 | Scotland free church, gen. assembly - 1847 - 554 Seiten
...point in the given line. GEOMETRY -3D CLASS. Define a parallelogram, and similar figures. Prove that parallelograms on the same base and between the same parallels are equal. The square on one side of a triangle is equal to the squares on the other two sides, what kind of a... | |
 | 1844 - 688 Seiten
.... . II '. . JUNIOR 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.... | |
 | 1844 - 456 Seiten
...its central length is 21 f. 5 i. ; What is the quantity of wood in cubic yards ? 1843. GEOMETRY. 2. Parallelograms on the same base, and between the same parallels are equal. 3. If in a circle two chords eat one another, prove that the rectangle contained by the segments of... | |
 | Euclid - 1845 - 218 Seiten
...&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... | |
 | Euclides - 1845 - 546 Seiten
...(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, James Thomson - 1845 - 382 Seiten
...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... | |
 | Euclides - 1846 - 292 Seiten
...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... | |
 | Great Britain. Admiralty - 1846 - 128 Seiten
...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... | |
 | London univ - 1846 - 326 Seiten
...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... | |
 | Great Britain. Admiralty - 1846 - 128 Seiten
...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... | |
| |
Triangles upon the same base, and between the same parallels, are equal to one another. 
