 | 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... | |
 | 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... | |
 | James Wharton - 1847 - 224 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... | |
 | J. Goodall, W. Hammond - 1848 - 390 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... | |
 | Great Britain. Committee on Education - 1850 - 942 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... | |
 | Francis James Jameson - Mathematics - 1851 - 144 pages
...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... | |
 | Sir Henry Edward Landor Thuillier - Surveying - 1851 - 826 pages
...proved that ABCD being a parallelogram, AB = CD and AD =BC. THEO. XII. All parallelograms on the same or equal bases and between the same parallels are equal to one another, that is if BD — GH, and the lines BH and AF are parallel, then the paralellogram ABD C = BDFE = EFGH.... | |
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Parallelograms upon equal bases, and between the same parallels, are equal to one another. 
