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" Triangles upon equal bases, and between the same parallels, are equal to one another. "
The school Euclid: comprising the first four books, by A.K. Isbister - Side 43
av Euclides - 1862
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The elements of inductive logic

Thomas Fowler - 1870 - 348 sider
...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...
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The Elements of Plane and Solid Geometry

Henry William Watson - 1871 - 285 sider
...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...
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Elements of geometry, containing the first two (third and fourth ..., Del 1

Euclides - 1871
...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....
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The Edinburgh university calendar

Edinburgh univ - 1871
...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...
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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - 1872 - 349 sider
...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...
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The popular educator, Volum 1;Volum 29

Popular educator - 1872
...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...
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The Acting Teacher's and Student's in Training Guide and Text Book for ...

Henry Major - 1873
...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...
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The Elements of Euclid, containing the first six books, with a selection of ...

Euclides - 1874
...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...
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Pure mathematics, Volum 1

Edward Atkins - 1874
...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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Recent military, naval, and civil service examination papers in mathematics ...

Braithwaite Arnett - 1874
...consecutive angles of a quadrilateral is half the sum of the two remaining angles. 2. Parallelograms -on equal bases, and between the same parallels, are equal to one another. 3. Divide a given straight line into two parts, so that the rectangle contained by the whole and one...
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