Buch 
Tracts on vaults and bridges : containing observations on the various forms of vaults; on the taking down and rebuilding London Bridge : and on the principles of arches: illustrated by extensive tables of bridges : also containing the principles of pendent bridges, with reference to the properties of the catenary, applied to the Menai Bridge : and a theoretical investigation of the catenary / Samuel Ware
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164

?

a?

= sec.of<£i

y

2

= tan,of </>

t

= sec.of 4>

deg. min,

72«47

2.3785

I.8883

3.2271

3.3785

72«50

2.3881

3.2371

3.3881

72*55

2.4041

3.2539

3.4041

73*

2.4203

3.2708

3.4203

73* 6

2.4400

1.9067

3.2914

3.4400

73*10

2.4532

3.3052

3.4532

73*15

2.4699

3.3226

3.4699

73*20

2.4867

3.3402

3.4867

73*24

2.5003

1.9248

3.3544

3.5003

73*30

2.5209

3.3759

3.5209

73*35

2.5383

3.3941

3.5383

73*41

2.5594

1.9426

3.4160

3.5594

73*45

2.5736

3.4308

3.5736

73*50

2.5915

3.4495

3.5915

73*55

2.6096

3.4684

2.6096

73*58

2.6206

1.9600

3.4798

3.6206

74*

2.6279

3.4874

3.6279

74* 5

2.6464

3.5066

3.6464

74*10

2.6651

3.5261

3.6651

74*14

2.6802

1.9770

3.5418

3.6802

74«20

2.7031

3.5656

3.7031

74*25

2.7224

3.5856

3.7224

74*29

2.7381

1.9938

3,6018

3.7381

74*35

2.7617

3.6263

3.7617

74*40

2.7817

3.6470

3.7817

74*45

2.8018

2.0103

3.6680

3.8018

74*50

2.8222

3.6891

3.8222

74*55

2.8428

3.7105

3.8428

74*59

2.8595

2.0266

3.7277

3.8595

75* 5

2.8848

3.7539

3.8848

75*10

2.9061

3.7759

3.9061

75*13

2.9190

2.0425

3.7893

3.9190

75*15

2.9277

3.7983

3.9277

75«20

2.9495

3.8208

3.9495

75*25

2.9716

3.8436

3.9716

75*27

2.9805

2.0582

3.8528

3.9805

75*30

2.9939

3.8667

3.9939

75*35

3.0165

3.8900

4.0165

75*40

3.0394

2.0737

3.9136

4.0394

75*45

3.0625

3.9375

4.0625

75*50

3.0859

3.9616

4.0859

75*53

3.1001

2.0889

3.9763

4.1001

75*55

3.1096

3.9861

4.1096

76*

3.1336

4.0108

4.1336

76* 5

3.1578

4.0358

4.1578

76* 7

3.1676

2.1063

4.0459

4.1676

76*10

3.1824

4.0611

4.1824

76*15

3.2072

4.0867

4.2072

76*21

3.2375

2.1234

4.1178

4.2375

76*25

3.2579

4.1388

4,2579

76*30

3.2837

4.1653

4.2837

76*35

3.3100

2.1403

4.1921

4,3100

76*40

3.3362

4.2193

4.3362

76*45

3.3630

4.2468

4,3630

A

X

Z

X

z

y

t

%

= cosec.of <p

t

y

.7934

1.357

1.710

1.0469

1.0466

1.0462

1.0457

1.7900

.7814

1.349

1.726

1.0451

1.0448

1.0443

1.0438

1.8042

.7699

1.342

1.743

1.0435

1.0429

1.0425

1.8184

.7588

1.335

1.759

1.0420

1.0416

1.0412

1.0407

1.8326

.7481

1.328

1.775

1.0404

1.0403

1.0399

1.0394

1.847

.7377

1.321

1.791

1.0391

1.0386

1.0382

1.861

.7277

1.315

1.808

1.0378

1.0373

1.0369

1.876

.7180

1.309

1.824

1.0365

1.0361

1.0357

1.890

.7086

1.304

1.840

1.0354

1.0349

1.0345

1.905

.6995

1.298

1.856

1.0342

1.0341

1.0337

1.0333

1.919

.6907

1.293

1.872

1,0331

1.0329

1.0325

1.934

.6821

1.288

1.888

1.0321

1.0317

1.0314

1.948

.6738

1.283

1.903

1.0311

1.0310

1.0306

1.0302

1.962

.6644

1.277

1.922

1.0301

1.0299

1.0295

1.980

.6554

1.272

1.940

1.0291

1.0288

1.0284

1.997

.6466

1.267

1.959

1.0281

1.0277

1.0273

2.014

t

= sineof <f>

.95519

.95545

.95588

.95630

.95681

.95715

.95757

.95800

.95832

.95882

.95923

.95972

.96005

.96046

,96086

.96110

.96126

.96166

.96206

.96238

.96285

96324

.96355

.96402

.96440

.96479

.96517

.96555

.96581

.96630

.96667

.96690

.96704

.96741

.96778

.96793

.96815

.96851

.96887

.96923

.96959

.96980

.96994

,97030

.97065

.97079

.97099

.97134

.97175

.97203

.972S7

.97271

.97804

.97338