 | 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
...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 - 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... | |
 | War office - 1861 - 714 σελίδες
...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 - 300 σελίδες
...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 - 482 σελίδες
...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 - 316 σελίδες
...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 - 74 σελίδες
...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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Triangles upon equal bases, and between the same parallels, are equal to one another. 
