Elementary Geometry, Τόμος 2 |
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Σελίδα x
... similar THEOREM 8. If the sides about each of the angles of two triangles are proportionals , the triangles will be similar · THEOREM 9. If two triangles have the sides about an angle of the one triangle proportional to the sides about ...
... similar THEOREM 8. If the sides about each of the angles of two triangles are proportionals , the triangles will be similar · THEOREM 9. If two triangles have the sides about an angle of the one triangle proportional to the sides about ...
Σελίδα xi
... Similar polygons are to one another in the ratio of the squares of their homologous sides . THREE COROLLARIES · 76 76 77 · 78 79 RELATION OF ALGEBRA TO GEOMETRY . Section Examples on the 80 THEOREM 15. Circumferences of circles have to ...
... Similar polygons are to one another in the ratio of the squares of their homologous sides . THREE COROLLARIES · 76 76 77 · 78 79 RELATION OF ALGEBRA TO GEOMETRY . Section Examples on the 80 THEOREM 15. Circumferences of circles have to ...
Σελίδα xii
... similar to a given triangle , on a straight line which is to be homologous to a given side of the triangle 93 94 ONE COROLLARY PROBLEM 6. To make a square which shall be to a given square in a given ratio . ONE COROLLARY PROBLEM 7. To ...
... similar to a given triangle , on a straight line which is to be homologous to a given side of the triangle 93 94 ONE COROLLARY PROBLEM 6. To make a square which shall be to a given square in a given ratio . ONE COROLLARY PROBLEM 7. To ...
Σελίδα 62
... Similar figures are such that the angles of the one are respectively equal to the angles of the other , and have the sides about the equal angles proportionals . THEOREM 6 . If two triangles have two angles of the one equal respectively ...
... Similar figures are such that the angles of the one are respectively equal to the angles of the other , and have the sides about the equal angles proportionals . THEOREM 6 . If two triangles have two angles of the one equal respectively ...
Σελίδα 63
... similar , that is and and AB : BC :: DE : EF , BC : CA :: EF : FD , CA : AB :: FD : DE . Conceive the angle E placed on the angle B ; then F and D would fall as F ' and D ' on BC and BA , or on those lines produced : and because the F ...
... similar , that is and and AB : BC :: DE : EF , BC : CA :: EF : FD , CA : AB :: FD : DE . Conceive the angle E placed on the angle B ; then F and D would fall as F ' and D ' on BC and BA , or on those lines produced : and because the F ...
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ABCD Algebra angle AOB angular points ARITHMETIC base bisectors bisects the angle BROOKE FOSS WESTCOTT Cambridge centre circles touch circumference circumscribed cloth common measure common tangents Construction Crown 8vo decagon Describe a circle diameter divided drawn EDUCATIONAL BOOKS ELEMENTARY TREATISE equal arcs equal chords equiangular equilateral triangle Examples Fcap find the locus follows GEOMETRY given circle given line given point given ratio given straight line Hence homologous hypothenuse incommensurable inscribed intersect John's College Join Let ABC LIST OF EDUCATIONAL magnitudes Mathematical mean proportional middle points numerical values parallel parallelograms pass perimeter perpendicular point of contact PROBLEM prove Ptolemy's Theorem quadrilateral figure radii radius rectangle contained regular polygon right angles Schools secant Second Edition segments shew shewn similar triangles SPQR student subtend equal angles tangent THEOREM triangle ABC vertical angle
Δημοφιλή αποσπάσματα
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Σελίδα 15 - WILSON — THE BIBLE STUDENT'S GUIDE to the more Correct Understanding of the English Translation of the Old Testament, by reference to the original Hebrew. By WILLIAM WILSON, DD, Canon of Winchester, late Fellow of Queen's College, Oxford. Second Edition, carefully revised. 410. cloth. 25*. YONGE (CHARLOTTE M.)— SCRIPTURE READINGS FOR SCHOOLS AND FAMILIES. By CHARLOTTE M. YONGE, Author of "The Heir of Redclyffe.
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Σελίδα 2 - Thucydides. — THE SICILIAN EXPEDITION. Being Books VI. and VII. of Thucydides, with Notes. A New Edition, revised and enlarged, with a Map. By the Rev. PERCIVAL FROST, MA. late Fellow of St. John's College, Cambridge. Fcap. 8vo.
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