| Sandhurst roy. military coll - 1859 - 1869 sider
...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
...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 - 361 sider
...equal to the triangle DBC. Wherefore, triangles, &c. QED PROPOSITION XXXViII. THEOREM. T•iangles **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. Then... | |
| Royal college of surgeons of England - 1860
...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
...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... | |
| War office - 1861 - 12 sider
...why the product is not the square root of the product of 8 and •0002. EUCLID 1. Parallelograms on **equal bases and between the same parallels are equal to one another.** 2. If the square described on one of the sides of a triangle be equal to the squares described on the... | |
| 1863
...point in one of the sides ; also by a line drawn perpendicular to one of the sides. 8. Proposition 38, **Theorem ; Triangles upon equal bases and between the same parallels are equal to one another.** 9. Divide an equilateral trianglo into four equal triangles. Book 2. 10. Proposition 7, Theorem ; It... | |
| Robert Potts - 1863
...triangle be produced, the angles upon the other side of the base shall be equal. 9. Parallelograms **upon equal bases and between the same parallels are equal to one another.** A parallelogram has one side fixed, while the other sides move in such a manner that its area is- always... | |
| University of Oxford - 1863
...given straight line, make a rectilineal angle equal to a given rectilineal angle. 5. Parallelograms **upon equal bases, and between the same parallels, are equal to one another.** 6. Describe a parallelogram equal to a given rectilineal figure, and having an angle equal to a given... | |
| Euclides - 1863
...consequently, half the product of the base ana altitude gives the area of a triangle. PROP. 38. — THEOR. **Triangles upon equal bases and between the same parallels, are equal to** cote another. E. 1 C. 3 Cos.— Pst. 2, P. 31, Def. A.— DEM.— P. 36, P. 31, Ax. 7. Hyp. 1. Let... | |
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