 | Euclides - 1864 - 448 pagina’s
...triangle ABC is equal to the triangle DBC. Wherefore, triangles, &c. QED PROPOSITION XXXVIII. THEOREM. Triangles upon equal bases and between the same parallels, are equal to one another, Let the triangles, ABC, DEF be upon equal bases BC, EF, and between the same parallels BF,... | |
 | University of Cambridge - 1864 - 694 pagina’s
...described on AB i» " sq. on AB," and for the rectangle contained by AB and CO, " the rect. AB, CD." 1. TRIANGLES upon equal bases and between the same parallels are equal to one another. If a quadrilateral figure have two sides parallel, and the parallel sides be bisected, the... | |
 | Woolwich roy. military acad - 1864 - 588 pagina’s
...value of 1L due 12 years hence, when money bears 4^ per cent, compound interest. 9. Parallelograms upon equal bases and between the same parallels are equal to one another. other circle be described with centre C, chords of this latter which, produced if necessary,... | |
 | Euclides - 1865 - 80 pagina’s
...also equal to EBCH; therefore the parallelogram ABCD is likewise equal to the parallelogram EFGH. Cor. Triangles upon equal bases and between the same parallels are equal to one another. For the diagonals AC, EG bisect the parallelograms, and therefore (Ax. 7) the triangle ABC... | |
 | Robert Potts - 1865 - 528 pagina’s
...triangle ABC IB equal to the triangle DBC. Wherefore, triangles, &c. QED PROPOSITION XXXVII1. THEOREM. Triangles upon equal bases and between the same parallels, are equal to one another. Let the triangles ABC, DEF be upon equal bases BC, EF, and between the same parallels BF,... | |
 | Euclides - 1865 - 402 pagina’s
...triangle ABC is equal to the triangle BBC. Wherefore, triangles, &c. QED PROP. XXXVIII.— THEOREM. Triangles upon equal bases and between the same parallels are equal to one another. (References — Prop. I. 31, 34, 36 ; ax. 7.) Let the triangles ABC, DEF, be on the equal... | |
 | Robert Potts - 1868 - 434 pagina’s
...parallelogram-KBCR Therefore, parallelograms upon the same, &c. QED PROPOSITION XXXVI. THEOREM. Parallelograms upon equal bases and between the same parallels, are equal to one another. Let ABCD, EFGHbe parallelograms upon equal bases BC, FG, and between the same parallels AH,... | |
 | General Medical Council (Great Britain) - 1869 - 402 pagina’s
...what is the amount of the bill? EUCLID AND ALGEBRA. 1. Bisect a given straight line. 2. Parallelograms upon equal bases and between the same parallels are equal to one another. 3. The angle at the centre of a circle is double of the angle at the circumference upon the... | |
 | Thomas Fowler - 1870 - 372 pagina’s
...which our deductive reasoning proceeds. The proposition proved in Euclid, Book i. Prop. 38, that ' Triangles upon equal bases, and between the same parallels, are equal to one another,' is derived from, or is the total result of, the previous deductions (i) that ' Parallelograms... | |
 | Euclides - 1871 - 136 pagina’s
...parallel straight lines, and the lines AD, BC intersect in E, then the triangles AEC, BED are equal. Triangles upon equal bases, and between the same parallels, are equal to one another. Let AS ABC, DEF be on equal bases, BC, EF and between the same IIs BF, AD. Then must A ABC=... | |
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Triangles upon equal bases, and between the same parallels, are equal to one another. 
