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" Parallelograms upon equal bases, and between the same parallels, are equal to one another. "
The first three books of Euclid's Elements of geometry, with theorems and ... - Página 30
por Euclid, Thomas Tate - 1849 - 108 páginas
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The school Euclid: comprising the first four books, by A.K. Isbister

Euclides - 1862 - 172 páginas
...parallelogram E3CT. Therefore, parallelograms upon the same base, &c. QED PROP. XXXVI.— THEOREM. Parallelograms upon equal bases and between the same parallels are equal to one another. (References — Prop. i. 33, 34, 35; ax. 1.) Let ABCD, EFGH be parallelograms upon equal bases BC,...
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Euclid's Elements of geometry, books i. ii. iii. iv

Euclides - 1862 - 140 páginas
...the triangle DBC. Conclusion. — Therefore, triangles, &c, QED PROPOSITION 38.— THEOREM. Triangles upon equal bases, and between the same parallels, are equal to one another. (References— Prop. I. 31, 34, 36; ax. 7.) Hypothesis. — Let the triangles ABC, DEF, be on equal...
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Responsions

University of Oxford - 1863 - 316 páginas
...given point in a given straight line, make a rectilineal angle equal to a given rectilineal angle. 5. Parallelograms upon equal bases, and between the same parallels, are equal to one another. 6. Describe a parallelogram equal to a given rectilineal figure, and having an angle equal to a given...
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Liber Cantabrigiensis: An Account of the Aids Afforded to Poor ..., Volumen2

Robert Potts - 1863 - 482 páginas
...of an isosceles triangle be produced, the angles upon the other side of the base shall be equal. 9. Parallelograms upon equal bases and between the same parallels are equal to one another. A parallelogram has one side fixed, while the other sides move in such a manner that its area is- always...
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Euclid's plane geometry, practically applied; book i, with explanatory notes ...

Euclides - 1863 - 74 páginas
...units, or uiiits of surface in the parallelogram. PROP. 36.— THEOR.— (A Corollary of the 35th). Parallelograms upon equal bases, and between the same parallels, are equal to one another. , CON.— Pst. 1.— DEM.— P. 34, Ax. 1, P. 33, Def. A, P. 35 Hyp. 1. Let the / — 7s ABCD, EFGH,...
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Papers Read at the Royal Institute of British Architects

1863 - 300 páginas
...sides ; also by a line drawn perpendicular to one of the sides. 8. Proposition 38, Theorem ; Triangles upon equal bases and between the same parallels are equal to one another. 9. Divide an equilateral trianglo into four equal triangles. Book 2. 10. Proposition 7, Theorem ; It...
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Euclid's Elements of geometry, the first four books, by R. Potts. Corrected ...

Euclides - 1864 - 262 páginas
...the parallelogram-E.BCF. 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, EFGIfbe parallelograms upon equal bases BC, FG, and between the same parallels AH, BG. Then the parallelogram...
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The school edition. Euclid's Elements of geometry, the first six books, by R ...

Euclides - 1864 - 448 páginas
...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, AD. Then the...
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Report on the examination for admission to the Royal military academy at ...

Woolwich roy. military acad - 1864 - 588 páginas
...Find the present 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, pa&s through...
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Solutions of the Problems and Riders Proposed in the Senate-house ...

William Walton - 1864 - 234 páginas
...AB is "sq. on AB," and for the rectangle contained by AB and CD, " the rect. AB, CD." l. TKIANGLES 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 line joining...
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