 | Euclides - 1865 - 402 páginas
...BC divides the parallelogram ACI>B into two equal parts. QED PROP. XXXV.— THEOREM. Parallelograms upon the same base, and between the same parallels, are equal to each other. (References— Prop. I 4, 29, 34 ; ax. 1, 3, 6.) Let the parallelograms ABCD, EBCF, be... | |
 | Euclid, Isaac Todhunter - 1867 - 426 páginas
...two equal parts. Wherefore, the opposite aides &c. QED PROPOSITION 35. THEOREM. Parallelograms on the same base, and between the same parallels, are equal to one another. Let the parallelograms A BCD, EBCF be on the same base BC, and between the sameparallels AF,BC: the parallelogram... | |
 | Euclid, Isaac Todhunter - 1867 - 424 páginas
...two equal parts. Wherefore, the opposite sides &c. QED PROPOSITION 35. THEOREM. Parallelograms on the same base, and between the same parallels, are equal to one another. Let the parallelograms ABCD, EBCF be on the same base BC, and between the sameparallels AF, BC : the parallelogram... | |
 | Robert Potts - 1868 - 434 páginas
...Therefore, parallelograms upon equal, &c. QEJO. PROPOSITION XXXVII. THEOREM. Triangles upon the tame base and between the same parallels, are equal to one another. Let the triangles ABC, DBCbe upon the same base BC, and between the same parallels AD, BC. Then the triangle ABC shall be... | |
 | 1868 - 876 páginas
...produced, the exterior angle is greater than either of the interior opposite angles 15 2. Triangles upon the same base, and between the same parallels, are equal to one another 15 3. In any right-angled triangle, the square winch is described upon the side subtending the right... | |
 | Great Britain. Education Department. Department of Science and Art - 1869 - 98 páginas
...square root of 141 • 7 to two places of decimals. (10.) *3. Show that parallelograms and triangles upon the same base and between the same parallels are equal to one another. (10.) 23 5. Angles in the same segment of a circle are equal to one another. *6. Divide a" — SaV... | |
 | Anthony Nesbit - 1870 - 578 páginas
...parallelogram DBCE (Euc. i. 35 ; Simp. ii. 2 ; Em. iii. 6). THEOREM VI. Let the triangles ABC and DEC be upon the same base BC, and between the same parallels AD and BC ; the triangle ABC is equal to the triangle DEC (Euc. i. 37 ; Simp. ii. 2 ; Em. ii. 10). THEOREM... | |
 | Euclides - 1871 - 136 páginas
...EJEFGH, i. 35. V they are on the same base EH and between the same IIs ; .-. O ABCD =o EFGH. Triangles upon the same base, and between the same parallels, are equal to one another. Let A s ABC, DBC be on same base BC and between same lis AD. BC. Then must &ABC= &DBC. From B draw BE \\... | |
 | Henry William Watson - 1871 - 320 páginas
...angles then the areas of the sectors BAC and EDF will be also equal. PROPOSITION 4. Parallelograms upon the same base and between the same parallels are equal to one another in area. Fig, n. Fig. 12. C ED.FCDEP Let the two parallelograms CABD and EABF be upon the same base... | |
 | William Kennedy Maxwell - 1871 - 148 páginas
...ft. 13. Here, as 4-1 : 65 : : 5 : 79-26, the height of the pole. Ans. 14. Now, triangles that stand upon the same base, and between the same parallels are equal to each other ; therefore, this question will, as shown in the figure, admit of two answers. Here, the... | |
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Parallelograms upon the same base and between the same parallels, are equal to one another. 
