PROBLEM Proof prove Q. E. D. PROPOSITION quadrilateral radii radius ratio rectangle regular hexagon regular inscribed regular polygon rhombus right angle right triangle secant segments straight angle supplementary tangent THEOREM third side trapezoid triangle ABC triangle is equal variable vertex
Populære avsnitt
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Side 162 - The sum of the squares of the two legs of a right triangle is equal to the square of the hypotenuse.