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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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Examination papers used at the examinations for admission to the Royal ...

Sandhurst roy. military coll - 1859 - 1869 sider
...bisect a given rectilineal angle, that is, to divide it into two equal angles. 2. Parallelograms on equal bases, and between the same parallels, are equal to one another. 3. In obtuse-angled triangles if a perpendicular be drawn from either of the acute angles to the opposite...
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Euclid's Elements of plane geometry [book 1-6] explicitly enunciated, by J ...

Euclides - 1860
...equal (Ax. 7) ; therefore the triangle ABC is equal to the triangle DBC. . - . PROPOSITION XXXVUI. THEOREM. Triangles upon equal bases, and between the same parallels, are equal to one another. Given the triangles ABC and DEF upon equal bases BC and EF, and between the same parallels BF, AD ;...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1860 - 361 sider
...equal to the triangle DBC. Wherefore, triangles, &c. QED PROPOSITION XXXViII. THEOREM. T•iangles 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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The examination papers as set for the preliminary literary examination of ...

Royal college of surgeons of England - 1860
...the three interior angles of every triangle are together equal to two right angles. 5. Parallelograms upon equal bases and between the same parallels are equal to one another. 6. If a straight line be divided into any two parts, the squares on the whole line and one of the parts...
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Euclid's plane geometry, books iii.-vi., practically applied; or, Gradations ...

Euclides - 1861
...be produced in a st. L. 3, I. From the gr. of two st. Ls. to cut off a pt. = the less. DEM. 38, 1. Triangles upon equal bases and between the same parallels are equal to one another. 1, V. Def. 5, V. The 1st of four Ms is said to have the same ratio to the 2nd which the 3rd has to...
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Examination papers used at the examinations for direct commissions [&c.].

War office - 1861 - 12 sider
...why the product is not the square root of the product of 8 and •0002. EUCLID 1. Parallelograms on equal bases and between the same parallels are equal to one another. 2. If the square described on one of the sides of a triangle be equal to the squares described on the...
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Papers Read at the Royal Institute of British Architects

1863
...point in one of the 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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Liber Cantabrigiensis: An Account of the Aids Afforded to Poor ..., Volum 2

Robert Potts - 1863
...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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Responsions

University of Oxford - 1863
...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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Euclid's plane geometry, practically applied; book i, with explanatory notes ...

Euclides - 1863
...consequently, half the product of the base ana altitude gives the area of a triangle. PROP. 38. — THEOR. Triangles upon equal bases and between the same parallels, are equal to cote another. E. 1 C. 3 Cos.— Pst. 2, P. 31, Def. A.— DEM.— P. 36, P. 31, Ax. 7. Hyp. 1. Let...
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