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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152

X

z

t

t

t

z

—sec.

=tan.

—sec.

1L

z

z

z

l

of<|>— 1

of <£>

of <j>

X

X

y

— cosec.of (f>

y

=sineof <p

deg.min.

22„30

.08239

.41421

1.0824

2.6131

.38268

22,,35

.08305

.41592

1.0830

2.6040

.38403

22,,40

.08370

.40636

.41763

1.0837

4.855

4.9894

1.0277

2.5949

2.667

.38537

22, ,45

.08436

.41934

1.0844

2.5859

.38671

22,,50

.08503

.42105

1.0850

2.5770

.38805

22, ,55

.08569

.42276

1.0857

2.5681

.38939

23,, 0

.08838

.41267

.42447

1.0864

4.778

4.9152

1.0286

2.5593

2.633

.39073

23» 5

.08703

.42619

1.0870

2.5506

.39207

23„10

.08771

.42791

1.0877

2.5419

.39341

23,, 2 5

.08839

.42963

1.0884

2.5333

.39474

23,,20

.08907

.41900

.43136

1.0891

4.704

4.8430

1.0295

2.5247

2.599

.39608

23,>25

.08975

.43308

1.0897

2.5163

.39742

28*30

.09044

*43481

1.0904

2.5078

.39875

23,,35

.09113

.43654

1.0911

2.4995

.40008

23,,40

.09183

.42533

.43828

1.0918

4.632

4.7729

1.0304

2.4912

2.567

.40142

23,,45

.09252

.44001

1.0925

2.4829

.40275

23,,50

.09322

.44175

1.0932

2.4748

.40408

23,,55

.09393

.44349

1.0939

2.4666

.40541

24,, 0

.09464

.43169

.44523

1.0946

4.562

4.7046

1.0314

2.4586

2.536

.40674

24» 5

.09535

.44697

1.0953

2.4506

.40806

24„10

.09606

.44872

1.0961

2.4426

.40939

24« 15

.09678

.45047

1.0968

2.4347

.41072

24»20

.09750

.43807

.45222

1.0975

4.493

4.6382

1.0323

2.4269

2.505

.43204

24„25

.09822

.45397

1.0982

2.4191

.41337

24,,30

.09895

.45573

1.0989

2.4114

.41469

24,,35

.09968

.45748

1.0997

2.4037

.41602

24„40

.10041

.44447

.45924

1.1004

4.426

4.5736

1.0333

2.3961

2.476

.41734

24,,45

.10115

.46101

1.1011

2.3886

.41866

24,,50

.10189

.46277

1.1019

2-3811

.41998

24 „55

.10263

.46454

1.1026

2.3736

.42130

25„ 0

.10338

.45087

.46631

1.1034

4.361

4.5107

1.0342

2.3662

2.447

.42262

25,, 5

.10413

.46808

1.1041

2.3588

.42394

25„10

.10488

.46985

1.1049

2.3515

.42525

25,, 15

.10564

.47163

1.1056

2.3443

.42657

25,,20

.10640

.45729

.47341

1.1064

4.29S

4.4494

1.0352

2.3371

2.419

.42788

25,,25

.10716

.47519

1.1072

2.3299

.42920

25,,30

.10793

.47697

1.1079

2.3228

.43051

25„35

.10870

.47876

1.1087

2.3158

.43182

25,,40

.10947

.46374

.48055

1.1095

4.236

4.3897

1.0363

2.3088

2.392

.433 13

25,,45

.11025

.48234

1.1102

2.3018

.43444

25„50

.11103

.48414

1.1110

2.2949

.43575

25/;55

.11181

.48593

1.1118

2.2880

.43706

26,, 0

.11260

.47021

.48773

1.1126

4.176

4.3315

1,0373

2.2812

2.366

.43837

26,, 5

.11339

.48953

1.1134

2.2744

.43968

26„10

.11419

.49134

1.1142

2.2677

.44098

26, ,15

.11498

.49314

1.1150

2.2610

.44229

26„20

.11579

.47670

.49495

1.1158

4.117

4,2747

1.0383

2.2543

2.341

.44359

26,,25

.11659

.49677

1.1166

2.2477

.44490

26,,30

.11740

.49858

1.1174

2.2412

.44620

26,,35

.11821

.50040

1.1182

2.2346

.44750

26, ,40

.11903

.48320

.50222

1.1190

4.060

4 2198

1.0394

2.2282

2.316

.44880

26,,45

.11985

.50404

1.1198

2,2217

.45010

28*50

.12067

.50587

1.1207

2.2153

.45140

2 6,,55

.12149

.50769

1.1215

2.2090

.45269

 
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