| 1862
...are. You learn those ways at school, and nothing else. Master Bob. Don't I, Miss. Hee ! Parallelograms **upon the same base and between the same parallels are equal to** 9ne another, and equal triangles upon equal bases in the same straight lines, and towards the same... | |
| Euclides - 1842
...therefore, also, the parallelogram ABCD is equal or equivalent to EFG н. Wherefore parallelograms, &c. QED **PROP. XXXVII. THEOR. TRIANGLES upon the same base, and between the same parallels, are** equivalent to one another. Let the triangles ABC, DBC be upon the same base BC* and between the same... | |
| John Playfair - 1842 - 317 Seiten
...adjacent angles of a parallelogram is equal to two right angles. PROP. XXXV. THEOR. Parallelograms **upon the same base and between the same parallels, are equal to one another.** (SEE THE 2d AND 3d FIGUREs.) Let the parallelograms ABCD, EBCF be upon the same base BC, and between... | |
| William Chambers, Robert Chambers - 1842
...to each other ; in proposition 37, the same fact is affirmed with respect to triangles, namely, that **triangles upon the same base and between the same parallels, are equal.** Propositions 36 and 38 are the converse of the preceding. The most celebrated, however, of the succeeding... | |
| 1843
...angles, or are together equal to two right angles. 2. Define a parallelogram. Parallelograms on the **same base and between the same parallels are equal to one another.** Shew that if any quadrilateral figure be bisected by both its diagonals it is a parallelogram. 3. To... | |
| John Playfair - 1844 - 317 Seiten
...to one another. triangle ABC is equal to the trian- E _ A ~D _ F gle DEC. Let the triangles ABC, DEC **be upon the same base BC, and between the same parallels, AD, BC : The** Produce AD both ways to the points E, F, and through B draw (31. 1.) BE parallel to CA ; and through... | |
| 1844
...MODERATOR AND SENIOR EXAMINER. [The Differential Calculut it not to be wed.] 1 . Parallelograms on the **same base and between the same parallels are equal to one another.** 2. From a given circle to cut off a segment containing an angle equal to a given rectilineal angle.... | |
| Euclid - 1845 - 199 Seiten
...ACDB into two equal parts. QED BOOK I. PROP. XXXV. XXXVI. PROPOSITION XXXV. THEOR. — Parallelograms **upon the same base, and between the same parallels, are equal to one another. Let the** parallelograms ABCD, EBCF be upon the same See the 2nd base BC, and between the same parallels AF,... | |
| Euclides - 1845
...divides the parallelogram ACDB into two equal parts. QED PROPOSITION XXXV. THEOREM. Parallelograms **upon the same base, and between the same parallels, are equal to one another. Let the** parallelograms ABCD, EBCF be upon the same base BC, and between the same parallels AF, BC. Then the... | |
| Euclid, James Thomson - 1845 - 352 Seiten
...parallelogram AC is equal (I. ax. 1) to EG. Wherefore parallelograms, &c. PROP. XXXVII. TnEOR.t — **Triangles upon the same base, and between the same parallels, are equal to one another.** * lt will appear, from this proposition, that the perimeters of two equal parallelograms on the same... | |
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