 | Dennis M'Curdy - 1846 - 166 páginas
...Recite (a), def. 34 ; (4), p. 34; (c), ax. 6; (d),ax.2,3; (e), p. 32 ; ( f),p. 4. 36 Th. Parallelograms upon equal bases, and between the same parallels, are equal to one another. Let ABCD, EFGH be two parallelograms upon equal bases BC, FG, and between the A name parallels AH, BG ;... | |
 | Great Britain. Admiralty - 1846 - 128 páginas
...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... | |
 | Euclides - 1847 - 128 páginas
...and of the same altitude, viz. the j- from A upon CD. — QEF PROP. XXXVIII. THEOR. GEN. ENUN. — Triangles upon equal bases, and between the same parallels, are equal to one another. PART. ENUN. — Let the AS ABC, DEFbeupon = bases BC, EF, and be. c AD .H tween the same || s BF, AD;... | |
 | James Wharton - 1847 - 224 páginas
...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 - 1848 - 52 páginas
...upon the 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... | |
 | J. Goodall, W. Hammond - 1848 - 390 páginas
...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... | |
 | Euclid, Thomas Tate - 1849 - 120 páginas
...therefore the 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 - 942 páginas
...• 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... | |
 | Francis James Jameson - 1851 - 144 páginas
...between the same parallels,* are equal to one another. Hence AECD - ABCE - ABEA = AAED. 1851. (A]. Triangles upon equal bases and between the same parallels are equal to one another, (i. 38.) (E). Let ABC, ABD be two equal triangles upon the same base AB, and on opposite sides of it... | |
 | 1867 - 336 páginas
...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... | |
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Triangles upon equal bases, and between the same parallels, are equal to one another. 
