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Page xvii
... opposite angles will be equal to one PAGE another 9 SECTION II . PARALLELS . THEOREM 4. If two lines are ... opposite direction ; supplementary , if one is taken in the same and one in the opposite direction One Corollary . 12 PAGE • 14 ...
... opposite angles will be equal to one PAGE another 9 SECTION II . PARALLELS . THEOREM 4. If two lines are ... opposite direction ; supplementary , if one is taken in the same and one in the opposite direction One Corollary . 12 PAGE • 14 ...
Page xviii
... opposite to the greater side THEOREM 10. Conversely . A triangle which has the angles at its base equal will be isosceles One Corollary . THEOREM 11 . 20 · 21 21 22 · Conversely to the opposite . A triangle which has two of its angles ...
... opposite to the greater side THEOREM 10. Conversely . A triangle which has the angles at its base equal will be isosceles One Corollary . THEOREM 11 . 20 · 21 21 22 · Conversely to the opposite . A triangle which has two of its angles ...
Page xix
... opposite the greater angle THEOREM 18. Conversely . If the three sides of one triangle are respectively equal to the three sides of another , these triangles will be equal in all respects THEOREM 19. Converse of the Opposite . If two ...
... opposite the greater angle THEOREM 18. Conversely . If the three sides of one triangle are respectively equal to the three sides of another , these triangles will be equal in all respects THEOREM 19. Converse of the Opposite . If two ...
Page xx
... opposite to it THEOREM 20. If two triangles have two sides of the one equal to two sides of the other , and the angle opposite that which is not the less of the two sides of the one equal to the correspond- ing angle of the other , the ...
... opposite to it THEOREM 20. If two triangles have two sides of the one equal to two sides of the other , and the angle opposite that which is not the less of the two sides of the one equal to the correspond- ing angle of the other , the ...
Page xxi
... opposite to one of them , to construct the triangle PROBLEM 8. To construct a triangle , having given two sides and the angle between them · PROBLEM 9. To construct a triangle having given two sides and an angle opposite to one of them ...
... opposite to one of them , to construct the triangle PROBLEM 8. To construct a triangle , having given two sides and the angle between them · PROBLEM 9. To construct a triangle having given two sides and an angle opposite to one of them ...
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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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