## Elementary Geometry: Congruent Figures |

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according adjacent angle of continuation Axiom axis of symmetry base bisector bisects called centre centre of symmetry CHAPTER chord circle coincide common condition congruent consider consists contains converse convex corresponding points curve Definition denote described determine diagonal diameter distance divides draw drawn elements end points equal equidistant exercise fall figures fixed follows four Geometry given lines given point gives greater Hence hold included intersection join kite length less lies limits locus meaning median meet mid point moving notion obtained opposite sense opposite sides pair parallel pass pencil perpendicular placed plane polygon position possible proof properties proposition prove quadrilateral radius reciprocal regard relating right angles satisfying segment shape solid space spread squares supplementary suppose surface taken tangents Theorem thing third three points triangle turn vertex vertices

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Page 137 - THEOREM. IF two triangles have two sides of the one equal to two sides of the...

Page ii - GEOLOGY. By W. TOPLEY, FGS Assoc. Inst. CE of the Geological Survey of England and Wales.

Page 19 - If we suspend a weight by a string, the string becomes stretched, and we say it is straight, by which we mean to express that it has assumed a peculiar definite shape.

Page 133 - Two triangles are equal if the three sides of the one are equal, respectively, to the three sides of the other. In the triangles ABC and A'B'C', let AB be equal to A'B', AC to A'C', BC to B'C'. To prove that A ABC = A A'B'C'. Proof. Place A A'B'C' in the position AB'C, having its greatest side A'C' in coincidence with its equal AC, and its vertex at B', opposite B; and draw BB'.

Page 116 - The sum of two sides of a triangle is greater than the third side, and their difference is less than the third side.

Page viii - Consequently, although the treatment of each subject will be strictly elementary, the fundamental facts will be stated and discussed with the fulness needed to place their scientific significance in a clear light, and to show the relation in which they stand to the general conclusions of Science. In order to ensure the efficient carrying-out of the general scheme indicated above, the Editors have endeavoured to obtain the co-operation, as Authors of the several treatises, of men who combine special...

Page vii - ... way that it may serve as a basis for more advanced study. In conformity with the special object of the SERIES, the attempt will be made in all cases to bring out the educational value which properly belongs to the study of any branch of Science, by not merely treating of its acquired results, but by explaining as fully as possible the nature of the methods of inquiry and reasoning by which these results have been obtained. Consequently, although the treatment of each subject will...

Page vii - NOTWITHSTANDING the largo number of scientific works which have been published within the last few years, it is very generally acknowledged by those who are practically engaged in Education, whether as Teachers or as Examiners, that there is still a want of Books adapted for school purposes upon several important branches of Science.

Page ii - MD Professor of Zoology, University of Dublin. With 59 Diagrams. ZOOLOGY OF THE VERTEBRATE ANIMALS. By ALEXANDER MACALISTER, MD Professor of Zoology, University of Dublin. With 77 Diagrams.

Page 116 - America, but know that we are alive, that two and two make four, and that the sum of any two sides of a triangle is greater than the third side.