Syllabus of Plane Geometry: (corresponding to Euclid, Books I-VI) ...Macmillan & Company, 1876 - 58 sider |
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... Propositions 38 47 BOOK V. Proportion . Introduction Section 1. Similar Figures Section 2. Areas Section 3. Loci and Problems . • ཉ་ ཉ 50 53 56 58 SYLLABUS OF GEOMETRICAL CONSTRUCTIONS . THE following constructions are to.
... Propositions 38 47 BOOK V. Proportion . Introduction Section 1. Similar Figures Section 2. Areas Section 3. Loci and Problems . • ཉ་ ཉ 50 53 56 58 SYLLABUS OF GEOMETRICAL CONSTRUCTIONS . THE following constructions are to.
Side 54
... similar to the same rectilineal figure are similar to one another . THEOR . 2. If two triangles have their angles respectively equal , they are similar , and those sides which are opposite to the equal angles are homologous . THEOR . 3 ...
... similar to the same rectilineal figure are similar to one another . THEOR . 2. If two triangles have their angles respectively equal , they are similar , and those sides which are opposite to the equal angles are homologous . THEOR . 3 ...
Side 55
... Similar rectilineal figures may be divided into the same number of similar triangles . DEF . 3. The point determined as in Theor . 6 is called a centre of similarity of the two rectilineal figures . THEOR . 7. In a right - angled ...
... Similar rectilineal figures may be divided into the same number of similar triangles . DEF . 3. The point determined as in Theor . 6 is called a centre of similarity of the two rectilineal figures . THEOR . 7. In a right - angled ...
Side 57
... similar rectilineal figures are to one another in the duplicate ratio of their homologous sides . COR . 1. Similar rectilineal figures are to one another as the squares described on their homologous sides . COR . 2. If four straight ...
... similar rectilineal figures are to one another in the duplicate ratio of their homologous sides . COR . 1. Similar rectilineal figures are to one another as the squares described on their homologous sides . COR . 2. If four straight ...
Side 58
... similar and similarly described figures on the sides . SECTION 3 . LOCI AND PROBLEMS . i . The locus of a point ... similar to a given rectilineal figure . PROB . 7. To describe a rectilineal figure equal to one and similar to another ...
... similar and similarly described figures on the sides . SECTION 3 . LOCI AND PROBLEMS . i . The locus of a point ... similar to a given rectilineal figure . PROB . 7. To describe a rectilineal figure equal to one and similar to another ...
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Syllabus of Plane Geometry: (corresponding to Euclid, Books I-VI) ... Association for the improvement of geometrical teaching Uten tilgangsbegrensning - 1876 |
Vanlige uttrykk og setninger
adjacent angles adjoining sides angles are equal angles equal angles opposite antecedent bisects Book called centre chord circle a regular circumference circumscribe conjugate angles consequent construct a triangle contrapositive diagonal distance divided internally equal altitude equal angles equal circles equimultiples exterior angle given angle given point given ratio given rectilineal figure given straight line greater angle hypotenuse identically equal inscribe interior angles intersect less lines are proportional Loci locus middle point minor arcs multiple obtuse angle opposite angles parallel straight lines parallelogram perpendicular PLANE GEOMETRY point of contact point of division polygon PROB quadrilateral radii radius ratio compounded ratios are equal rectangle contained right angles Rule of Conversion Rule of Identity SECTION segments side opposite Similar rectilineal figures square straight angle straight line drawn straight line joining subtended Superposition SYLLABUS OF PLANE THEOR Theorem triangles are identically unequal vertex whence whole numbers