## Elements of Geometry and Trigonometry |

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Page 6

... 252 Solution of Right angled Spherical Triangles by Logarithms , 255 Quadrantal Triangles , 257 Solution of Oblique angled Triangles by Logarithms , . 259 AN INDEX SHOWING THE PROPOSITIONS OF LEGENDRE WHICH

... 252 Solution of Right angled Spherical Triangles by Logarithms , 255 Quadrantal Triangles , 257 Solution of Oblique angled Triangles by Logarithms , . 259 AN INDEX SHOWING THE PROPOSITIONS OF LEGENDRE WHICH

**CORRESPOND**TO vi CONTENTS . Page 7

AN INDEX SHOWING THE PROPOSITIONS OF LEGENDRE WHICH

AN INDEX SHOWING THE PROPOSITIONS OF LEGENDRE WHICH

**CORRESPOND**TO THE PRINCIPAL PROPOSITIONS OF THE FIRST SIX BOOKS OF EUCLID . Euclid . Legendre . Euclid . Legendre . Euclid . Legendre . Book I. Book I. Cor.2 . of 32 Prop . 27 Prop . Page 12

The phrase , mutually equian- gular , has a

The phrase , mutually equian- gular , has a

**corresponding**signification , with respect to the angles . In both cases , the equal sides , or the equal angles , are named homologous sides or angles . Definitions of terms employed in ... Page 32

... and the figure be a par- allelogram . A D B For , having drawn the diagonal BD , the triangles ABD , BDC , have all the sides of the one equal to the

... and the figure be a par- allelogram . A D B For , having drawn the diagonal BD , the triangles ABD , BDC , have all the sides of the one equal to the

**corresponding**sides of the other ; therefore they are 32 GEOMETRY . Page 33

the

the

**corresponding**sides of the other ; therefore they are equal , and the angle ADB , opposite the side AB , is equal to DBC , opposite CD ( Prop . X. ) ; therefore , the side AD is parallel to BC ( Prop . XIX . Cor . 1. ) .### What people are saying - Write a review

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### Common terms and phrases

ABCD adjacent altitude base become Book called centre chord circle circumference circumscribed common cone consequently construction contained corresponding cosine Cotang cylinder described diameter difference distance divided draw drawn equal equation equivalent evident expressed extremities fall figure follows formed formulas four frustum give given gles greater half hence homologous included inscribed intersection less likewise logarithm manner means measured meet middle multiplied opposite parallel parallelogram parallelopipedon pass perpendicular plane polygon prism PROBLEM Prop proportional PROPOSITION pyramid quantities radii radius ratio reason rectangle regular remaining right angles Scholium segment shown sides similar sine solid solid angle sphere spherical triangle square straight line Suppose surface taken tang tangent THEOREM third triangle triangle ABC vertex whole