| Robert Simson - Trigonometry - 1806 - 518 pages
...base FH, so is the solid AV to the solid ED. Wherefore, if a solid, 8;c. QED PROP. XXVI. PROB. See N. **AT a given point in a given straight line, to make a** solid angle equal to a given solid angle contained by three plane angles. Let AB be a given straight... | |
| John Mason Good - 1813
...one of which shall he to the base of the other, as the one solid is to the other. Prop. XXVI. Prob. **At a given point in a given straight line, to make a** solid angle equal to я given sulid angle contained by three plane angles. Prop. XXVII. Prob. To describe... | |
| Euclides - 1816 - 528 pages
...base FH, so is the solid AV to the solid ED. Wherefore, if a solid, &c. QED PROP. XXVI. PROB. see N. **AT a given point in a given straight line, to make a** solid angle equal to a given solid angle contained by three plane angles. Let AB be a given straight... | |
| John Playfair - 1819 - 317 pages
...FG, GK equal to the three given straight 'lines, A, B, C Which was to he done. / PROP. XXIII. PROB. **At a given point in a given straight line, to make a rectilineal** anglt equal to a given rectilitiejtl angle. Let AB be the given straight line, and A the given point... | |
| Peter Nicholson - Mathematics - 1825 - 372 pages
...AF is to the base FH, so is the solid AV to the solid ED. Wherefore, if a solid, &c. QED PROP. XXVI. **PROBLEM. At a given point in a given straight line, to make a** solid angle equal to a given solid angle contained by three plane angles. Let AB be a given straight... | |
| John Playfair - Circle-squaring - 1826 - 320 pages
...KF, FG, GK equal to the three given straight lines, A, B, C. Whieh was to be done. PROP. XXIII. PROS. **At a given point in a given straight line, to make a** reetilineal angle equal to a given reetilineal angle. Let AB be the given straight line, and A the... | |
| Robert Simson - Trigonometry - 1827 - 513 pages
...so is the solid * 5 Def. 5. AV to the solid ED. Wherefore, if a solid, &c. QE o. PROP. XXVI. PROB. **At a given point in a given straight line, to make a** solid See N. angle equal to a given solid angle contained by three plane angles. Let AB be a given... | |
| Euclid - 1835 - 540 pages
...FH, so is the solid AV to the solid ED. Wherefore, " if a solid," &c. QED See N. PROP. XXVI. PROB. **At a given point in a given straight line, to make a** solid angle equal to a given solid angle contained by three plane angles. Let AB be a given straight... | |
| George Darley - Euclid's Elements - 1836 - 172 pages
...the other, by ART. 6. This, &c. [See NOTE H.] In the common Euclids this problem is enounced thus: " **At a given point in a given straight line to make...rectilineal angle equal to a given rectilineal angle."** This is imperfect, the condition of the given right line forming one side of the required angle being... | |
| Euclides - Euclid's Elements - 1837 - 112 pages
...third. Steps of the Demonstration. 1. Prove that FK = A, 2. that GK = c, 3. that FG = a. PROPOSITION **XXIII. Problem. At a given point in a given straight...rectilineal angle equal to a given rectilineal angle.** Proved by Proposition VIII. PROPOSITION XXIV. Theorem. If two triangles have two sides of the one equal... | |
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