## Elements of Geometry and Trigonometry |

### From inside the book

Results 1-5 of 72

Page 13

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**angle**A. The square of the line AB is designated by AB2 ; its cube by AB . What is meant by the square and cube of a ...**given**line . 13. Magnitudes , which being applied to each other , coincide throughout their whole extent , are ... Page 21

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**angle**ABC be equal to the**angle**ACB ; then will the side AC be equal to the side AB . D For , if these sides are not ...**given**point , BOOK I. 21. Page 22

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**angle**ACB = BCF ( Prop . V. Cor . ) . But the**angle**ACB is a right**angle**, by hypothesis ; therefore , BCF must likewise be a right**angle**. But if the adja- cent**angles**BCA , BCF , are ...**given**point , DE the**given**22 GEOMETRY . Page 23

Adrien Marie Legendre. Let A be the

Adrien Marie Legendre. Let A be the

**given**point , DE the**given**line , AB the perpendicular , and AD , AC , AE , the ...**angle**CBF CBA , the side CB common , and the - D A BE F side BF BA ; hence the third sides , CF and CA are equal ... Page 24

Adrien Marie Legendre. Let AB be the

Adrien Marie Legendre. Let AB be the

**given**straight line , C the middle point , and ECF the perpendicular . First ...**angle**C - F . D G CE T If the side BC is equal to EF , the like**angles**of the two triangles are equal ( Prop . X ...### Other editions - View all

### Common terms and phrases

adjacent adjacent angles altitude angle ACB angle BAC ar.-comp base multiplied bisect Book VII centre chord circ circumference circumscribed common cone convex surface Cosine cylinder diagonal diameter dicular distance divided draw drawn equally distant equations equivalent feet figure find the area formed four right angles frustum given angle given line gles greater homologous sides hypothenuse inscribed circle inscribed polygon intersection less Let ABC logarithm number of sides opposite parallelogram parallelopipedon pendicular perimeter perpen perpendicular perpendicular let fall plane MN polyedron polygon ABCDE PROBLEM proportional PROPOSITION pyramid quadrant quadrilateral quantities radii radius ratio rectangle regular polygon right angled triangle S-ABCDE Scholium secant segment similar Sine Cotang slant height solid angle solid described sphere spherical polygon spherical triangle square described straight line tang tangent THEOREM triangle ABC triangular prism vertex