 | General Medical Council (Great Britain) - 1869 - 402 σελίδες
...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 same base.... | |
 | Thomas Fowler - 1870 - 372 σελίδες
...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 upon... | |
 | Henry William Watson - 1871 - 320 σελίδες
...of the triangle ABC is equal to the area of the triangle DBC (Bk. IV. Prop. i, Cor.). PROPOSITION 7. Triangles upon equal bases and between the same parallels are equal to one another in area. Let ABC and DEF be two triangles upon the equal bases BC and EF, and between the same parallels... | |
 | Euclides - 1871 - 136 σελίδες
...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= A DEF.... | |
 | Edinburgh univ - 1871 - 392 σελίδες
...5, and 2 doors, each 9 feet by four, with paper I £ yards wide, at 5jd. a yard. 4. Parallelograms upon equal bases and between the same parallels are equal to one another. Prove this ; and modify the enunciation, so as to extend it to the case where the parallelograms are... | |
 | Euclides, James Hamblin Smith - 1872 - 376 σελίδες
...straight lines, and the lines AD, BC intersect in E, then the triangles AEC, BED are equal. PROPOSITION XXXVIII. THEOREM. Triangles upon equal bases, and...between the same parallels, are equal to one another. Let AS A BO, DEF be on equal bases, BC, EF and between the same Us BF, AD. Then must &ABC= &DEF. From... | |
 | Popular educator - 1872 - 848 σελίδες
...a to any point in the straight line HE, produced both ways indefinitely. Triangles also which stand upon equal bases and between the same parallels are equal to one another. Thus, the triangles t, H o, M ot, which B _ stand on equal c bases, H o, ro, and H _ L.-'' P "-..MK... | |
 | Henry Major - 1873 - 588 σελίδες
...diameter AB bisects it ; and DEC is the half of DBCF ; therefore ABC is equal to DEC. XXXVIII. — 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, AD. Produce... | |
 | Euclides - 1874 - 342 σελίδες
...5. The triangle ABC is equal to the triangle DBC. Wherefore, triangles, &c. QED PROPOSITION 38. — 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, AD. Then... | |
 | Edward Atkins - 1874 - 428 σελίδες
...the triangle ABC is equal to the triangle DBC. Therefore, triangles, &c. Q. E, D. Proposition 38. — Theorem, Triangles upon equal bases, and between the same parallels, are equal to one another. Let the triangles ABC, DEF, be on equal bases BC, EF, and between the same parallels BF, AD. The triangle... | |
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Triangles upon equal bases, and between the same parallels, are equal to one another. 
