| 1852 - 512 pagina’s
...figure, together with four right angles, are equal to twice us many right angles as the figure has sides. 3. To a given straight line to apply a parallelogram...of its angles equal to a given rectilineal angle. SECTION II. — 1. If a straight line be divided into any two parts, the squares of the whole line,... | |
| Euclides - 1852 - 152 pagina’s
...complement BK is equal to the remaining complement KD. Wherefore the complements, &c. QED PROP. XLIV. PROB. To a given straight line to apply a parallelogram,...of its angles equal to a given rectilineal angle. Let AB be the given straight line, and C the given triangle, and D the given rectilineal angle. It... | |
| Royal Military Academy, Woolwich - 1853 - 400 pagina’s
...Ax.) to the remaining complement KD. Wherefore the complements, etc. (i. ED PROPOSITION XLIV. PROB. To a given straight line to apply a parallelogram,...of its angles equal to a given rectilineal angle. Let AB be the given straight line, C the given triangle, and D the given rectilineal angle. It is required... | |
| Euclides - 1853 - 146 pagina’s
...BK is equal to the remaining complement KD. Wherefore, the complements, &c. QED PROP. XLIV. PEOBLEM. To a given straight line to apply a parallelogram,...have one of its angles equal to a given rectilineal Let AB be the given straight line, and C the given triangle, and D the given rectilineal angle. It... | |
| Euclides - 1853 - 178 pagina’s
...Therefore, if a parallelogram, <fee. QED PROPOSITION XLII. — PROBLEM. To describe a parallelogram that shall be equal to a given triangle, and have one of its angles equal to a given rectilineal angle. LET abС be the given triangle, and d the given rectilineal angle. It is required to describe a parallelogram... | |
| Euclides - 1853 - 334 pagina’s
...and having one of its angles ABN equal to the given angle D. Which was to be done. PEOP. XLV. PEOB. To a given straight line to apply a parallelogram which shall be equal to a given polygon, and have an angle equal to a given angle. I. Let the polygon have four sides. Let AB be the... | |
| Euclid - 1853 - 176 pagina’s
...straight line (AB) to construct a parallelogram which shall be equal in area to a given triangle (C), and have one of its angles equal to a given rectilineal angle (D). SOLUTION. Produce AB to E, and upon BE construct a parallelogram BEFG equalin area to the triangle... | |
| William Somerville Orr - 1854 - 534 pagina’s
...equal, л the complements, &c. QED PROPOSITION XLIV.— PJIOBLEM, To a givenßnile straight line (AB) to apply a parallelogram which shall be equal to a given triangle (C), and have one of its angles equal to a given angle (D). Make the parallelogram В F = triangle... | |
| Great Britain. Committee on Education - 1855 - 976 pagina’s
...the other, the base of that which has the greater angle shall be greater than the base of the other. 3. To a given straight line to apply a parallelogram...of its angles equal to a given rectilineal angle. Section 2. 1. If a straight line be divided into any two parts, the square of the whole line is equal... | |
| 1855 - 264 pagina’s
...which eir two sides terminated at one extremity of the ba sides equal to the the base of the other. 3. To a given straight line to apply a parallelogram...of its angles equal to a given rectilineal angle. of the whole line is equal between the points of section. 3. To describe a square that shall be equal... | |
| |