Elementary geometry |
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Page 4
... placed between two quantities means that the less is to be subtracted from the greater ; thus AB - AC = BC . Lines are expressed arithmetically as multiples of some known length . Thus we speak of 7 yards , 11 miles , a yard and a mile ...
... placed between two quantities means that the less is to be subtracted from the greater ; thus AB - AC = BC . Lines are expressed arithmetically as multiples of some known length . Thus we speak of 7 yards , 11 miles , a yard and a mile ...
Page 5
... placed between letters on each of the arms . any Ax . 4 . An angle may be conceived as transferred to other position , its magnitude being unaltered . Ax . 5. Angles are equal when they could be placed on one another so that their ...
... placed between letters on each of the arms . any Ax . 4 . An angle may be conceived as transferred to other position , its magnitude being unaltered . Ax . 5. Angles are equal when they could be placed on one another so that their ...
Page 6
... placed are said to be adjacent . The difference of two angles is found by placing them on the same side of the common arm , so that the arm which has described the first angle would , if its motion were reversed , immediately proceed to ...
... placed are said to be adjacent . The difference of two angles is found by placing them on the same side of the common arm , so that the arm which has described the first angle would , if its motion were reversed , immediately proceed to ...
Page 17
... placed so as to have one common angular point , and fill up the space round it ? 5. Shew that three regular hexagons can be placed so as to have a common point , and fill up the space round that point . 6. Shew that two regular octagons ...
... placed so as to have one common angular point , and fill up the space round it ? 5. Shew that three regular hexagons can be placed so as to have a common point , and fill up the space round that point . 6. Shew that two regular octagons ...
Page 19
... to the area of the other . Ax . 10 . A triangle may be conceived as taken up and placed in any other position , the magnitude of its parts remaining unaltered . THEOREM 7 . If one side of a triangle is C 2 I. ] 19 TRIANGLES . TRIANGLES.
... to the area of the other . Ax . 10 . A triangle may be conceived as taken up and placed in any other position , the magnitude of its parts remaining unaltered . THEOREM 7 . If one side of a triangle is C 2 I. ] 19 TRIANGLES . TRIANGLES.
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Common terms and phrases
AB² ABCD ALGEBRA altitude angle ABC angle AOB ARITHMETIC bisectors bisects the angle BROOKE FOSS WESTCOTT Cambridge centre chord circumference cloth coincide common measure corresponding angles Crown 8vo decagon describe a circle diagonals diameter divided ELEMENTARY equal angles equiangular equivalent Euclid exterior angles Fcap Find the locus four right angles Geometry given angle given circle given line given point given ratio given straight line greater Hence hypothenuse inscribed intersect isosceles triangle less Let ABC magnitudes Mathematical meet middle points opposite sides parallel parallelogram perpendicular PROBLEM Proof proportional prove quadrilateral radius rectangle contained regular polygon respectively equal rhombus right angles right-angled triangle Schools Second Edition segments shew shewn similar similar triangles square subtend tangent Theorem 15 three sides touch TREATISE triangle ABC unequal vertical angle
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