The General Use of the Canon and Tables of Logarithms.
Section; |
Heading |
Page |
File |
CHAP. I. |
Concerning the Use of the Line of Numbers |
166 |
002 |
Prop. I. |
To multiply one Number by another. |
166 |
002 |
PROP. II. |
To divide one Number by another. |
167 |
002 |
PROP. III. |
To find the Square of a Number. |
168 |
003 |
PROP. IV. |
To find the Cubique Root of a Number. |
168 |
003 |
PROP. V. |
Three Numbers being given, to find a fourth Proportional. |
169 |
003 |
PROP. VI. |
Three Numbers being given, to find a fourth in a duplicated Proportion. |
172 |
005 |
PROP. VII. |
Three Numbers being given, to find a fourth in a triplicated Proportion. |
174 |
006 |
PROP. VIII. |
Having two Numbers given, to find a third in continual Proportion, a fourth, a fifth, a sixth, and so forward. |
175 |
006 |
PROP. IX. |
Having two extreme Numbers given, to find a mean Proportional between them. |
179 |
008 |
PROP. X. |
Having two extreme Numbers given, to find two mean Proportionals between them. |
179 |
008 |
CHAP. II. |
Concerning the Use of the Lines of Sines and Tangents in the resolving of Spherical Triangles. |
182 |
010 |
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In a RECTANGLE TRIANGLE. |
184 |
011 |
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1. To find a Side by knowing the Base and the Angle opposite to the required Side. |
184 |
011 |
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2. To find a Side by knowing the Base and the other Side. |
184 |
011 |
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3. To find a Side by knowing the two Oblique Angles. |
185 |
011 |
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4. To find the Base by knowing both the Sides. |
185 |
011 |
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5. To find the Base by knowing one Side and the Angle opposite to that Side. |
185 |
011 |
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6. To find an Angle by knowing the other Oblique Angle, and the Side opposite to the Angle required. |
186 |
012 |
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7. To find an Angle by knowing the other Oblique Angle, and the Side opposite to the Angle given. |
186 |
012 |
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8. To find an Angle by knowing the base, and the Side opposite to the Angle required. |
186 |
012 |
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9. To find a Side, by knowing the other Side, and the Angle opposite to the Side required. |
187 |
012 |
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10. To find a Side, by knowing the other Side, and the Angle next to the Side required. |
187 |
012 |
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11. To find a Side, by knowing the Base, and the Angle next to the Side required. |
187 |
012 |
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12. To find the Base by knowing both Oblique Angles. |
188 |
013 |
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13. To find the Base by knowing one of the Sides and the Angle next to that Side. |
188 |
013 |
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14. To find an Angle by knowing both Sides. |
188 |
013 |
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15. To find an Angle by knowing the Base, and the Side next to the Angle required. |
189 |
013 |
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16. To find an Angle by knowing the Base, and the other Oblique Angle. |
189 |
013 |
|
In any SPHERICAL TRIANGLE. |
189 |
013 |
|
17. To find a Side opposite to an Angle, by knowing one Side and two Angles, the one opposite to the Side given, the other to the Side required. |
189 |
013 |
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17. To find a Side opposite to an Angle, by knowing one Side and two Angles, the one opposite to the Side given, the other to the Side required. |
190 |
014 |
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18. To find an Angle opposite to a Side, by knowing one Angle and two Sides, the one opposite to the Angle given, the other to the Angle required. |
190 |
014 |
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19. To find an Angle by knowing the three Sides. |
190 |
014 |
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20. To find a Side by knowing the three Angles. |
192 |
015 |
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21. To find a Side by the other two Sides and the Angle comprehended. |
193 |
015 |
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22. To find a Side by knowing the other two Sides and one Angle next to the Side required. |
194 |
016 |
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23. To find a Side by knowing one Sides and the two Angle next to the second Side. |
194 |
016 |
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24. To find a Side by knowing two Angle and the Side inclosed by them. |
195 |
016 |
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25. To find an Angle by knowing the other two Angles and one Side next to the Angle required. |
195 |
016 |
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27. To find an Angle by knowing tow Sides and the Angles contained by them. |
196 |
017 |
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28. To find an Angle by knowing two next Sides, and one of the other Angles. |
196 |
017 |
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29. To find a Side, by knowing the other two Sides, and their opposite Angle. |
197 |
017 |
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30. To find an Angle, by knowing the other two Angles, and their opposite Sides. |
197 |
017 |
CHAP. III. |
Concerning the joyned Use of the Line of Numbers, Sines and Tangents. |
198 |
018 |
Prop. I. |
Having three Angles and one Side, to find the other two Sides. |
198 |
018 |
Prop. II. |
Having two Sides and one Angle opposite to either of those Sides, to find the other two Angles and the third Side. |
199 |
018 |
Prop. III. |
Having two Sides, and the Angle between them, to find the other two Angles and the third Side. |
201 |
019 |
Prop. IV. |
Having three Sides, to find the three Angles. |
202 |
020 |
Prop. V. |
Having the Base and Perpendicular in a right-lined Triangle, to find the superficial Content. |
203 |
020 |
Prop. VI. |
Having two Sides of a right-lined Triangle, and the Angle between them, to find the Content. |
204 |
021 |
Prop. VII. |
Having three Angles, and one Side of a right-lined Triangle, to find the Content. |
204 |
021 |
Prop. VIII. |
Having three Sides of a right-lined Triangle, to find the Content. |
205 |
021 |
Prop. IX. |
Having three Sides of a right-lined Triangle, to find the Perpendicular. |
205 |
021 |
Prop. X. |
Having the Semidiameter of a Circle, to find a Chord for any Ark proposed. |
206 |
022 |
CHAP. IV. |
Containing some Use of right-lined Triangles in the Practice of FORTIFICATION. |
207 |
022 |
Prop. I. |
Having the Side of a Regular Fort, with the length of the Gorge, the Flank and the Face of the Bulwark, to find the rest of the Lines and Angles. |
207 |
022 |
Prop. II. |
Having the ordinary Angles, with the Flank and Line of Defence, to find the rest of the Lines and Angles in a Regular Fort. |
212 |
025 |
Prop. III. |
Having the ordinary Angles, with the Line of Defence and Face of the Bulwark, to find the rest of the Lines and Angles in a Regular Fort. |
217 |
027 |
Prop. IV. |
Having the Angles of an irregular Fort, with the Sides between them, and the face of the Bulwark, to find the rest of the Lines and Angles. |
219 |
028 |
Prop. IV. |
Having the lines and Angles of a Regular Fort, to find the Content in Feet and Acres. |
223 |
030 |
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