 | Thomas Lund - 1854 - Liczba stron: 520
...ratio (170), and join DH. Then DHG is the triangle required. For BDC, BDF, being triangles upon the same base and between the same parallels, are equal to one another (41). Also A.ADE — &ADG; .'.adding to these equals the AABD, it is evident that ADGF = the polygon... | |
 | Euclides - 1855 - Liczba stron: 270
...are at the vertices of any two of its opposite angles. PROP. XXXV. THEOREM. Parallelograms upon the same base, and between the same parallels, are equal to one another. Let the parallelograms AС, B Г be upon the same base B С, and and between the same parallels AF, BС. The... | |
 | Robert Potts - 1855 - Liczba stron: 1050
...line joining the bisections of two sides of a triangle is parallel to the base. 3. Triangles upon the same base, and between the same parallels are equal to one another. The lines joining the bisections of the sides of any quadrilateral figure, together constitute a parallelogram.... | |
 | Great Britain. Committee on Education - 1855 - Liczba stron: 976
...equal, each to each, namely, those to which the equal sides are opposite, 2. Parallelograms on the same base and between the same parallels are equal to one another. 3. In any triangle, if the square of one of the sides is equal to the squares of the two other sides,... | |
 | Euclides - 1856 - Liczba stron: 168
...therefore, the diameter BC divides the parallelogram into two equal parts. XXXVII. Parallelograms upon the same base and between the same parallels are equal to one another. Let the parallelograms ABCD, EBCF (Fig. 29) be upon the same base BC, and between the same parallels AF, BC... | |
 | Cambridge univ, exam. papers - 1856 - Liczba stron: 200
...two interior angles upon the same side together equal to two right angles. 6. Parallelograms upon the same base, and between the same parallels, are equal to one another. 7. Describe a parallelogram that shall be equal to a given triangle, and have one of its angles equal... | |
 | War office - 1858 - Liczba stron: 578
...the exterior angle is greater than either of the interior opposite angles. 2. Parallelograms upon the same base and between the same parallels are equal to one another. VOLUNTARY PORTION. 1. The opposite angles of a quadrilateral figure, inscribed in a circle, are together... | |
 | Euclides - 1858 - Liczba stron: 248
...construction and measurement of Geometrical Figures. \ TO \ i / PROP. 37. — THEOR. Triangles upon the same base and between the same parallels are equal to one another. CONSTRUCTION. — Pst. 2. A st. line may be produced in a st. line. P. 31. Through a given point to... | |
 | Anthony Nesbit - 1859 - Liczba stron: 494
...on the same base, and between the same parallels are equal to each other. Let the triangles ABC, DEC be upon the same base BC, and between /' \/ the same...BC; the triangle ABC is equal to the triangle DBC. (Euc. I. 37. Simp. H. 2. Em. II. 10.) THEOREM VII. In any right-angled triangle, the square of the... | |
 | Sandhurst roy. military coll - 1859 - Liczba stron: 672
...to one another. State and explain Euclid's Corollary to this proposition. 2. Parallelograms upon the same base and between the same parallels are equal to one another. VOLUNTARY PORTION. 1. About a given circle describe a triangle, equiangular to a given triangle. Given... | |
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Parallelograms upon the same base and between the same parallels, are equal to one another. 
