 | 1844 - 688 σελίδες
...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.... | |
 | Euclides - 1845 - 546 σελίδες
...EFGH. (ax. 1.) Therefore parallelograms upon equal, &c. QED PROPOSITION XXXVII. THEOREM. Triangles upon the same base, and between the same parallels, are equal to one another. Let the triangles ABC, DBC be upon the same base BC, and between the same parallels AD, BC. Then the triangle... | |
 | Euclid - 1845 - 218 σελίδες
...parallelograms, &c. QED 31. 1. 4 Def. 34. ] t 35. 1. 34. 1. TAx: PROPOSITION XXXVII. THEOR. — Triangles upon the same base, and between the same parallels, are equal to one another. Let the triangles ABC, DBC be upon the same base BC, and between the same parallels AD, BC : the triangle ABC... | |
 | Euclid, James Thomson - 1845 - 382 σελίδες
...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... | |
 | Great Britain. Council on Education - 1845 - 696 σελίδες
...periods and under what circumstances the same eclipses return. Wednesday, 13th Nov. 1844. 1. Show that parallelograms upon the same base and between the same parallels are equal. 2. Explain the construction of the hydraulic ram. 3. In what time would an engine, working at 100 II... | |
 | Euclides - 1846 - 292 σελίδες
...parallelogram ABCD is equal to EFGH. 'Wherefore, Parallelograms %c. QED PROP. XXXVII. THEOR. Triangles upon the same base, and between the same parallels, are equal to one another. Let the triangles ABC, DBC be upon the same base BC, and between the same parallels AD, BC : the triangle ABC... | |
 | Euclid, John Playfair - 1846 - 334 σελίδες
...sum of any two 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.) 34 If the sides AD, DF of the parallelograms ABCD, DBCF opposite to... | |
 | Great Britain. Admiralty - 1846 - 128 σελίδες
...ACDB into two •=• parts. Wherefore the opposite sides and angles, &c. PROP. XXXIV. THEOR. 3s. lEu. Parallelograms upon the same base, and between the same parallels, are equal to one another. PROP. XXXIV. FADE F \ . If the sides AD, DF, of the 1=1™ ABCD, DBCF, opp. to BC the base, be terminated... | |
 | Great Britain. Admiralty - 1846 - 128 σελίδες
...m ACDB into two = parts. Wherefore the opposite sides and angles, &c. PROP. XXXIV. THEOR. 35. lEu. Parallelograms upon the same base, and be-tween the same parallels, are equal to one another. FA DEFAEDF \ . If the sides AD, DF, of the / — 7"" ABCD, DBCF, opp. to RC the base, be terminated... | |
 | London univ - 1846 - 326 σελίδες
...that all the exterior angles of any rectilineal figure are together equal to four right angles. 6. Parallelograms upon the same base and between the same parallels are equal to one another. 7. Show that the complements of the parallelograms which are about the diameter of any .parallelogram... | |
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PARALLELOGRAMS upon the same base, and between the same parallels, are equal to one another... 
