 | Euclides - 1864 - 448 σελίδες
...divides the parallelogram A CDB into two equal parts. QED PROPOSITION XXXV. THEOREM. Parallelograms upon the same base, and between the same parallels, are equal to one anuther. ( Let the parallelograms AB CD, -E-BCFbeuponthe same base 2? C, . and between the same parallels... | |
 | Robert Potts - 1865 - 528 σελίδες
...parallelogram. EFGH. (ax. 1.) Therefore, parallelograms upon equal, &e. QE u. PROPOSITION XXXVII. THEOREM. Triangles upon the same base and between the same...parallels, are equal to one another. Let the triangles ABC, DBC\lQ upon the same base BC, and between the same parallels AD, BC. Then the triangle ABC shall be... | |
 | Euclides - 1865 - 80 σελίδες
...the same thing are equal to one another; therefore the parallelograms ABCD and EBCF are equal. Cor. Triangles upon the same base and between the same parallels are equal to one another; for the triangle ABC is (40) half the parallelogram ABCD, and the triangle FCB is half the parallelogram... | |
 | J. F. H. de Rheims - 1865 - 336 σελίδες
...upon the same base and between the same parallels are equal to one another. Prop. 37. — Theorem. Triangles upon the same base and between the same parallels are equal to one another. Prop. 47. — Theorem. In any right angled trinngle, the square which is described upon the side subtending... | |
 | William Harris Johnston - 1865 - 478 σελίδες
...respects oblique parallelograms abo. By Euclid, Book I, Prop. 35, it is established that «parallelograms upon the same base and between the same parallels are equal to one another." Now, the perpendicular distance, D С, between the sides, DF and В С, of the oblique parallelogram... | |
 | 1865 - 276 σελίδες
...Given the vertical angle, and a side to construct the triangle. 3. Prop. 35. Theorem. Parallelograms upon the same base and between the same parallels are equal to one another. Shew this is equally true of triangles. 4. Prop. 44. — Problem. To a given straight line to apply... | |
 | Euclides - 1865 - 402 σελίδες
...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 σελίδες
...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 σελίδες
...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... | |
 | William Kennedy Maxwell - 1871 - 148 σελίδες
...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. 
