 The General Use of the Canon and Tables of Logarithms.
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
In a RECTANGLE TRIANGLE. 184 011
1. To find a Side by knowing the Base and the Angle opposite to the required Side. 184 011
2. To find a Side by knowing the Base and the other Side. 184 011
3. To find a Side by knowing the two Oblique Angles. 185 011
4. To find the Base by knowing both the Sides. 185 011
5. To find the Base by knowing one Side and the Angle opposite to that Side. 185 011
6. To find an Angle by knowing the other Oblique Angle, and the Side opposite to the Angle required. 186 012
7. To find an Angle by knowing the other Oblique Angle, and the Side opposite to the Angle given. 186 012
8. To find an Angle by knowing the base, and the Side opposite to the Angle required. 186 012
9. To find a Side, by knowing the other Side, and the Angle opposite to the Side required. 187 012
10. To find a Side, by knowing the other Side, and the Angle next to the Side required. 187 012
11. To find a Side, by knowing the Base, and the Angle next to the Side required. 187 012
12. To find the Base by knowing both Oblique Angles. 188 013
13. To find the Base by knowing one of the Sides and the Angle next to that Side. 188 013
14. To find an Angle by knowing both Sides. 188 013
15. To find an Angle by knowing the Base, and the Side next to the Angle required. 189 013
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
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
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
19. To find an Angle by knowing the three Sides. 190 014
20. To find a Side by knowing the three Angles. 192 015
21. To find a Side by the other two Sides and the Angle comprehended. 193 015
22. To find a Side by knowing the other two Sides and one Angle next to the Side required. 194 016
23. To find a Side by knowing one Sides and the two Angle next to the second Side. 194 016
24. To find a Side by knowing two Angle and the Side inclosed by them. 195 016
25. To find an Angle by knowing the other two Angles and one Side next to the Angle required. 195 016
27. To find an Angle by knowing tow Sides and the Angles contained by them. 196 017
28. To find an Angle by knowing two next Sides, and one of the other Angles. 196 017
29. To find a Side, by knowing the other two Sides, and their opposite Angle. 197 017
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 © Rainer Stumpe URL: www.rainerstumpe.de