Elements of Geometry, Geometrical Analysis, and Plane Trigonometry: With an Appendix, and Copious Notes and IllustrationsJ. Ballantyne and Company, 1811 - 500 sider |
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Side 22
... Hence only a single perpendicular CD can be let fall from the same point C upon a given straight line AB ; and hence also a pair only of equal straight lines greater than CD can at once be extended from C to AB , making on the same side ...
... Hence only a single perpendicular CD can be let fall from the same point C upon a given straight line AB ; and hence also a pair only of equal straight lines greater than CD can at once be extended from C to AB , making on the same side ...
Side 28
... hence the side EG is equal to FH . G H Again , if the perpendiculars EG and FH be equal , the two triangles EGH and EFH , having the side EG equal to FH , EH common , and the contained angle HEG equal to EHF , are ( I. 3. ) equal , and ...
... hence the side EG is equal to FH . G H Again , if the perpendiculars EG and FH be equal , the two triangles EGH and EFH , having the side EG equal to FH , EH common , and the contained angle HEG equal to EHF , are ( I. 3. ) equal , and ...
Side 29
... Hence the angles of a square or rectangle are all of them right angles ; for the opposite sides being equal , are pa ... Hence the diagonal divides a rhomboid or parallelo- gram into two equal triangles . Hence also an oblong is a ...
... Hence the angles of a square or rectangle are all of them right angles ; for the opposite sides being equal , are pa ... Hence the diagonal divides a rhomboid or parallelo- gram into two equal triangles . Hence also an oblong is a ...
Side 31
With an Appendix, and Copious Notes and Illustrations Sir John Leslie. Cor . Hence the diagonals of a rectangle are equal to each other ; for if the angles at A and B were right angles , the triangles DAB and CBA would be equal ( I. 3 ...
With an Appendix, and Copious Notes and Illustrations Sir John Leslie. Cor . Hence the diagonals of a rectangle are equal to each other ; for if the angles at A and B were right angles , the triangles DAB and CBA would be equal ( I. 3 ...
Side 32
... Hence the two acute angles of a right angled tri- angle are together equal to one right angle ; and hence each angle of an equilateral triangle is two third parts of a right angle . Cor . 2. Hence if a triangle have its exterior angle ...
... Hence the two acute angles of a right angled tri- angle are together equal to one right angle ; and hence each angle of an equilateral triangle is two third parts of a right angle . Cor . 2. Hence if a triangle have its exterior angle ...
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Vanlige uttrykk og setninger
ABCD adjacent angle ANALYSIS angle ABC angle ACB angle BAC base AC bisect centre chord circumference COMPOSITION conse consequently the angle contained angle decagon describe a circle diameter distance diverging lines draw equal to BC evidently exterior angle given circle given in position given point given ratio given space given straight line greater hence hypotenuse inflected inscribed intercepted intersection isosceles triangle join let fall likewise mean proportional Note opposite parallel perpendicular point G polygon porism PROB PROP proposition quently radius rectangle rhomboid right angles Scholium segments semicircle semiperimeter side AC similar sine square of AB square of AC straight line given tangent THEOR triangle ABC twice the square vertex vertical angle whence wherefore