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" Triangles upon equal bases, and between the same parallels, are equal to one another. "
Euclid's Elements: Or, Second Lessons in Geometry,in the Order of Simson's ... - Σελίδα 26
των Dennis M'Curdy - 1846 - 138 σελίδες
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The school Euclid: comprising the first four books, by A.K. Isbister

Euclides - 1862
...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,...

Euclid's Elements of geometry, books i. ii. iii. iv

Euclides - 1862
...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...

Responsions

University of Oxford - 1863
...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...

Euclid's plane geometry, practically applied; book i, with explanatory notes ...

Euclides - 1863
...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,...

Liber Cantabrigiensis: An Account of the Aids Afforded to Poor ..., Τόμος 2

Robert Potts - 1863
...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...

Papers Read at the Royal Institute of British Architects

1863
...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...

Euclid's Elements of geometry, the first four books, by R. Potts. Corrected ...

Euclides - 1864
...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...

The school edition. Euclid's Elements of geometry, the first six books, by R ...

Euclides - 1864
...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...

Report on the examination for admission to the Royal military academy at ...

Woolwich roy. military acad - 1864
...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...

Register

University of Cambridge - 1864
...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 line joining...




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