 | Edinburgh Mathematical Society - 1899 - 340 pàgines
...the retention of Propositions 14 and 15, and the definition of reciprocal proportionals. EUCLID, VI. 1. Triangles and parallelograms of the same altitude are to one another as their bases. Let the triangles ABC, ACD and the parallelograms EC, CF have the same altitude, namely, the perpendicular... | |
 | University of Toronto - 1901 - 1190 pàgines
...test to show that lines whose respective lengths are 8, 4, 5 and 6 inches, are not proportionals. 6. Parallelograms of the same altitude are to one another as their bases. (Eue. VI, 1.) 7. Equal parallelograms, which have one angle of the one equal to one angle of the other,... | |
 | Euclid - 1904 - 488 pàgines
...v. Def. 5. that is, the A ABC : the A ACD :: the base BC : the base CD. -QED COROLLARY. The areas of parallelograms of the same altitude are to one another as their bases. B CD Let EC, CF be parm' of the same altitude. Then shall the parm EC : the parm CF :: BC : CD. Join... | |
 | Saskatchewan. Department of Education - 1906 - 188 pàgines
...9. Explain the terms multiple, submultiple, ratio, duplicate ratia as applied to magnitudes. 10. (a) Triangles and parallelograms of the same altitude are to one another as their bases. VI. 1. (i) Triangles and parallelograms that have equal bases are toone another as their altitudes.... | |
 | Edinburgh Mathematical Society - 1900 - 410 pàgines
...the retention of Propositions 14 and 15, and the definition of reciprocal proportionals. EUCLID, VI. 1. Triangles and parallelograms of the same altitude are to one another as their bases. Let the triangles ^ XF ABC, ACD and the parallelograms EC, CF have the same altitude, namely, the perpendicular... | |
 | 1904 - 500 pàgines
...between the same parallels, are equal to one another], and they then get for commensurable bases Euc. VI. 1 [triangles and parallelograms of the same altitude are to one another as their bases]. In like manner Euc. VI. 33 is reached through Enc. III. 26. But this mode of developing the subject... | |
 | Cowley Oxon, dioc. school - 1860 - 318 pàgines
...What inferences are designated by the terms invertendo, dividendo, convertendo, and ex sequali ! 10. Triangles and parallelograms of the same altitude are to one another as their bases. 11. Similar triangles have to one another the duplicate ratio of their homologous sides. 12. Describe... | |
 | Euclid - 1845 - 336 pàgines
...similarly situated to the polygon ABCDE, AB and PQ being corresponding sides. AREAS. • 210. PROP. 9. Triangles and parallelograms of the same altitude are to one another as their bases. H (i) Let ABC, DEF be triangles of the same altitude on the bases BC, EF; to prove that A ABC : A DEF^=... | |
 | University of Cambridge - 1831 - 510 pàgines
...principal planes of the paraboloid. SATURDAY MORNING .... 9 to 11. First, Second, Third and Fourth Classes. 1. TRIANGLES and parallelograms of the same altitude are to one another as their hases. 2. Planes'to which the same straight line is perpendicular are parallel to one another. 3. Express... | |
 | 1896 - 652 pàgines
...outside a circle construct a tangent to a circle. я. Construct an angle double of a given angle. 0. Triangles and parallelograms of the same altitude are to one another as their bases. 7. Show that angles in the same segment of a circle are equal. H. Prove that if a side of any triangle... | |
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Triangles and parallelograms of the same altitude are to one another as their bases. 
