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

Woolwich roy. military acad - 1864 - 588 σελίδες
...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...

Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson ...

Robert Potts - 1865 - 528 σελίδες
...CF. 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...

Elements of plane geometry, book i, containing nearly the same propositions ...

Euclides - 1865 - 80 σελίδες
...(Ax. 7) the triangle ABC is equal to the triangle FCB. PROPOSITION XLV. THEOR. Parallelograms upon equal bases and between the same parallels are equal to one another. Let ABCD, EFGH be two parallelograms on equal bases BC, FG, and between the same parallels AH, BG,...

The College Euclid: Comprising the First Six and the Parts of the Eleventh ...

Euclides - 1865 - 402 σελίδες
...equal to the triangle BBC. Wherefore, triangles, &c. QED PROP. XXXVIII.— THEOREM. Triangles upon equal bases and between the same parallels are equal to one another. (References — Prop. I. 31, 34, 36 ; ax. 7.) Let the triangles ABC, DEF, be on the equal bases BC,...

The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1867 - 426 σελίδες
...ABC is equal to the triangle DBG. Wherefore, triangles &c. QED PROPOSITION 38. THEOREM. Triangles on 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...

The New York Teacher, and the American Educational Monthly, Τόμος 5

1868 - 516 σελίδες
...this, if it is your case. See if you can make an affidavit, of your own knowledge, that triangles upon equal bases and between the same parallels are equal to one another, and that any two sides of a triangle are together greater than the third side ; and so on with all...

Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1868 - 434 σελίδες
...parallelogram-KBCR 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, EFGHbe parallelograms upon equal bases BC, FG, and between the same parallels AH, BG. ADEH...

Minutes of the General Council of Medical Education & Registration ..., Τόμος 6

General Medical Council (Great Britain) - 1869 - 402 σελίδες
...the amount of the bill? EUCLID AND ALGEBRA. 1. Bisect a given straight line. 2. Parallelograms upon equal bases and between the same parallels are equal to one another. 3. The angle at the centre of a circle is double of the angle at the circumference upon the same base....

Parliamentary Papers, Τόμος 21

Great Britain. Parliament. House of Commons - 1869 - 528 σελίδες
...4 feet 4 inches, and two windows, each 6 feet by 3 feet 2 inches. 3. Prove that parallelograms upon equal bases and between the same parallels are equal to one another. 4. It is required to describe a square equal to a given rectilineal figure. 5. The squares of the diagonals...

The practice of navigation and nautical astronomy. [With] Tables ..., Τόμος 26

Henry Raper - 1870 - 968 σελίδες
...half of AB EF, is equal to half ABCD, or the parallelogram is double of the triangle. COR. Triangles on the same or equal bases, and between the same parallels are equal. For parallelograms under these two conditions are, by No. 133, and Cor., equal, and the triangles being...




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