Clavius, Christoph, Geometria practica

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[21.] TRIANGVLORVM RECTILINEORVM RECTAN-gulorum problemata. I. PROPORTIONES LATERVM
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[22.] II. LATVS.
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[23.] III. LATVS.
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[24.] IIII. LATVS.
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[25.] V. BASEM.
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[26.] VI. BASEM.
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[27.] VII. ANGVLVM.
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[28.] VIII. ANGVLVM.
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[29.] TRIANGVLORVM RECTILINEO-rum obliquangulorum Problemata. IX. SEGMENTA LATERIS A Perpendiculari facta.
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[30.] X. LATERA DVO.
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[31.] Rurſus
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[32.] XI. LATVS.
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[33.] XII. LATVS.
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[34.] Deinde.
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[35.] Hæc autem tangens hoc etiam modo inuenietur, qui priori præferendus videtur.
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[36.] Poſt hæc.
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[37.] XIII. LATVS.
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[38.] XIIII. ANGVLOS DVOS.
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[39.] XV. ANGVLOS DVOS.
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[40.] XVI. ANGVLOS OMNES TRES. Ex tribus omnibus lateribus perueſtigare.
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[41.] Rurſus.
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[42.] XVII. PERPENDICVLAREM IN LATVS quodcunque ex angulo oppoſito cadentem. Ex tribus omnibus lateribus efficere notam.
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[43.] FINIS LIBRI PRIMI.
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[44.] GEOMETRIÆ PRACTICÆ LIBER SECVNDVS.
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[45.] PROBLEMA I.
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[46.] ALITER
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[47.] ALITER
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[48.] ALITER
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[49.] LEMMA.
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[50.] SCHOLIVM.
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1126INDEX. COROLLARIVM. Cylindro, priſmati, cono, ac pyramidi cu-
bum æqualem exhibere. # 369
XXXIX. Dato cubo æquale parallelepipedum rectangulum ſub data alti-
tudine, vel ſupra datam baſem conſtr@ere. # 370
COROLLARIVM. Cylindrum, priſma, conum, ac pyramidem
in parallelepipedum rectangulum æquale datæ altitudinis, vel baſis
commutare. # 370
XL. Sphæræ datæ cubum æqualem; Et dato cubo æqualem ſphæram con-
ſtituere. # 370
COROLLARIVM I. Sphæræ datæ ſolidum rectangulum ſupra
baſem quotlibet angulorum æquale, & pyramidem cuiuſcunque baſis
æqualem, vel etiam conum æqualem conſtruere. Et viciſsim cuilibet
priſmati ſphæram æqualem exhibere. # 371
COROLLARIVM II. Sphæram cuilibet corpori regulari con-
ſtituere æqualem. # 371
XLI. Duob{us}, aut plurib{us} cubis vnum cubum æqualem efficere.
# 372
SCHOLIVM. Quotlibet figuris ſolidis non cubis cubum æqua-
lem conſtruere. # 372
XLII. Dato cubo corp{us} regulare, quod ex quinque elegeris, æqualem con-
ſtruere. # 372
XLIII. Ex maiori cubo detrahere minorem, reſiduoque cubum æquale
exhibere. # 373
SCHOLIVM. Ex quauis figura ſolida maiori minorem quamcun-
que auferre, reſiduoque cubum æqualem conſtituere. # 373
XLIV. Datis duab{us}, aut plurib{us} ſphæris ſphæram vnam æqualem con-
ſtituere. # 373
XLV. Ex maiori ſphæra minorem ſphæram detrahere, reſiduoque ſphæram
æqualem exhibere. # 373
XLVI. Datum cubum, aut par allelepipedum, ſecundum datam proportio-
nem ſecare. # 373
SCHOLIVM. Priſma, vel cylindrum, ſecundum datam propor-
tionem diuidere. # 373
XLVI. Figuram Ellipſi ſimilem, quam ouatam dicunt, circino deſ@ri-
bere: Eiuſque aream, ſi beneficio trianguli æquilateri deſcripta est, explo-
rare. #

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