 | Peter Nicholson - 1856 - 518 pàgines
...or a following paragraph ; as in this instant», и S4, on pagexix. D THEOREM 41. 107. Rectangles, of the same altitude, are to one another as their bases. Let ABCD, AEFD, be two rectangles, which have a common altitude AD ; they are to one another as their bases... | |
 | Euclid - 1859 - 150 pàgines
...rà я-apaXXqXoypa^/ia, rа virо rа aura iiij/oç ôvra, irpàç âXXi/Xa ianv ¿iç ai ßàauç. Triangles and parallelograms of the same altitude are to one another as their bases. Statement. — Let the triangles ABC and ACD, and the parallelograms EC and CF, have the same altitude,... | |
 | Eucleides - 1860 - 396 pàgines
...the solid AB to the solid CD. COBOLIARY. From this it is manifest, that prisms upon triangular bases, of the same altitude, are to one another as their bases. Let the prisms, the bases of which are the triangles AEM, CFG, and NBO, PDQ the triangles opposite to them,... | |
 | War office - 1861 - 714 pàgines
...shall be equal to the angles which are in the alternate segments of the circle. VOLUNTARY PORTION. 1. Triangles and parallelograms of the same altitude are to one another as their bases. (1) 6x + Vx — t 5 7 > 2* c — 4 _ 9 - 2 J 33: 13" 5*+ I (2) f?n 15 « _ 7^ a - 6 5 ^.\ 2 Qi\ 3.... | |
 | Euclides - 1861 - 464 pàgines
...21, 22 ;—Lemma. 23, 24, 25, 26, 27 ;—31, 32, 33 ;— B, C. D ;— E, F, G, H, K, L, M. 1. 252. Triangles and parallelograms of the same altitude are to one another as their bases. COR. 1. Triangles & I 7s with eq. altitudes are one to another as their bases ; & conversely. 2. Any... | |
 | War office - 1861 - 260 pàgines
...angle of any quadrilateral figure inscribed in a circle, are together equal to two right angles. 4. Triangles and parallelograms of the same altitude are to one another as their bases. 5. If two parallel planes be cut by another plane their common sections with it are parallel. 6. Prove... | |
 | Robert Potts - 1865 - 528 pàgines
...Fifth and Sixth Books of the Elements ? Quote instances. 66. If Euclid had proved first that rectangles and parallelograms of the same altitude are to one another as their bases ; and then deduced that triangles of the same altitude are to one another as their bases : — does... | |
 | Euclid, Isaac Todhunter - 1867 - 424 pàgines
...figure is the straight line drawn from its vertex perpendicular to tho base. PROPOSITION 1. THEOREM. 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... | |
 | Euclid, Isaac Todhunter - 1867 - 426 pàgines
...figure is the straight line drawn from its vertex perpendicular to the base. PROPOSITION I. THEOREM. 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... | |
 | Euclid - 1868 - 138 pàgines
...iTapaXXrçXóypa/i/ia, тà IIiTO TÍ> aúr¿ in¡ioç úvra, irpoе âXXi/Xâ iariv ¿>ç ai ßáaiiç. Triangles and parallelograms of the same altitude are to one another as their bases, Statement. — Let the triangles ABC and ACD, and the parallelograms EC and CF, have the same altitude,... | |
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Triangles and parallelograms of the same altitude are to one another as their bases. 
