 | Euclides - 1856 - 168 σελίδες
...the parallelogram ABCD is equal to the parallelogram EBC F. XXXVIII.— ECJCLID I. 36. Parallelograms upon equal bases and between the same parallels are equal to one another. Let ABCD, EFGH (Fig. 30) be parallelograms upon equal bases, BC, FG, and between the same parallels, AH,... | |
 | Cambridge univ, exam. papers - 1856 - 200 σελίδες
...alternate angles equal to each other, these two straight lines shall be parallel. 4. Parallelograms upon equal bases, and between the same parallels, are equal to one another. 6. If a straight line be divided into any two parts, the rectangle contained by the whole and one of... | |
 | 1857 - 486 σελίδες
...on the same base AB, but on opposite sides of it; join CD, cutting AB in E: then shall CE = ED. 10. Triangles upon equal bases, and between the same parallels, are equal to one another. 11. In a circle, the angle in a semicircle is a right angle ; but the angle in a segment greater than... | |
 | Euclides - 1858 - 248 σελίδες
...2. 1 Pst. 2. 2 P. 31. 3 Def. A. 1 C.3&H. 2 3 P. 35. P. 34. 4 5 Ax. 7. Recap. CTE PROP. 38.— THEOR. Triangles upon equal bases and between the same parallels, are equal to one another. CONSTRUCTION. — Pst. 2. A st. line may be produced indefinitely. P. 31. To draw a line through a... | |
 | Euclides - 1868 - 88 σελίδες
...equal to one ano CON. Pst. 2. P. 31. Def. A. DEM. P. 35. 34. Ax. 7. SCHOL. PIIOP. XXXVIII. TIIEOU. Triangles upon equal bases and between the same parallels are equal to one anoti Coy. Pst. 2. P. 31. Def. A. DEM. P. 36. 34. Ax. 7. EXP. 1 Hyp. 1. ,, 2. 2 Concl. CON. 1 Pst.... | |
 | Sandhurst roy. military coll - 1859 - 672 σελίδες
...bisect a given rectilineal angle, that is, to divide it into two equal angles. 2. Parallelograms on equal bases, and between the same parallels, are equal to one another. 3. In obtuse-angled triangles if a perpendicular be drawn from either of the acute angles to the opposite... | |
 | Euclides - 1860 - 288 σελίδες
...equal (Ax. 7) ; therefore the triangle ABC is equal to the triangle DBC. . - . PROPOSITION XXXVUI. THEOREM. Triangles upon equal bases, and between the same parallels, are equal to one another. Given the triangles ABC and DEF upon equal bases BC and EF, and between the same parallels BF, AD ;... | |
 | Robert Potts - 1860 - 380 σελίδες
...parallelogram-SBCF. Therefore, parallelograms upon the same, &c. OED PROPOSITION XXXVI. THEOREM. Parallelograms upon equal bases and between the same parallels, are equal to one another. Let ABCD, EFGHbe parallelograms upon equal bases BC, FG, and between the same parallels AH, BG. Then the... | |
 | Royal college of surgeons of England - 1860 - 332 σελίδες
...the three interior angles of every triangle are together equal to two right angles. 5. Parallelograms upon equal bases and between the same parallels are equal to one another. 6. If a straight line be divided into any two parts, the squares on the whole line and one of the parts... | |
 | Euclides - 1861 - 464 σελίδες
...be produced in a st. L. 3, I. From the gr. of two st. Ls. to cut off a pt. = the less. DEM. 38, 1. Triangles upon equal bases and between the same parallels are equal to one another. 1, V. Def. 5, V. The 1st of four Ms is said to have the same ratio to the 2nd which the 3rd has to... | |
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Parallelograms upon equal bases, and between the same parallels, are equal to one another. 
