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" Triangles upon equal bases, and between the same parallels, are equal to one another. "
A Treatise on Practical Surveying: Which is Demonstrated from Its First ... - Σελίδα 46
των Robert Gibson - 1818 - 478 σελίδες
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Euclid's plane geometry, books iii.-vi., practically applied; or, Gradations ...

Euclides - 1861 - 464 σελίδες
...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...

Examination papers used at the examinations for direct commissions [&c.].

War office - 1861 - 714 σελίδες
...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...

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

Euclides - 1862 - 140 σελίδες
...parallelogram ABCD is equal to the parallelogram EBCF. PROPOSITION 36.— THEOREM. Parallelograms upon equal bases, and between the same parallels, are equal to one another. (References— Prop. I. 33, 34, 35; ax. 1.) Hypothesis. — Let ABCD, EFGH, be parallelograms on equal...

Papers Read at the Royal Institute of British Architects

1863 - 302 σελίδες
...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 plane geometry, practically applied; book i, with explanatory notes ...

Euclides - 1863 - 74 σελίδες
...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,...

Responsions

University of Oxford - 1863 - 328 σελίδες
...contained by the whole and one of the parts may be equal to the square on the other part. 6. Triangles on equal bases, and between the same parallels, are equal to one another. 7. If a straight line be divided into any two parts, the square on the whole line is equal to the squares...

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

Robert Potts - 1863 - 482 σελίδες
...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...

Calendar

University of Cambridge - 1864 - 694 σελίδες
..." 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...

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

Euclides - 1864 - 448 σελίδες
...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...

Solutions of the Problems and Riders Proposed in the Senate-house ...

William Walton - 1864 - 234 σελίδες
..." sq. on AB," and for the rectangle contained by AB and CD, " 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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