Image from page 77 of “Trigonometria” (1658)

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Image from page 77 of “Trigonometria” (1658)
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Identifier: trigonometria00newt
Title: Trigonometria
Year: 1658 (1650s)
Authors: Newton, J.
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Contributing Library: The Computer Museum Archive
Digitizing Sponsor: Gordon Bell

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%igonometria Britamiha. therefore that the fines complement of the vertical angles I R> IQ^are reciprocally proportional to the tangents of the fides F M, L G>jr. for by the 2 Axiom. ^ r Sines of►§ jTangents of8 yvhole fineq*_Tangents of *W fj&* half difference of the vetfed fines. The verfed fines of two arkjgiven ; ITta r/g£tf y?»f J 0/ f^tf &tf/f fumme Andthe half difference of thoje arkj are mean proportionals between the whole

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Let the given arch be P E, P C,and their verfed fines P B,PVVtheir difference is B V, the fumme of the given arks E P C, andtheir difference C Y. Alfo let the fine of the half fumme be E Oor O C, and the fines of half the difference CK, I fay that E O,^C K, are mean proportionals between X E, C L. For the an-tVgles E X O, O Y T, C K L, are equal, by the 20 prop. 3 Sudid.And the angles at O and L right. Therefore the triangles XEO, KCL, are like, and X E, EO, KC. CL, proportional^which was to be demonftrated. CONSECTART. If the triangle E C Y be inferibed in a circle, and from any angle as E C Y the perpendiculardo fall on the oppofite fide EY,the halfes of the legs of the faid angle OC,CK, are mean propor-tionals between half the perpendicular C L, and the femidiameter X E, therefore the oblongsof O C, C K, X E, C L, are equal. PROPOS ITION. I. In all fpherical triangles, whofe fides are known, yfs the ReVi avgalar figure of the fides comprehending the vertical angle,/To the Quadrat o

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Image from page 92 of “Le Operazioni del Compasso Geometrico et Militare” (1649)
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Identifier: leoperazionidelc17paol
Title: Le Operazioni del Compasso Geometrico et Militare
Year: 1649 (1640s)
Authors: Galileo Galilei
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Contributing Library: The Computer Museum Archive
Digitizing Sponsor: Gordon Bell

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za neceffità,ef.fendo ficuro, che qualunque di mediocre ingegno balle-rà comprefe le già dichiarate, potrà per fé fteffo ritrouar-nealtre accommodatead ogni cafoparticolare , che oc-correr gli poteflè* Ma non folamente haurei potuto diffondermi più affainelle regole del mifurar con la vifta» ma molto, & moltopiù ampliarmi nel moftrare la refoluzione, poflo dire d-infiniti altri Problemi di Geometria,& di Aritmetica, iquali con le altre Linee del noftro Strumento rifoluer fipotlono-, poiché, & quanti ne fono tra gli Elementi d-Euclide , de in molti altri Autori, vengono da me con—abreuiffime, & faciliffime maniere rifoluti; ma come d«L_^principio fi è detto la mia prefente intenzione è ftata diparlar con perfone militari folamente, & di pochiilimealtrecofe, fuori di quelle , che à fimili profeflori appar-tengono, riferuandomi in altra occafione à publicare in-terne con la fabrica dello Strumento vna più ampia de*{crittione de fuo fuoi vfi. IL FINE.

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Image from page 208 of “Sub turri = Under the tower : the yearbook of Boston College” (1913)
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Identifier: subturriundertow1980bost
Title: Sub turri = Under the tower : the yearbook of Boston College
Year: 1913 (1910s)
Authors: Boston College
Subjects: Boston College Boston College
Publisher: [Boston] : The College
Contributing Library: Boston College Libraries
Digitizing Sponsor: Boston Library Consortium Member Libraries

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Marybeth Pearson School of NursingB.S. Nursing 204 Seniors Susan Pease Arts & SciencesB.A. Psychology David N. Pender Sharon Perhac School of Management Arts & Sciences B.S. Finance B.A. Psychology Marketing, Economics Economics Stacey D. Perkins Arts & SciencesB.A. English Timothy J. Perlcins School of Management Patricia Perrello Raymond G. Perrone B.S. Accounting School of Management School of Management Computer Science B.S. Accounting B.S. Marketing

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Jeanne M. Perry Arts & SciencesB.A. Psychology Robert W. Petit Cheryl A. Petraitis School of Management School of Nursing B.S. Accounting B.S. NursingMarketing Jeanne M. Petrillo Arts & SciencesB.A. SpeechCommunication Vincent J. Petrozzo Arts & SciencesB.A. History

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