| Great Britain. Admiralty - Geometry - 1846 - 130 pages
...equal^ZT " ABCD, EBCF, Ax. 7. .'. the /\K are equal to one another. Prop3 »PROP. XXXV. THEOR. 36. 1 Eu. **Parallelograms upon equal bases, and between the same...parallels, are equal to one another. Let ABCD, EFGH, be** £ZT" upon = bases BC, FG, and between the same ||s, AH, BG ; then r—r ABCD = Z=7 m EFGH. DE Ax '... | |
| Euclides - 1846 - 292 pages
...triangle ABC is equal to the triangle DBC. Wherefore, Triangles %c. QED PROP. XXXVIII. THEOR. 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 : the triangle... | |
| James Wharton - 1847 - 222 pages
...parallelogram be 9 and 6, the area = 9 . 6 = 54. By Euclid, Book I., Props. 35 and 36., it is seen that **parallelograms upon equal bases and between the same parallels are equal to one another,** which is, that the areas of all parallelograms are equal to that of a rectangular parallelogram with... | |
| Euclides - 1847 - 128 pages
...and .'. i; with BC. (Prop. XXXIV.) Wherefore = D°» &c.— QED PROP. XXXVI. THEOR. GEN. ENUN. — **Parallelograms upon equal bases, and between the same parallels, are equal to one another.** ABCD, EFGH PART. ENUN. — Let upon equal bases BC, FG, and between the same || s AH, BG; then the... | |
| J. Goodall, W. Hammond - 1848 - 388 pages
...and a segment of a circle, a sc alene triangle a rhomboid, and a trapezium. Section 2. 1. Prove that **parallelograms upon equal bases and between the same parallels are equal to one another.** 2. Describe a parallelogram that shall be equal to a given triangle, and have one of its angles equal... | |
| Euclides - 1848 - 52 pages
...same base anti between the same parallels, are equal to one another. PROP. XXXVIII. THEOREM. Triangles **upon equal bases and between the same parallels, are equal to one another.** PROP. XXXIX. THEOREM. Equal triangles upon the same base and upon the same side of it, are between... | |
| Euclid, Thomas Tate - 1849 - 120 pages
...triangle ABC is equal to the triangle DBC. Wherefore triangles, &c. QED PROP. XXXVni. THEOR. 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 : The triangle... | |
| Great Britain. Committee on Education - 1850 - 914 pages
...square, a circle, • multiple, similar rectilineal figures, and duplicate ratio. 2. Prove Euc. I. 36. **Parallelograms upon equal bases, and between the same parallels, are equal to one another.** 3. Solve Euc. II. 11. To divide a given finite straight line into two parts, so that the rectangle... | |
| Harvey Goodwin - Mathematics - 1851 - 196 pages
...HENSLEY, MA, Trinity College. JOHN SYKES, MA, Pembroke College. TUESDAY. Dec. 31. 9. ..12. 1. TRIANGLES **upon equal bases and between the same parallels are equal to one another. Let** ABC, ABD be two equal triangles upon the same base AB and on opposite sides of it ; join CD meeting... | |
| 1867 - 336 pages
...Determine the locus of the vertices of all equal triangles ou the same base and on the same lide of it. 3. **Parallelograms upon equal bases, and between the same parallels, are equal to one another.** Trisect a parallelogram by lines drawn from a givtu point in one of its sides. SECTION IV. 1. Eqnal... | |
| |