A graduated course of problems in practical plane and solid geometry |
Inni boken
Resultat 6-10 av 17
Side 139
... parallelogram and a triangle be upon the same base and between the same parallels , the parallelogram shall be double of the triangle " ( in area ) .— Euc . I. , 41. Ex . ABCD and EBC— B ( F. ) “ Triangles of the same altitude are one ...
... parallelogram and a triangle be upon the same base and between the same parallels , the parallelogram shall be double of the triangle " ( in area ) .— Euc . I. , 41. Ex . ABCD and EBC— B ( F. ) “ Triangles of the same altitude are one ...
Side 140
... parallelogram on a given base AB equal in area to a given parallelogram CDEF . 1. Find AG the fourth proportional less to AB , CD , CF ( Pr . 141 ) . E K 2. At A , raise the perpendicular AH equal to AG , and complete the parallelogram ...
... parallelogram on a given base AB equal in area to a given parallelogram CDEF . 1. Find AG the fourth proportional less to AB , CD , CF ( Pr . 141 ) . E K 2. At A , raise the perpendicular AH equal to AG , and complete the parallelogram ...
Side 144
... parallelogram equal to any given triangle ABC both in area and perimeter . 1. Biscc : BC in D ( Pr . 1 ) . 2. Produce BA beyond A , and make AE equal to AC , and bisect BE in F. 3. Find the altitude AG of the given triangle ( Pr . 21 ) ...
... parallelogram equal to any given triangle ABC both in area and perimeter . 1. Biscc : BC in D ( Pr . 1 ) . 2. Produce BA beyond A , and make AE equal to AC , and bisect BE in F. 3. Find the altitude AG of the given triangle ( Pr . 21 ) ...
Side 145
... parallelogram BDLK is equal both in area and perimeter to the given triangle ABC . Problem 165 . To divide any parallelogram ABCD into two parts , proportionate in area to a given divided line EF , from a point 0 in one side ...
... parallelogram BDLK is equal both in area and perimeter to the given triangle ABC . Problem 165 . To divide any parallelogram ABCD into two parts , proportionate in area to a given divided line EF , from a point 0 in one side ...
Side 165
... parallelogram one - third of a given parallel- ogram ABCD . 1. As in case A , find EG the mean proportional ( Pr . 140 ) . 2. On AB , mark off AF equal to EG , and join AC . 3. Draw FH , HK , parallel to BC , PRACTICAL GEOMETRY . 165.
... parallelogram one - third of a given parallel- ogram ABCD . 1. As in case A , find EG the mean proportional ( Pr . 140 ) . 2. On AB , mark off AF equal to EG , and join AC . 3. Draw FH , HK , parallel to BC , PRACTICAL GEOMETRY . 165.
Vanlige uttrykk og setninger
altitude angles to xy Atlas axis base BC Pr Bisect the angle bound in cloth circumference cone construct a triangle cube curve cylinder decagon describe a circle describe an arc describe the arc diameter BC distance divide draw a line draw a tangent draw lines edge ellipse equal circles equal in area equilateral triangle given circle given line given point given square ABCD given straight line given triangle ABC heptagon horizontal plane hyperbola inclined inscribe intersection isosceles triangle Join line BC line CD line of bisection lines parallel Maps mean proportional meeting number of equal octahedron parallel to xy parallelogram pentagon perpendicular to xy Philips plan and elevation PLANE GEOMETRY plane of projection point F points of division prism Problem projectors pyramid radii radius rectangle rectilineal figure regular polygon represent required circle rhombus right angles semicircle SOLID GEOMETRY square pyramid trapezium vertical plane
Populære avsnitt
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Side 294 - Young Student's Atlas, Comprising Thirty-six Maps of the Principal Countries of the World, printed in colors. Edited by W. Hughes, FRGS Imperial 41.0., bound in cloth, 33. 6d. Philips Atlas for Beginners, Comprising Thirty-two Maps of the Principal Countries of the World, constructed from the best authorities, and engraved in the best style. New and enlarged edition, with a valuable Consulting Index, on a new plan.
Side 193 - A cone is a solid figure described by the revolution of a right-angled triangle about one of the sides containing the right angle, which side remains fixed. If the fixed side be equal to the other side containing the right angle, the cone is called a right-angled cone ; if it be less than the other side, an obtuse-angled ; and if greater, an acute-angled cone. XIX. The axis of a cone is the fixed straight line about which the triangle revolves.
Side 123 - A straight line is said to be cut in extreme and mean ratio, when the whole is to the greater segment as the greater segment is to the less.