 | Euclides - 1884 - 182 pages
...to the triangle DBC. Wherefore, triangles, &o. QED 86. PROPOSITION XXXVIII. — THEOREM. Triangles upon equal bases and between the same parallels are - equal to one another. Let the triangles ABC, DEF be upon the equal bases BC, HF, and between the same parallels BF, AD. Then... | |
 | Education - 1884 - 708 pages
...angles equal to each other, these two straight lines shall be parallel. Prop. 27, Bk. I. 2. Triangles upon equal bases and between the same parallels, are equal to one another. Prop. 38, Bk. I. 3. The straight line which joins the middle points of two sides of a triangle is equal... | |
 | Woolwich roy. military acad - 1884 - 148 pages
...F: prove that if the angle AFE is equal to the angle AFD the triangle is isosceles. 2. Triangles on equal bases, and between the same parallels, are equal to one another. ACB is a triangle, CD, BE parallel lines meeting AB and AC produced respectively in D and E: prove... | |
 | 1884 - 648 pages
...the equal sides 350 yards ; find the area of the triangle. 5 marks. 7. Prove that parallelograms on equal bases, and between the same parallels, are equal to one another. 5 marks. 8. The diameters of two concentric circles are 55 feet and 45 feet ; find the area of the... | |
 | Euclides - 1884 - 214 pages
...DBC. Axiom 7. Therefore, triangles on the same base &c. QED PROPOSITION XXXVIII. THEOREM. Triangles on equal bases, and between the same parallels, are equal to one another. GIVEN that the triangles ABC and DBF are on equal bases BC, EF, and between the same parallels BF and... | |
 | Education - 1885 - 630 pages
...interior angles upon the same side together equal to two right angles. Euclid, Book I., Prop. 29. 2. Parallelograms upon equal bases and between the same parallels are equal to one another. Euclid, Book I., Prep. 36. 3. Find a square equal to the sum of three given squares, and hence show... | |
 | Oxford univ, local exams - 1885 - 358 pages
...square on the straight line which is made up of the half and the part produced. 7. Parallelograms on equal bases, and between the same parallels, are equal to one another. 8. In obtuse-angled triangles, if a perpendicular be drawn from either of the acute angles to the opposite... | |
 | Thomas Fowler - Logic - 1887 - 612 pages
...equal to one another,' is derived from, or is the total result of, the previous deductions (i) that ' Parallelograms upon equal bases, and between the same parallels, are equal to one another,' (2) that 'Triangles formed by the diagonal of a parallelogram are each of them equal to half the parallelogram... | |
 | Canada. Department of the Interior - 1888 - 756 pages
...sides of the other, each to each, the triangles shall be eqnal in all respects. 2. Parallelograms on equal bases and between the same parallels are equal to one another. 3. If a straight line be divided into two equal, and also into two unequal parts, the squares on the... | |
 | E. J. Brooksmith - Mathematics - 1889 - 356 pages
...straight line can be placed within a parallelogram greater than the greater diameter. 3. Triangles upon equal bases, and between the same parallels, are equal to one another. The line AD is drawn from the vertex of the isosceles triangle ABC perpendicular to the base, and is... | |
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Triangles upon equal bases, and between the same parallels, are equal to one another. 
